Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter 10, Problem 11CT
To determine

The conic represented by the polar equation r=312cosθ and find the rectangular equation.

Expert Solution & Answer
Check Mark

Answer to Problem 11CT

Solution:

The conic represented by the polar equation r=312cosθhyperbola and the equation of hyperbola in rectangular coordinates is (x+2)21y23=1 .

Explanation of Solution

Given information:

The polar equation, r=312cosθ

Theorem:

The polar equation of a conic with focus at the pole and directrix perpendicular to the polar axis at distance p to the left of the pole is r=ep1ecosθ, where e is the eccentricity of the conic.

If e=1, then the conic is a parabola and the axis of symmetry is perpendicular to the directrix.

If e>1, then the conic is a hyperbola and the transverse axis is perpendicular to the directrix.

If e<1, then the conic is an ellipse and the axis of symmetry is perpendicular to the directrix.

Compare the given equation r=312cosθ with r=ep1ecosθ ,

  e=2 and ep=3

By simplifying,

  p=32 .

Therefore, e=2>1, the conic is a hyperbola.

Now, r=312cosθ

Rearrange the equation,

  r(12cosθ)=3

Distribute r

  r2rcosθ=3

  r=3+2rcosθ

Square on both sides,

  r2=(3+2rcosθ)2

Since x=rcosθ and x2+y2=r2

  x2+y2=(3+2x)2

  x2+y2=9+12x+4x2

  3x2+12xy2=9

Completing the square in x ,

  (3x2+12x+12)y2=9+12

  3(x2+4x+4)y2=3

  3(x+2)2y2=3

Divide by 3 on both sides,

  (x+2)21y23=1

Therefore, (x+2)21y23=1 is the equation of hyperbola in rectangular coordinates

Chapter 10 Solutions

Precalculus Enhanced with Graphing Utilities

Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 39-56, find the vertex, focus, and...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - Satellite Dish A satellite dish is shaped like a...Ch. 10.2 - Constructing a TV Dish A cable TV receiving dish...Ch. 10.2 - Constructing a Flashlight The reflector of a...Ch. 10.2 - Constructing a Headlight A sealed-beam headlight...Ch. 10.2 - Suspension Bridge The cables of a suspension...Ch. 10.2 - Suspension Bridge The cables of a suspension...Ch. 10.2 - Searchlight A searchlight is shaped like a...Ch. 10.2 - Searchlight A searchlight is shaped like a...Ch. 10.2 - Solar Heat A mirror is shaped like a paraboloid of...Ch. 10.2 - Reflecting Telescope A reflecting telescope...Ch. 10.2 - Parabolic Arch Bridge A bridge is built in the...Ch. 10.2 - Parabolic Arch Bridge A bridge is to be built in...Ch. 10.2 - Gateway Arch The Gateway Arch in St. Louis is...Ch. 10.2 - Show that an equation of the form A x 2 +Ey=0 A0...Ch. 10.2 - Show that an equation of the form C y 2 +Dx=0 C0...Ch. 10.2 - Show that the graph of an equation of the form A x...Ch. 10.2 - Show that the graph of an equation of the form C y...Ch. 10.3 - The distance d from P 1 =( 2,5 ) to P 2 =( 4,2 )...Ch. 10.3 - To complete the square of x 2 3x , Add _____. (p....Ch. 10.3 - Find the intercepts of the equation y 2 =164 x 2 ....Ch. 10.3 - The point that is symmetric with respect to the...Ch. 10.3 - The point that is symmetric with respect to the...Ch. 10.3 - Prob. 6AYUCh. 10.3 - A(n) _______ is the collection of all points in a...Ch. 10.3 - For an ellipse, the foci lie on a line called the...Ch. 10.3 - For the ellipse x 2 4 + y 2 25 =1 , the vertices...Ch. 10.3 - For the ellipse x 2 25 + y 2 9 =1 , the value of a...Ch. 10.3 - If the center of an ellipse is ( 2,3 ) , the major...Ch. 10.3 - If the foci of an ellipse are ( 4,4 ) and ( 6,4 )...Ch. 10.3 - In problems 13-16, the graph of an ellipse is...Ch. 10.3 - In problems 13-16, the graph of an ellipse is...Ch. 10.3 - In problems 13-16, the graph of an ellipse is...Ch. 10.3 - In problems 13-16, the graph of an ellipse is...