Answered: The parametric equations for the line…

The parametric equations for the line tangent to curve of intersection of the surfaces x? + y? = 8, x + y? -z 0 at the point (2,2,8) is X-. . y-. ., and z is known.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

See similar textbooks

Related questions

Q: Find parametric equations for the line passing through the points (10,3,1) and (8,6,-2) using the…

Q: What is the parametric equation of line through the point (1,2, -1) and perpendicular to the plane…

Q: Sketch the plane curve represented by the given parametric equations x = 4 cos t + 2, y = 4cos t -…

A: We first make a table for the function t 0 π/2 π 3π/2 2π x 6 2 -2 2 6 y 3 -1 -5 -1 3

Q: Find a set of parametric equations for the line passing through the point (2, 0, 9) that is…

A: a set of parametric equations for the line passing through the point (2, 0, 9) that is parallel to…

Q: find a parametric equation for the line that is per-pendicular to the graph of the given equation at…

A: 41. Here the given as Now we let

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at the…

Q: Find the parametric equation of the line that passes through point P(2,3,4) and is perpendicular to…

A: To Determine: Find the parametric equation of the line that passes through point P(2,3,4) and is…

Q: Find an equation for the tangent plane and find the parametric equations for the normal line to the…

A: I am attaching image so that you understand each and every step.

Q: find parametric equations for the line tangent tothe curve of intersection of the surfaces at the…

Q: Write parametric equations for the tangent line to the curve of intersection of the surfaces x +y +z…

A: We know that the parametric equation of a tangent line to the curve of intersection of the two…

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: To find a parametric equation of the line tangent to the curve of intersection of the surfaces at…

Q: Find parametric equations for the tangent line at (1, 3, 3) to the curve of intersection of the…

A: First, find the function of the surface in three variables, f(x,y,z). f(x,y,z)=x2y-z Find the…

Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel…

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A: Given that z=x2+y2 and 3x−5y+7z=24 and point is 3,4,5. Let fx,y,z=x2+y2−z and gx,y,z=3x−5y+7z−24 We…

Q: Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to the line…

Q: Find a parametric equation for the curve of intersection of the cone x²+y² = z² and the plane x+2z =…

A: We have to find a parametric equation for the curve of intersection of the cone x2+y2=z2 and the…

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

Q: Find parametric equations of the normal line to the surface z = + y? at the point (2, -2,5) x = 2 -…

A: Let F(x,y,z) define a surface that is differentiable at (x0,y0,z0) then the normal line to F(x,y,z)…

Q: equations

Q: Find a parametric equation for the line tangent to the curve of the intersection of the surfaces at…

Q: Write parametric equations for the tangent line to the curve of intersection of the surfaces x +y +z…

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Here we have to find the equation of the tangent line.

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A: The given equation of circle at (a,0) is The general parametric equation of circle is where x,y…

Q: find parametric equations for the lines with the given description. Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: Find parametric equations of the line containing the .point (2, 3,-1) and normal to the plane x+…

Q: The two surfaces x2 + y2 + z2 = 6 and 2x² + 3y2 + z2 = 9 intersect at the point(1,1,2). Find the…

A: Given: The two surfaces x 2 + y 2 + z 2 = 6 and 2 x 2 + 3 y 2 + z 2 = 9. The given two surfaces…

Q: Find parametric equations for the line through (3, – 7,6) parallel to the x-axis. Let z = 6. X= , y…

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve). x…

Q: Find parametric equations for the line pass- ng through the point P(1, –1, 3) and perpen- licular to…

A: Given that: Line is passing through P(1,-1,3) and perpendicular to the plane: 4x+3y-2z=6.

Q: Find parametric equations for the line through the point (0, 2, 2) that is perpendicular to the…

Q: Find the parametric equations of normal line to the surface given by f(x, y) = tan v x2 +y2 at the…

Q: Find the length of the curve having a parametric equation of x= 2cos³0 and y=2sin²0 from 0-0 to…

Q: Find a set of parametric equations for the line passing through the point (7, 0, 2) that is parallel…

A: We are asked to find the equation of the line.

