X -3 = 5x² + xy² + y³, a = น y (5 points) Suppose f Compute the gradient of f at a. Vf(a) = Compute the directional derivative of f at a in the direction v. For what value c does a lie on the level curve f C= ( 3 ) X = c? " and v = 2 [ For that value of c, give an equation of the the tangent line to the level curve T f ม =). = c at the point a. Note that you must actually provide an equation (with an

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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X
-3
=
5x² + xy² + y³, a =
น
y
(5 points) Suppose f
Compute the gradient of f at a.
Vf(a) =
Compute the directional derivative of f at a in the direction v.
For what value c does a lie on the level curve f
C=
( 3 )
X
= c?
"
and v =
2
[
For that value of c, give an equation of the the tangent line to the level curve
T
f
ม
=).
= c at the point a. Note that you must actually provide an equation (with an
Transcribed Image Text:X -3 = 5x² + xy² + y³, a = น y (5 points) Suppose f Compute the gradient of f at a. Vf(a) = Compute the directional derivative of f at a in the direction v. For what value c does a lie on the level curve f C= ( 3 ) X = c? " and v = 2 [ For that value of c, give an equation of the the tangent line to the level curve T f ม =). = c at the point a. Note that you must actually provide an equation (with an
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