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In problems 17-26, find the vertices and foci of...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 27-38, find an equation for each...Ch. 10.3 - In Problems 39-42, write an equation for each...Ch. 10.3 - In Problems 39-42, write an equation for each...Ch. 10.3 - In Problems 39-42, write an equation for each...Ch. 10.3 - In Problems 39-42, write an equation for each...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 43-54, analyze each equation; that is,...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 55-64, find an equation for each...Ch. 10.3 - In Problems 65-68, graph each function. Be sure to...Ch. 10.3 - In Problems 65-68, graph each function. Be sure to...Ch. 10.3 - In Problems 65-68, graph each function. Be sure to...Ch. 10.3 - In Problems 65-68, graph each function. Be sure to...Ch. 10.3 - Prob. 69AYUCh. 10.3 - Prob. 70AYUCh. 10.3 - Prob. 71AYUCh. 10.3 - Prob. 72AYUCh. 10.3 - Prob. 73AYUCh. 10.3 - Prob. 74AYUCh. 10.3 - Prob. 75AYUCh. 10.3 - Prob. 76AYUCh. 10.3 - Prob. 77AYUCh. 10.3 - Prob. 78AYUCh. 10.3 - Prob. 79AYUCh. 10.3 - Prob. 80AYUCh. 10.3 - Prob. 81AYUCh. 10.3 - Prob. 82AYUCh. 10.3 - Prob. 83AYUCh. 10.3 - Prob. 84AYUCh. 10.3 - Prob. 85AYUCh. 10.4 - The distance d from P 1 =( 2,5 ) to P 2 =( 4,2 )...Ch. 10.4 - To complete the square of x 2 +5x , add ______....Ch. 10.4 - Find the intercepts of the equation y 2 =9+4 x 2 ....Ch. 10.4 - True or False The equation y 2 =9+ x 2 is...Ch. 10.4 - To graph y= ( x5 ) 3 4 , shift the graph of y= x 3...Ch. 10.4 - Find the vertical asymptotes, if any, and the...Ch. 10.4 - A(n) _______ is the collection of points in a...Ch. 10.4 - For a hyperbola, the foci lie on a line called the...Ch. 10.4 - Answer Problems 9-11 using the figure to the...Ch. 10.4 - Answer Problems 9-11 using the figure to the...Ch. 10.4 - Answer Problems 9-11 using the figure to the...Ch. 10.4 - In a hyperbola, if a=3 and c=5 , then b= ________....Ch. 10.4 - Prob. 13AYUCh. 10.4 - Prob. 14AYUCh. 10.4 - Prob. 15AYUCh. 10.4 - In Problems 15-18, the graph of a hyperbola is...Ch. 10.4 - Prob. 17AYUCh. 10.4 - Prob. 18AYUCh. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - In Problems 19-28, find an equation for the...Ch. 10.4 - Prob. 29AYUCh. 10.4 - In Problems 29-36, find the center, transverse...Ch. 10.4 - In Problems 29-36, find the center, transverse...Ch. 10.4 - Prob. 32AYUCh. 10.4 - Prob. 33AYUCh. 10.4 - Prob. 34AYUCh. 10.4 - Prob. 35AYUCh. 10.4 - Prob. 36AYUCh. 10.4 - Prob. 37AYUCh. 10.4 - In Problems 37-40, write an equation for each...Ch. 10.4 - Prob. 39AYUCh. 10.4 - In Problems 37-40, write an equation for each...Ch. 10.4 - Prob. 41AYUCh. 10.4 - Prob. 42AYUCh. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - Prob. 44AYUCh. 10.4 - Prob. 45AYUCh. 10.4 - Prob. 46AYUCh. 10.4 - Prob. 47AYUCh. 10.4 - Prob. 48AYUCh. 10.4 - Prob. 49AYUCh. 10.4 - In Problems 49-62, find the center, transverse...Ch. 10.4 - Prob. 51AYUCh. 10.4 - Prob. 52AYUCh. 10.4 - Prob. 53AYUCh. 10.4 - In Problems 49-62, find the center, transverse...Ch. 10.4 - Prob. 55AYUCh. 10.4 - Prob. 56AYUCh. 10.4 - Prob. 57AYUCh. 10.4 - Prob. 58AYUCh. 10.4 - Prob. 59AYUCh. 10.4 - In Problems 49-62, find the center, transverse...Ch. 10.4 - Prob. 61AYUCh. 10.4 - In Problems 49-62, find the center, transverse...Ch. 10.4 - Prob. 63AYUCh. 10.4 - Prob. 64AYUCh. 10.4 - Prob. 65AYUCh. 10.4 - Prob. 66AYUCh. 10.4 - Prob. 67AYUCh. 10.4 - In Problems 67-74, analyze each equation. ( y+2 )...Ch. 10.4 - Prob. 69AYUCh. 10.4 - Prob. 70AYUCh. 10.4 - In Problems 67-74, analyze each equation. 25 x 2...Ch. 10.4 - In Problems 67-74, analyze each equation. x 2 +36...Ch. 10.4 - In Problems 67-74, analyze each equation. x 2...Ch. 10.4 - In Problems 67-74, analyze each equation. 9 x 2 y...Ch. 10.4 - Fireworks Display Suppose that two people standing...Ch. 10.4 - Lightning Strikes Suppose that two people standing...Ch. 10.4 - Nuclear Power Plaut Some nuclear power plants...Ch. 10.4 - An Explosion Two recording devices are set 2400...Ch. 10.4 - Rutherford’s Experiment In May 1911, Ernest...Ch. 10.4 - Hyperbolic Mirrors Hyperbolas have interesting...Ch. 10.4 - The eccentricity e of a hyperbola is defined as...Ch. 10.4 - A hyperbola for which a=b is called an equilateral...Ch. 10.4 - Two hyperbolas that have the same set of...Ch. 10.4 - Prove that the hyperbola y 2 a 2 x 2 b 2 =1 has...Ch. 10.4 - Show that the graph of an equation of the form A x...Ch. 10.4 - Show that the graph of an equation of the form A x...Ch. 10.5 - The sum formula for the sine function is sin( A+B...Ch. 10.5 - Prob. 2AYUCh. 10.5 - Prob. 3AYUCh. 10.5 - Prob. 4AYUCh. 10.5 - Prob. 5AYUCh. 10.5 - Prob. 6AYUCh. 10.5 - Prob. 7AYUCh. 10.5 - Prob. 8AYUCh. 10.5 - Prob. 9AYUCh. 10.5 - Prob. 10AYUCh. 10.5 - Prob. 11AYUCh. 10.5 - Prob. 12AYUCh. 10.5 - Prob. 13AYUCh. 10.5 - Prob. 14AYUCh. 10.5 - Prob. 15AYUCh. 10.5 - Prob. 16AYUCh. 10.5 - Prob. 17AYUCh. 10.5 - Prob. 18AYUCh. 10.5 - Prob. 19AYUCh. 10.5 - Prob. 20AYUCh. 10.5 - Prob. 21AYUCh. 10.5 - Prob. 22AYUCh. 10.5 - Prob. 23AYUCh. 10.5 - Prob. 24AYUCh. 10.5 - Prob. 25AYUCh. 10.5 - Prob. 26AYUCh. 10.5 - Prob. 27AYUCh. 10.5 - Prob. 28AYUCh. 10.5 - Prob. 29AYUCh. 10.5 - Prob. 30AYUCh. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - Prob. 35AYUCh. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - In Problems 43-52, identify the graph of each...Ch. 10.5 - Prob. 53AYUCh. 10.5 - Prob. 54AYUCh. 10.5 - Prob. 55AYUCh. 10.5 - Prob. 56AYUCh. 10.5 - Use the rotation formulas ( 5 ) to show that...Ch. 10.5 - Show that the graph of the equation x 1/2 + y 1/2...Ch. 10.5 - Formulate a strategy for analyzing and graphing an...Ch. 10.5 - Explain how your strategy presented in Problem 59...Ch. 10.6 - Prob. 1AYUCh. 10.6 - Transform the equation r=6cos from polar...Ch. 10.6 - A _______ is the set of points P in a plane such...Ch. 10.6 - The eccentricity e of a parabola is ________, of...Ch. 10.6 - True or False If ( r, ) are polar coordinates, the...Ch. 10.6 - Prob. 6AYUCh. 10.6 - Prob. 7AYUCh. 10.6 - Prob. 8AYUCh. 10.6 - Prob. 9AYUCh. 10.6 - Prob. 10AYUCh. 10.6 - Prob. 11AYUCh. 10.6 - Prob. 12AYUCh. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - Prob. 23AYUCh. 10.6 - Prob. 24AYUCh. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - In Problems 25-36, convert each polar equation to...Ch. 10.6 - Prob. 37AYUCh. 10.6 - Prob. 38AYUCh. 10.6 - Prob. 39AYUCh. 10.6 - Prob. 40AYUCh. 10.6 - Prob. 41AYUCh. 10.6 - Prob. 42AYUCh. 10.6 - Prob. 43AYUCh. 10.6 - Prob. 44AYUCh. 10.6 - Derive equation (d) in Table 5: r= ep 1esinCh. 10.6 - Orbit of Mercury The planet Mercury travels around...Ch. 10.7 - The function f( x )=3sin( 4x ) has amplitude...Ch. 10.7 - Let x=f( t ) and y=g( t ) , where f and g are two...Ch. 10.7 - The parametric equations x=2sint , y=3cost define...Ch. 10.7 - Prob. 4AYUCh. 