段階的に解決し、人工知能を使用せず、優れた仕事を行いますご支援ありがとうございましたSOLVE STEP BY STEP IN DIGITAL FORMATDONT USE CHATGPTFor Exercises 7-10, find the equation of the tangent plane to the given surface at the pointP.9. x² + y²-2²=0, P=(3,4,5)10. x² + y² = 4, P =(√3,1,0)

According to the policy of Bartleby, I will solve problem 9.We will use point normal form to find…

Answered: For Exercises 7-10, find the equation…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.9: Polar Equations Of Conics

Problem 1E

See similar textbooks

Similar questions

Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
Find an equation of the tangent plane to the following parametric surface,r(u, v) = (u2 + 6) i + (v3 + 8u) j + (u + 3v) k ,at the point (7, 7, −2).Write the equation in the form ax + by + cz + d = 0, where a, b, c, and d have no common factors. Then enter the values of a, b, c, and d (in that order) into the answer box below, separated with commas.
Write an equation in general form of the tangent plane to the parametric surface at the stated point.x = uv^2, y = u^2v, z = u + v ; P(2, 4, 3)
Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface.r(u,v)=⟨4u,4u^2+5v,−3v^2⟩ at the point (4,-6,−12).
Write an equation of the tangent plane to the parametric surface: r(u, v) = (u + v)i + 3u^2j + (u − v)k at the point (2,3,0)
Write the parametric equation of the bilinear surface corresponding to four points P(0 0)= 0.25 0 P(1 0)- 0.75 0 P(0.1)- 0.75 0.9 PEL.A F 0.25.0.8 .Also calculate the tangent and normal vectors at the mid-point of the surface.
In Exercises 11–12, find an equation for the plane that is tangent to the given surface at the given point. 11. z = ln (x2 + y2 ), (1, 0, 0) 12. z = e^-(x2+y2), (0, 0, 1)
Describe and sketch the surface y2 + z2 = 16
Check that the point (−1,−1,1) lies on the given surface. Then, viewing the surface as a level surface for a function f(x,y,z), find a vector normal to the surface and an equation for the tangent plane to the surface at (−1,−1,1). 4x^2−3y^2+2z^2=3
Describe and sketch the surface y2 + z = 6
Sketch the surfaces CYLINDERS z = y2 - 1

Recommended textbooks for you

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

For Exercises 7-10, find the equation of the tangent plane to the given surface at the point P. 9. x² + y²-2²=0, P=(3,4,5)