#8, Given f(xy)=3x4-2x³y. (a) Find the rate of change of f in the direction of vector u=(-1,47, it the point Po (-1,-2). (b) Find the linearization L(x,y) near Po and use it to estimate f (-0.96,-2.03) (c) Find an upper bound for the error incurred in replacing by L on the rectangular region -1.04≤x≤-0.96 R: -2.03≤ y ≤ -1.97 FL,
#8, Given f(xy)=3x4-2x³y. (a) Find the rate of change of f in the direction of vector u=(-1,47, it the point Po (-1,-2). (b) Find the linearization L(x,y) near Po and use it to estimate f (-0.96,-2.03) (c) Find an upper bound for the error incurred in replacing by L on the rectangular region -1.04≤x≤-0.96 R: -2.03≤ y ≤ -1.97 FL,
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.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 44E: Where is the function defined by f(x)=ex increasing? Decreasing? Where is the tangent line...
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![#8, Given f(xy)=3x4-2x³y. (a) Find the rate
of change of f in the direction of vector u=(-1,47,
it the point Po (-1,-2). (b) Find the linearization
L(x,y) near Po and use it to estimate f (-0.96,-2.03)
(c) Find an upper bound for the error incurred
in replacing by L on the rectangular region
-1.04≤x≤-0.96
R:
-2.03≤ y ≤ -1.97
FL,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac50b8d8-ed5e-4222-adea-45a3db4f7b39%2Fdb340ece-b55d-40bf-bad4-96650b288065%2F8o2o927_processed.jpeg&w=3840&q=75)
Transcribed Image Text:#8, Given f(xy)=3x4-2x³y. (a) Find the rate
of change of f in the direction of vector u=(-1,47,
it the point Po (-1,-2). (b) Find the linearization
L(x,y) near Po and use it to estimate f (-0.96,-2.03)
(c) Find an upper bound for the error incurred
in replacing by L on the rectangular region
-1.04≤x≤-0.96
R:
-2.03≤ y ≤ -1.97
FL,
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