Q: 2. Use parametric equations to derive the formula for the lateral surface area of a right circular…

Q: Find set of parametric equations for the tangent line to the curve of intersection of the surfaces…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

Q: Find parametric equations for the line tangent to the curves of intersection of the surfaces xyz=1…

Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: 5. Find parametric equations for the line of intersection of the planes x + y = 1 and y +z = 1.

Q: find parametric equations for the line tangent tothe curve of intersection of the surfaces at the…

A: Given surfaces, x2+2y+2z=4 and y=1f(x,y,z)=x2+2y+2z-4 and f(x,y,z)=y-1 And point…

Q: 2. Find an equation of the tangent plane to the parametric surface F(u, v) = (, 2uv, uv?) at the…

A: (2) Consider the provided question,

Q: Find a set of parametric equations for the line passing through the point (1, 0, 2) that is…

Q: Find the distance between the point (4, −1, 5) and the line given by the set of parametric equations…

A: The point is: P(4, −1, 5) The line is: x = 3, y = 1 + 3t, z = 1 + t The line is: <3, 1, 1> +…

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Q: Find the parametric equations of the line that is perpendicular to the plane 2x +y +3z = 4 and goes…

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A: The tangent to the curve of the intersection of the surfaces at the point is defined as a normal…

Question

The parametric equations for the line tangent to curve of intersection of the
surfaces x? + y? = 8,x + y? -z = 0 at the point (2,2,8) is
X-. ., y
and z is known.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

What are the tangent and normal line equations of the parametric curve in the figure at the point t = 0?
The graph of the curve described by the parametric equations x = 3t – 4, y = 6t + 2 is a straight line with slope اختر احدي الدجابات
Find a parametric equation for the line that is perpendicular to the graph of the equation 4x^2 + 2y^2 +3z^2 = 39 at the points (1,2,3). Use t as the variable
Find parametric equations for the line through the point Po(5,4,-7) that is parallel to the line given by X= -t , y=-3 , and z= 4+2t.
find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should not be x=t. define your interval for the parameter t.
Find a parametric equation for the line that is perpendicular to the graph of the equation 2x² + 3y² + 3z² = 47 at the point (2,3,2).
Give a parametric representation for the straight line segment from the point (1,-1,2) to the point (0,3,4). Remember to include a parameter interval.
Consider the curve defined by the parametric equations X = cos t, y = 3sec t on the interval 0sts"/2, Eliminate the parameter, t, to find a Cartesian equation for this curve. Use the equation editor to enter your answer in correct mathematical form.
Sketch the curve defined by the parametric equations over the given interval. Include the orientation in your graph. X=t^2 - 2t and y= t - 2 -2
Find equations of all tangents to the parametric curve that pass through the point (4, 3). In entering your answer, list the equations starting with the smallest slope. If two or more tangent lines share the same slope, list those lines starting with the smallest y-intercept. If an answer field is not used, type an upper-case "N" in that blank. Tangent line 1: y = Tangent line 2: y = x = 3t² + 1, y = 2t³ + 1 Tangent line 3: y =
Consider an astroid with parametric equations x=4cos3(t),y=4sin3(t) (a) Find the slope of the tangent line to the astroid in terms of t. Slope = (b) List all of the points (x,y) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of x. If two or more points share the same value of xx, list those points starting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them. Point 1: (x,y)= ( , ) Point 2: (x,y))= ( , ) Point 3: (x,y)= ( , ) (c) List all of the points (x,y) where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of xx. If two or more points share the same value of xx, list those points starting with the smallest value of yy. If any blanks are unused, type an upper-case "N" in them. Point 1: (x,y))= ( , ) Point 2: (x,y)= ( , ) Point 3: (x,y)= ( , ) (d) List all of the points (x,y)(x,y) where the slope of the tangent line is…
Find the parametric equation to describe the following curve: b) the part of x = 2y^2 - 1 from (-1,0) to (7,2)