10.7 - True or False Parametric equations defining a...Ch. 10.7 - True or False Curves defined using parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - In Problems 7-26, graph the curve whose parametric...Ch. 10.7 - y=4x1Ch. 10.7 - y=8x+3Ch. 10.7 - y= x 2 +1Ch. 10.7 - y= x 3Ch. 10.7 - y= x 3Ch. 10.7 - y= x 4 +1Ch. 10.7 - x= y 3/2Ch. 10.7 - x= yCh. 10.7 - In Problems 35-38, find parametric equations that...Ch. 10.7 - In Problems 35-38, find parametric equations that...Ch. 10.7 - In Problems 35-38, find parametric equations that...Ch. 10.7 - In Problems 35-38, find parametric equations that...Ch. 10.7 - In Problems 39-42, find parametric equations for...Ch. 10.7 - In Problems 39-42, find parametric equations for...Ch. 10.7 - In Problems 39-42, find parametric equations for...Ch. 10.7 - In Problems 39-42, find parametric equations for...Ch. 10.7 - In Problems 43 and 44, the parametric equations of...Ch. 10.7 - In Problems 43 and 44, the parametric equations of...Ch. 10.7 - In Problems 45-48, use a graphing utility to graph...Ch. 10.7 - In Problems 45-48, use a graphing utility to graph...Ch. 10.7 - In Problems 45-48, use a graphing utility to graph...Ch. 10.7 - In Problems 45-48, use a graphing utility to graph...Ch. 10.7 - Projectile Motion Bob throws a ball straight up...Ch. 10.7 - Projectile Motion Alice throws a ball straight up...Ch. 10.7 - Catching a Train Bill’s train leaves at 8:06 AM...Ch. 10.7 - Catching a Bus Jodi’s bus leaves at 5:30 PM and...Ch. 10.7 - Projectile Motion Ichiro throws a baseball with an...Ch. 10.7 - Projectile Motion Mark Texeira hit a baseball with...Ch. 10.7 - Projectile Motion Suppose that Adam hits a golf...Ch. 10.7 - Projectile Motion Suppose that Karla hits a golf...Ch. 10.7 - Uniform Motion AToyota Camry (traveling east at 40...Ch. 10.7 - Uniform Motion A Cessna (heading south at 120 mph)...Ch. 10.7 - The Green Monster The left field wall at Fenway...Ch. 10.7 - Projectile Motion The position of a projectile...Ch. 10.7 - Show that the parametric equations for a line...Ch. 10.7 - Hypocycloid The hypocycloid is a curve defined by...Ch. 10.7 - In Problem 62, we graphed the hypocycloid. Now...Ch. 10 - In Problems 1-10, identify each equation. If it is...Ch. 10 - In Problems 1-10, identify each equation. If it is...Ch. 10 - In Problems 1-10, identify each equation. If it is...Ch. 10 - Prob. 4RECh. 10 - In Problems 1-10, identify each equation. If it is...Ch. 10 - In Problems 1-10, identify each equation. If it is...Ch. 10 - In Problems 1-10, identify each equation. If it is...Ch. 10 - In Problems 1-10, identify each equation. If it is...Ch. 10 - Prob. 9RECh. 10 - In Problems 1-10, identify each equation. If it is...Ch. 10 - In Problems 11-18, find an equation of the conic...Ch. 10 - In Problems 11-18, find an equation of the conic...Ch. 10 - In Problems 11-18, find an equation of the conic...Ch. 10 - In Problems 11-18, find an equation of the conic...Ch. 10 - In Problems 11-18, find an equation of the conic...Ch. 10 - In Problems 11-18, find an equation of the conic...Ch. 10 - In Problems 11-18, find an equation of the conic...Ch. 10 - In Problems 11-18, find an equation of the conic...Ch. 10 - In Problems 19-23, identify each conic without...Ch. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - In Problems 24-26, rotate the axes so that the new...Ch. 10 - In Problems 24-26, rotate the axes so that the new...Ch. 10 - In Problems 24-26, rotate the axes so that the new...Ch. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - In Problems 32-34, graph the curve whose...Ch. 10 - Prob. 33RECh. 10 - In Problems 32-34, graph the curve whose...Ch. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 13CTCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - Prob. 3CRCh. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Prob. 11CRCh. 10 - Prob. 12CR
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