Find an equation of the tangent plane to the surfacex² + 2y? + z² = 175at the point (5, -5, 10).10 (x – 5) – 20 (y + 5) – 20 (z – 10) = 0O 10 (x - 5)-20 (y + 5) + 10 (z – 10) = 010 (x - –5) 20 (y + 5) + 20 (z10)0.O 10 (x - 5) + 20 (y + 5) + 20 (z – 10) = 0O 5 (x 5)- 10 (y + 5) + 20 (z – 10)

Answered: Image /qna-images/answer/89736ff2-0258-46dc-b463-e4ea7f8ccb74.jpg

Answered: Find an equation of the tangent plane…

Math

Calculus

Find an equation of the tangent plane to the surface 2² + 2y? + z? = 175 at the point (5, -5, 10).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

See similar textbooks

Related questions

Q: Find the equation of the tangent plane to the surface y = 2x2 - z at the point %3D (0, -1,-2) y+2z =…

Q: Find the equation of tangent plane to this surface at the point where x :1 and y = -1.

A: Given surface is z=f(x,y)=sin(π (3x+2y)) +x2y2 Equation of tangent plane is given by,…

Q: Find an equation of the tangent plane to the surface z = x^3- y^2 + 12x + 2y at the point (1, 2, 5).

A: Given: z = x^3- y^2 + 12x + 2y (1, 2, 5)

Q: Find the equation of the tangent plane to the surface 2= 42 + 3y+7zy at the point (0,-1,3).

Q: Find the equation of the tangent plane to the surface 4xe^yz+xz^2−7x^3y= 5 at(1,0,1).

Q: Find the slope of the tangent line to the curve that is the intersection of the surface z = x2 - y2…

A: Calculate point of intersection and differentiate it to get the answer

Q: * Find the equation of the tangent plane to the surface 9a2²-12xy = 5x2+5 at the ivon Ni Smob point…

Q: Find an equation of the tangent plane to the surface defined by the equation zf(x, y) + 2³ = 3 at…

A: The given surface is:zf(x, y)+z3=3The point is (-1, 2, 3)

Q: Find an equation of the tangent plane to the surface S : za? – xy – yz = 18 at the point (0, –2, 3).…

A: We know that an equation of the tangent plane to the surface Fx, y, z at the point x0, y0, z0 is…

Q: Find the equation of the tangent plane to the surface defined by the function f(x, y) = x³…

Q: Find the equation of the tangent plane to the surface y = 2x2 - z2 at the point (0, –1, –1) %3D | |

Q: Determine the equation of the tangent plane to the surface z = cos(x + 2y) at the point (2,-1,0).

A: Tangent plane to f(x, y) at (x0, y0) is given by below:

Q: Find the equation for the tangent plane to the surface x- 5xyz+ y = - 7z at the point (- 1, -1, -…

Q: Find the equation of the tangent plane to the surface y = 2x2 – z2 at the point (0, –1, –1) y+ 4z =…

A: We have to find

Q: Find an equation of the tangent plane to the surface at the given point z= 5x - xy3+y2, (1,1,5)

Q: Find the equation of the tangent plane to the surface z = 4 号+ゾ + y² at the point (2, -3, 10)

Q: Find an equation of the plane tangent to the surface sin(xyz) = at the point (T, 1,-)

A: sinxyz=12 at the point π, 1, 16. Consider, sinxyz=12⇒xyz=sin-112⇒xyz=π6⇒z=π6xy Differentiating…

Q: Find the point(s) on the surface at which the tangent plane is horizontal. z = 9 - x2 - y? + 4y (х,…

Q: Find the slope of the tangent line to the curves cut from the surface z= 3x? +4y? -6 by planes…

A: The solution are next step

Q: Compute the equation of the plane tangent to the surface x^2+3 y^2+z^3 = 8 at the point (2,1,1).

Q: Find the equation of the tangent plane to the surface determined by x*y + z – 35 = 0 at x = 3, y =…

A: Given x4y4+z-35=0

Q: Find the equation for the tangent plane to the surface -3x+ 9y -7z = -26 at the point (1,-1, Lütfen…

Q: Find the equation of the tangent plane to the surface y = 2a2- z2 at the point (0,-1, 1)

A: Here is the solution

Q: Find an equation of the tangent plane to the surface at the given point. z = 5 - 2x - y, (3,-1, 1)

Q: Find an equation of the tangent plane to the given surface at the specified point. 3Vy Z = VY, (-1,…

Q: Find the equation of tangent plane to the surface x^2 + 2y^2 + 3z^2 = 21 which is parallel to the…

Q: find the slope of the tangent to the curve of intersection of the surface 3z=√36-9x²-4y² and the…

A: Consider the surface 3z=36-9x2-4y2and the plane x=1 at the point 1,-2,113.The objective is to find…

Q: Find an equation for the tangent plane to the surface x = u² – v², y = u + v, 2 = u² + 4v at (-},2).

