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Let a differentiable function g and f(x,y) = g(x²y²), g(4) = 4, g'(4) = 1 be given. Then, find the value of f(0.9,2.1) by using linearization of the function f(x, y) at (x, y) = (1,2). E)6.3 A) 2.8 B)3.6 C)4.4 D)5.2

Let a differentiable function g and f(x,y) = g(x²y²), g(4) = 4, g'(4) = 1 be given. Then, find the value of f(0.9,2.1) by using linearization of the function f(x, y) at (x, y) = (1,2). E)6.3 A) 2.8 B)3.6 C)4.4 D)5.2

Calculus For The Life Sciences
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.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 1E: Assume x and y are functions of t. Evaluate dydtfor each of the following. y28x3=55; dxdt=4,x=2,y=3
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Let a differentiable function g and f(x,y) = g(x²y²), g(4) = 4, g'(4) = 1 be given. Then, find the value of f(0.9,2.1) by using linearization of the function f(x, y) at (x, y) = (1,2). A) 2.8 B)3.6 C)4.4 D)5.2 E)6.3
Transcribed Image Text:Let a differentiable function g and f(x,y) = g(x²y²), g(4) = 4, g'(4) = 1 be given. Then, find the value of f(0.9,2.1) by using linearization of the function f(x, y) at (x, y) = (1,2). A) 2.8 B)3.6 C)4.4 D)5.2 E)6.3
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