change the straight line function of Cartesian coordinates r = 2sinθ - 4cosθ to plain coordinates

Q: Find the equation of the tangent line in the given plane

A: Equation of tangent plane:  If F is a differentiable at x0, y0, z0, then we can determine an…

Q: CALCULUS I - A port and a radar station are 5 mi apart on a straight shore running east and west. A…

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Q: Solve for x. Assume that lines which appear tangent are tangent. (Hint: Pythagorean theorem) 8.5

A: We know, Radius is perpendicular to the tangent at point of contact. So given triangle is a right…

Q: Find the value of the other five function of an acute angle, given the value of one of its…

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Q: Use the model for projectile motion, assuming there is no air resistance. Determine the maximum…

A: Please refer the attached image for complete solution.

Q: A projectile is projected from a level ground making an angle e with the horizontal (x direction).…

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Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 3 + 3x. y…

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Q: f (x) = sec(x), x = 4

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Q: Use a graph to estimate the y-coordinate of the highest points on the curve r = sin(20). Then use…

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Q: Find the linear speed of a point moving with uniform circular motion, if the point covers a distance…

A: Given that distance= s= 18 ft  and time = t = 3 min

Q: y = f(x) cross-section y = g(x) base view

A: Solution...

Q: A) Find in terms of x and y dx B) Write the equation for the tangent line where x = 2 and y = 1.

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Q: Use calculus to determine the exact y-coordinate of the highest points on the curve r = sin(20).…

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Q: Use the graphing utility to plot the curve y = sin (x) and the horizontal lines y = 1 and y = -…

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Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the…

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Q: se the model for projectile motion, assuming there is no air resistance and g = 32 feet per second…

A: Given h= 5 feet θ=45°v∘=300 ftsec

Q: You send a message through a pneumatic tube that follows the curve 9y = x3 (distance in meters). At…

A: Given data :

Q: curve y= sqrt(x+2) and the lines y=0 and x=7

A: Given: The equation for the curve is y=x+2 The sketch of the graph is :

Q: O ☺ Find the equation to Curve y= 3x -JC +5 the tangent Cine of tine at the point (1,7) i) Find if…

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Q: Determine the general form of the equation of the line that is tangent to a unit circle at a point…

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Q: Find the equation of the tangent line to the graph of the given equation at the indicated point. Use…

A: Here we find the equation of tangent line at given point.

Q: Find the equation of the line nomal to the curve y = 3x"-5x at the point (1,-2). Sketch the curve…

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Q: Use implicit differentiation to find y' and then evaluate y' at the point (4,5). y-8x2 +3=0 y' = %3D…

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Q: Vrite the tangent line equation. (1) x'+y=4 P(JE. VE) 12)

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Q: Line IB and line IA are both tangent lines. IB = 2x - 5 and IA = x + 15. Find the value of x. x+15…

A: from a given point length of tangent is equal.so IA=IB.so x+15=2x-5,x=20

Q: y = x², y= x³

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Q: f(x) = x + √x calculate the tangent point at the point (16,20) y= _________ (x-16) + 20

A: Given:f(x)=x+x,    (16,20)

Q: 3. y =sin x, the x-axis, the y-axis and the vertical line x = -

A: Draw graph  according to the given problem. Then draw all the lines and shade the area to be find…

Q: maximum Rate af change f faxiy)にろメこかyー2メり at (11) and the direction in which it occurs?

A: The maximum rate of change of F at (1,1) = 17 The direction of maximum change of F = <4,1>.…

Q: The curve below has a horizontal tangent line at the point (1, 1) and at one other point. Find the…

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Q: Directions: Use the chain tule to comute the derivative y' and simplify your ansuer: 2. 1. %3D

A: Given, y=u2+u-2 ;             u=1x

Q: Consider the equation abaixo a) Calculate y′. b) Find the two points where the curve below crosses…

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Q: a) Find the slope and the equation of the tangent line to the curve y = x2 + 1 at x=0. Sketch the…

A: Given the equation of the curve y= x2+1            .......(1) We have to find the slope and equation…

Q: %3D ind an equation for the tangent line to f(r) = (5x2+3e*-2)(4-x) at r = 0. line egn.

A: Given query is to find the equation of tangent line at x = 0.

Q: Excercise 77 Find the equation of the tangent line y? = 1 at P(2, –3), 12 r2 (i) to the ellipse 16

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: c) With respect to y = cosx, the horizontal shift of the function is d) With respect to y = cosx,…

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Q: (c) Use differentiation rules to verify your answer in part (a)

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Q: Use the model for projectile motion, assuming there is no air resistance and g = 9.8 meters per…

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Q: Find the smallest positive value of x at which y = x and y = tan x intersect. Hint: Draw a plot

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Q: termine the equation of the curve whose tangent line at any point (x, y) i and passes A) y = e* +…

A: We are asked find the equation of the curve.

Q: (a) Find the slope of the tangent line to the curve y = 1/V at the point where x = a. (b,c) Find the…

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Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

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Q: A particle starts by moving to the right along a horizontal line; the graph of its position function…

A: (a) The particle is moving right in the time interval (0,1) and (4,6)   We can understand this by…

Q: equation for the tangent line t

A: Given: f(x)=x(x2+1)3 To find: Equation for the tangent line

Q: A lighthouse stands 375 m off a straight shore and the focused beam of its light revolves two times…

A: Let us make a diagram of the given conditions. According to question,

Q: Find an equation of the tangent line to the curve atthe given point. Illustrate by graphing the…

A: Given: The equation of the curve is  y=x-x We have to find the tangent line to the given curve at…

Q: A shot fired from a gun with a muzzle velocity of 1200 feet per second is to hit a target 3400 feet…

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Q: Analyze the given problem. Sketch the figure described in the given. 1. The line 2x-y+3=0 is…

A: The given problem is to find the tangent line to the curve y=2lnx and parallel to the line 2x-y+3=0.

Q: At the point C At the point A At the point B

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

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