A: We have r(u,v) = (u2-v2)i + (u+v)j + (u2+4v)k

Q: Find the equation of the tangent plane to the surface 4 =1 at the point 16 9 (1,-3,2) O a.…

Q: Find the slope of the tangent in the positive y-direction to the surface z = 3x + 2y − 5exy at (3,…

Q: Find the equation of the tangent plane and normal line to the surface at the given point. x2 z = 9…

Q: Find the equation of the tangent plane to the surface -2² at the point y = 2x2 – (0, –1,2)

Q: Find the equation of the tangent plane to the surface 2x^2 -xz + y^2 -zy = -5 at the point (1, 3, 4)

A: First we find out partial derivative at given point and then find the equation of the tangent plane…

Q: Find the equation of the tangent plane to the given surface at the point (0,-1,2). y = 2x2 – z2 O y…

Q: Find an equation of the tangent plane to the surface at the given point. x² + y² 7z² = 138, (-8, -9,…

Q: Find an equation of the tangent plane to the surface at the given point. 4x2 + 2y2 + 5z2 = 177, P =…

Q: Find an equation of the tangent plane to the given surface at the specified point. 3. z = 2x2 + y2…

A: Given that: z = 2x2 + y2 - 5y, (1, 2, -4)

Q: Find an equation for the tangent plane to the surface given by f(x,y)=÷(4x² – 2y²) at the point…

Q: Find the equation of the tangent plane to the surface z = 4.x*y? + 2y at point (1, -2, 12).

Q: Find an equation of the tangent plane to the surface at the given point. x² + y2 – 5z2 = 140, (-8,…

A: We will solve the problem

Q: Find the equation of the tangent plane to the surface z = ly² – lz² at the point (-2, 0, -4). 4x+0

A: Given z=y2-x2 We have to find equation of tangent line at the point(-2,0,4)

Q: Compute the equation of the tangent plane to the surface: y = 1 - x2 - 2z2 At the point (0, 1, 0)

Q: Find the equation of tangent plane to the surface x? + 2y? + 3z2 = 21 which is parallel to the plane…

A: equation of the tangent surface of F= x2+ 2y2+ 3z2= 21 which is also parallel to the plane…

Q: Find the equation of the tangent plane to the surface y = 2x - z at the point (0, -1,-2) y+2z = -5…

Q: Find the angle of inclination of the tangent plane to the surface 3x2 + 2y2 − z = 15, at the given…

A: We have given surface 3x2+2y2-z=15 at point (2, 2, 5) We have to find the angle of inclination…

Q: Find the equation of the tangent plane to the surface y = 2x² – z² at the point (0,-1, 1)

Q: Find an equation for the tangent plane and the normal line to the surface x? + 2y? – 3z² = 3, at the…

Q: Find the equation of the tangent plane to the surface y = 2x2 (0, –1, 2) z at the point O y+ 4z = 7…

Q: Find the equation of the tangent plane and the normal line to the surface z=-2x -8y at the point…

Question

Find an equation of the tangent plane to the surface
x² + 2y? + z² = 175
at the point (5, -5, 10).
10 (x – 5) – 20 (y + 5) – 20 (z – 10) = 0
O 10 (x - 5)-
20 (y + 5) + 10 (z – 10) = 0
10 (x - –
5) 20 (y + 5) + 20 (z
10)
0.
O 10 (x - 5) + 20 (y + 5) + 20 (z – 10) = 0
O 5 (x 5)- 10 (y + 5) + 20 (z – 10)

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 by step

Solved in 2 steps with 2 images

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, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find the equation of tangent plane to the surface x^2 + 2y^2 + 3z^2 = 21 which is parallel to the plane 2x + 4y + 6z = 3.
Find the points on the surface 5x^2+3y^2+3z^2=1 at which the tangent plane is parrallel to the plane 4x+y+4z=4.
A point moves along the curve of intersection of the paraboloid z=x^2+5y^2 and the plane x=3. At what rate is z changing with y when the point is at (3,-1,14)?
Find the points on the curve of intersection of the ellipsoid x²+4y²+4z²=4 and the plane x-4y-z=0 that are closest to the origin and find the minimum distance.
Find the parametrization of the curve defined by the intersection of the two surfacesy = x^2 − 3z^2 and x^2 + z^2 = 9, where x ≥ 0.
Find an equation of a generating curve given the equation of its surface of revolution. x2 + y2 − 2z = 0
Find equation of the tangent plane to the given surface at the specified point. 5x^2+3y^2+8z^2, (3,6,5)
find an equation for the plane that is tangent tothe given surface at the given point. z = 4x2 + y2, (1, 1, 5)
Find a point on the ellipsoid x2 + 4y2 + z2 = 9 where the tangent plane is perpendicular to the line with parametric equations x = 2 − 4t, y = 1 + 8t, and z = 3 − 2t
Find an equation of the tangent plane to the surface z=−1x2+3y2−3x+1y+1 at the point (2, 2, 5).
A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 4.90 s, it is at point (4.60 m, 5.00 m) with velocity (2.00 m/s)ĵ and acceleration in the positive x direction. At time t2 = 13.6 s, it has velocity (–2.00 m/s)î and acceleration in the positive y direction. What are the x and y coordinates of the center of the circular path? Assume at both times that the particle is on the same orbit.
Find the equation of the tangent plane to the given surface at the specified point 2x=y^2+z^2-9 at point (-2,2,1) a) x=-2-2t, y=4+2t, z=2+t b) x=-2-2t, y=2+4t, z=1+2t c) -x+2y+z-7=0 d) x+2y-z+7=0