Question

7. The equation of a surface is f(x,y) = 4xy + x? – y+9. Which is an equation of the plane that is tangent to the surface at
0 0
Add a comment Improve this question Transcribed image text
Answer #1

#c42 - 41+=+ (ч, 2, 44) If(2)) = ing ty> 4 91 , v-+ (49) = 484 8, 16 - 127 2 16, 17 Tanget plane 2. Есч, 2) 4 -сч,2) (1-4) +

Add a comment
Know the answer?
Add Answer to:
7. The equation of a surface is f(x,y) = 4xy + x? – y+9. Which is...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The equation of a surface is f(x, y) = 4xy + x2 - y2 +9. Which...

    The equation of a surface is f(x, y) = 4xy + x2 - y2 +9. Which is an equation of the plane that is tangent to the surface at the point(4,2,49)? 34x –19y –20 b) z =-18x-12y +20 c) z = 5x-3y +27 d)z=16x+4y-23 e) z =-12x-18y+20

  • 7. (20 pts) Consider the surface given by z wy - 4xy + 3x - 2y....

    7. (20 pts) Consider the surface given by z wy - 4xy + 3x - 2y. (a) Find the equation of the tangent plane to this surface at the point where (x,y) - (1,3). (b) Find the gradient f at the point where (x,y) = (1,3). (c) Find the directional derivative DaS(1,3) where it is the unit vector in the direction of (1, -2). such that the directional derivative Daf(1.3) is a maximum (d) Find a unit vector in the...

  • Find an equation of the tangent plane to the surface f (x, y) = x tan...

    Find an equation of the tangent plane to the surface f (x, y) = x tan y at the point (2, /4, 2). a. x - 4y - z = b. None of these c. x + 4y - z = - d. -x + 4y - z = e. - x + 4y - z = /4 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...

  • 11. Point P(4,2,3) is on one of the level surfaces of g(x, y, z) = e*+4xy”....

    11. Point P(4,2,3) is on one of the level surfaces of g(x, y, z) = e*+4xy”. Write an equation of the plane tangent to this surface at point P. a)5(x-4) - 7(y-2) + 6(2-3) = 0 b)-8(x-4)+12(y-2) - 5(2-3) = 0 c)9(x-4) + 4(y-2) - 5(2-3) - 0 d)16(x-4) + 64(y-2)+(2-3) -0 e) none of these

  • (1 point) Find the equation of the tangent plane to the surface z = y In(x)...

    (1 point) Find the equation of the tangent plane to the surface z = y In(x) at the point (1. -9,0). Z- Note: Your answer should be an expression of x and y, e.g. 3x - 4y + 6.

  • Check that the point (1,-1,2) lies on the given surface. Then, viewing the surface as a level surface for a function f(...

    Check that the point (1,-1,2) 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,-1,2). 2x^2-3y^2+z^2=3. Vector normal? and tangent plane?

  • At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) =...

    At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) = e 3t sin(x + 2t). (a) At any point (x, t), the differential is df = e^(-3t)cos(x+2t)dx+(e^(-3t))(2cos(x+2t)-2sin(x+2t))dt (b) At the point (-1,0), the differential is df = cos(-1)dx+(2cos(-1))+3sin(-1)dt (c) At the point (-1,0) with dx = -0.5 and dt = 0.3, the differential is df = 0.97344 Note. You can earn partial credit on this nrohlem (1 point) Consider the surface xyz = 20....

  • f(1,y) = x² + 4xy + y2 – 2.c + 2y +1. f(x,y) has a horizontal...

    f(1,y) = x² + 4xy + y2 – 2.c + 2y +1. f(x,y) has a horizontal tangent 1. Find all points (a,b,c) where the graph z = plane (parallel to the xy-plane). 0 has a horizontal 2. Find all points (a,b) where the level curve f(x,y) tangent line (parallel to the z-axis).

  • 5 and 6 please 5) Given the surface f(x, y, z) = 0 or z =...

    5 and 6 please 5) Given the surface f(x, y, z) = 0 or z = f(x,y), find the tangent plane at P. a) z2 – 2x2 – 2y2 = 12 @ P=(1,-1,4) b) f(x,y) = 2x - 3xy3 @ 12,-1) c) f(x,y) = sin(x) @ (3,5) 6) Find an equation of the tangent plane and the equation of the normal line to surface f(x..zb=0 @P x2 + y2 + z2 = 9 P = (2,2,1)

  • 5. [12 Marks) Consider the level surface of the function f(x, y, z) defined by f(x,...

    5. [12 Marks) Consider the level surface of the function f(x, y, z) defined by f(x, y, z) = x2 + y2 + x2 = 2a?, (1) where a is a fixed real positive constant, and the point u = (0,a,a) on the surface f(x, y, z) = 2a. a) Find the gradient of f(x, y, z) at the point u. b) Calculate the normal derivative of f(x, y, 2) at u. c) Find the equation of the tangent plane...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT