Question

find equations for the
(a) tangent plane and
(b) normal line at the point P0 on the given surface. x2 + y2 - z2 = 18, P0(3, 5, -4)

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN: 9781337278461
Author: Ron Larson
Publisher: Cengage Learning
Not helpful? See similar books
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Topics In Analytic Geometry. 4ECP
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. 2z…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface z = √(9 − x2 − y2), at the given point (1, 2,…

A: The surface given is Fx,y,z=√(9 -x2 -y2) -z =0. The derivative of the surface coordinates with…

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(4,0,4) on the…

A: The above problem is solved.

Q: Find an equation of the tangent plane to the surface x2 + y2 + z2 = 9 at the given point (1, 2, 2)…

A: Given equation: x2+y2+z2=9 Consider the given equation, fx,y,z=x2+y2+z2-9=0

Q: b) Find equations for the tangent plane and normal line at the point P-(2, –3,18) on the surface…

A: x2+y-2xy-x+3y-z=-7   Let fx,y,z=x2+y-2xy-x+3y-z+7 and the point is 2,-3,18 Now,…

Q: Find an equation of the tangent plane to the surface xyz = 10, at the given point (1, 2, 5), and…

A: Click to see the answer

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. x2…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface z = 16 − x2 − y2 at the given point (2, 2, 8)…

A: To Determine: Find an equation of the tangent plane to the surface z = 16 − x2 − y2 at the given…

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface.3.…

A: To find equations for the(a) tangent plane and(b) normal line at the point P on the given surface.…

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

A: Click to see the answer

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. x2…

A: GivenSurface F(x,y,z)=x2+y2+z2-3=0Point of…

Q: Find for the equations for tangent plane and normal line at P,on the given surface 2 х2 — 3ху —у? -2…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface y ln xz2 = 2, at the given point (e, 2, 1) and…

A: Given: ylnxz2=2 at the given point e,2,1

Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 7z2 = 27,   (−3,…

A: Differential equations are those equations of mathematics that involve dependent variables ,…

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. cos…

A: Given,

Q: Find an equation of the tangent plane and a normal line to the surface z = In Vx2 + y2 at the point…

A: Given that: z=lnx2+y2

Q: Find the equation for the tangent plane and the normal line at the point Po(2,3,1) on the surface 3x…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface at the given point. z = 8 – (3, –4, 4)

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface f(x, y) = x2y at the given point (2, 1, 4) and…

A: Click to see the answer

Q: Find the equation for the tangent plane and the normal line at the point Po(3,2,3) on the surface 2x…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface at the given point. xy2 + 3x – z2 = 56, (5, -3,…

A: Given:   xy2 + 3x - z2 = 56  Point ( 5 , -3, 2 )

Q: Find an equation of the tangent plane to the surface at the given point. 2 x2 + 2z?ey - x = 33, P =…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface at the given point. 2 x2 + 2z?ey - x = 33, P =…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface at the given point. 5x2 + 2y2 + 5z2 = 73,    P…

A: Click to see the answer

Q: Find the equations of the tangent and the normal at the point indicated. x2 + y2 - 6x + 2y = 0 at…

A: Click to see the answer

Q: 4. Find an equation of the tangent plane to the surface z=- xy+8 at the point (1,1,-10) ху — 2х

A: Equation of tangent plane is: {df(x0,y0)/dx} (x-x0)+{df(x0,y0)/dy} (y-y0)-(z-z0)=0

Q: Find the equation for the tangent plane and the normal line at the point Po(3,3,1) on the surface x…

A: To find an equation for the tangent plane and the normal line at the point (3,3,1).

Q: Find equations of (a) the tangent plane and (b) the normal line to the surface 2(x−2)^2 + (y−1)^2 +…

A: Given surface is Firstly, we find all first order partial derivatives At point (3,3,5)

Q: Find an equation of the tangent plane to the given surface at the specified point. z3 бх2 + у2 - 7у,…

A: Solved below...

Q: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given surface 1)…

A: Click to see the answer

Q: Find an Equation for the tangent plane and normal line at the points Po on the given surface. x +…

A: Click to see the answer

Q: Find an Equation for the tangent plane and normal line at the points Po on the given surface. x + y…

A: Click to see the answer

Q: 6. Find an equation of the tangent plane to the surface z = y² – x² at the point (-4, 5, 9).

A: Recall: Equation of the tangent plane to the surface z=f(x,y)  at (x0,y0,z0) is        fxx-x0 +…

Q: Find equations of the following. y = x2 − z2,    (6, 11, 5) find the tangent plane and normal line.

A: According to the given information: Consider the given equation at the given point:

Q: Find an equation of the tangent plane and symmetric equations of the normal line to the surface zx2…

A: Given the equation of the surface can be rearranged in the form F(x,y,z)=0 zx2-xy2-yz2-18=0 Here,…

Q: Find for the equations for tangent plane and normal line at P,on the given surface 2 х2 — Зху — у?…

A: Click to see the answer

Q: 4. Find an equation of the tangent plane to the surface z = xy+8 at the point (1,1,-10) xy-2x

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface at the given point.   z= y/1+6x…

A: Click to see the answer

Q: Q20:- Find the equation of the tangent plane and the normal line to the surface x2 + 4y2 + z2 - 2xy…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = 2, (1, 4, 4) 10 z…

A: f(x,y)=y/x

Q: Find equations of (a) the tangent plane and (b) the normal line to the given surface at the…

A: Click to see the answer

Q: I Find the equations of tangent and normal lines of the curves at given points: a. x3 + y2 – 3xy = 0…

A: Click to see the answer

Q: 3. Find the equation of the tangent plane to the surface in R³ defined by z = 2x² + y² at the point…

A: Click to see the answer

Q: Find equations of the normal plane and osculating plane of the curve at the given point. x = sin 2t,…

A: Click to see the answer

Q: Find the equation of tangent plane and normal lines of the surface: f(x, y, z) = 5x² + 4 y2 +z³-9 at…

A: Here we have to find the equation of the tangent plane and normal lines of the surface:…

Q: Find the equation of tangent plane and normal lines of the surface: ( x, y, z) = 5x^2 +  4y^2 + z^3…

A: We have to find the equation of tangent plane and normal lines of the surface: f(x,y,z)=5x2+…

Q: Find equations for the tangent and normal to the cissoid of Diocles y2(2 - x) = x3 at (1, 1).

A: Find dy/dx using the given equation.

Q: Q1) Find equations of the Normal plane and Osculating plane of the curve y = 2t, x = 2 sin 3t , at…

A: Click to see the answer

Q: Find an equation of the tangent plane to the surface z = y? - x² at the point (-4,5,9).

A: Finding partial derivatives with respect to x and y for finding plane equation.

Q: Given the curve y² = 5x – 1 at point ( 1,-2 ) , find the equation of tangent and normal to the…

A: Click to see the answer

Knowledge Booster
Calculus
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.
Recommended textbooks for you
  • Trigonometry (MindTap Course List)
    Trigonometry
    ISBN:9781337278461
    Author:Ron Larson
    Publisher:Cengage Learning
    Linear Algebra: A Modern Introduction
    Algebra
    ISBN:9781285463247
    Author:David Poole
    Publisher:Cengage Learning
    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
    Linear Algebra: A Modern Introduction
    Algebra
    ISBN:9781285463247
    Author:David Poole
    Publisher:Cengage Learning
    Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,