Question

prove that the equation of the plane tangent to the sphere x^2 + y^2 + z^2...

prove that the equation of the plane tangent to the sphere x^2 + y^2 + z^2 = a^2 at the point (x0, y0, z0) on the sphere is x*x0 + y*y0 + z*z0 = a^2

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the surfaces x^2 + y^2 + z^2 = 1 and (z +√2)^2 = x^2 +...
Consider the surfaces x^2 + y^2 + z^2 = 1 and (z +√2)^2 = x^2 + y^2, and let (x0, y0, z0) be a point in their intersection. Show that the surfaces are tangent at this point, that is, show that they have a common tangent plane at (x0, y0, z0).
4. Consider the function z = f(x, y) = x^(2) + 4y^(2) (a) Describe the contour...
4. Consider the function z = f(x, y) = x^(2) + 4y^(2) (a) Describe the contour corresponding to z = 1. (b) Write down the equation of the curve obtained as the intersection of the graph of z and the plane x = 1. (c) Write down the equation of the curve obtained as the intersection of the graph of z and the plane y = 1. (d) Write down the point of intersection of the curves in (b) and...
Topic: Calculus 3 / Differential Equation Q1) Let (x0, y0, z0) be a point on the...
Topic: Calculus 3 / Differential Equation Q1) Let (x0, y0, z0) be a point on the curve C described by the following equations F1(x,y,z)=c1 , F2(x,y,z)=c2 . Show that the vector [grad F1(x0, y0, z0)] X [grad F2(x0, y0, z0)] is tangent to C at (x0, y0, z0) Q2) (I've posted this question before but nobody answered, so please do) Find a vector tangent to the space circle x2 + y2 + z2 = 1 , x + y +...
Find the equation of the tangent plane (in terms of x, y and z) to the...
Find the equation of the tangent plane (in terms of x, y and z) to the surface given by x = u, y = v and z = uv at the point (3, 2, 6).
Find an equation of the tangent plane to the surface x y 2 + 3 x...
Find an equation of the tangent plane to the surface x y 2 + 3 x − z 2 = 4 at the point ( 2 , 1 , − 2 ) An equation of the tangent plane is
Find an equation of the tangent plane to z=32-3(x^2)-4(y^2) at the point (2,1,16)
Find an equation of the tangent plane to z=32-3(x^2)-4(y^2) at the point (2,1,16)
Find the equation for the tangent plane to the surface z=(xy)/(y+x) at the point P(1,1,1/2).
Find the equation for the tangent plane to the surface z=(xy)/(y+x) at the point P(1,1,1/2).
say that point (x, y, z) is the plane tangent to the paraboloid z = x...
say that point (x, y, z) is the plane tangent to the paraboloid z = x ^ 2 + 3y ^ 2 parallel to the plane z = x + y
8). a) Find an equation of the tangent plane to the surface z = x at...
8). a) Find an equation of the tangent plane to the surface z = x at (−4, 2, −1). b) Explain why f(x, y) = x2ey is differentiable at (1, 0). Then find the linearization L(x, y) of the function at that point.
Write an equation of a sphere with center (0,8,0), and with the sphere tangent to the...
Write an equation of a sphere with center (0,8,0), and with the sphere tangent to the plane with equation x=y. Write an equation for a sphere centered at the point (-6,5,-7) with radius 3.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT