Find the linear approximation of the function f(x,y)= e^(x^2 + 4xy - 2y^2) at (1,2) using the aproximate f(0.99,2.01)

-- Find the linear approximation of the function f(x,y)= e^(x^2 + 4xy - 2y^2) at (1,2) using the aproximate f(0.99,2.01)

-- find Zvu for z= f(x,y), x=uv , y= v^2 + u^2

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Expert Solution

milcah answered 2 years ago

For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema...

For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema or saddle points. Use the D test to classify. Give your answers in (x,y,z) form. Use factions, not decimals.

Consider the function f(x, y) = 4xy − 2x 4 − y 2 . (a) Find...

Consider the function f(x, y) = 4xy − 2x 4 − y 2 . (a) Find the critical points of f. (b) Use the second partials test to classify the critical points. (c) Show that f does not have a global minimum.

Find the solutions to (-1+x^2)y''+4xy'+2y=0 y_1=? y_2=?

1. Perform two iterations of the gradient search method on f(x,y)= x^2+4xy+2y^2+2x+2y. Use (0,0) as a...

1. Perform two iterations of the gradient search method on f(x,y)= x^2+4xy+2y^2+2x+2y. Use (0,0) as a starting point. Please find the optimal λ* by taking the derivative and setting it equal to 0.

y"-2y'+2y = x^2+e^2x

1. Which of the following is the linear approximation of the function f ( x )...

1. Which of the following is the linear approximation of the function f ( x ) = 2e^sin (7x) at x = 0? Group of answer choices y=cos⁡(7)x+2 y=7x+2 y=14x+2 y=2x+7 y=e^7x+14 2. Recall that Rolle's Theorem begins, ``If f ( x ) is continuous on an interval [ a , b ] and differentiable on (a , b) and ___________, then there exists a number c …'' Find all values x = c that satisfy the conclusion of Rolle's...

Find the average value of f(x, y) = e −(x 2+y 2 ) on x 2...

Find the average value of f(x, y) = e −(x 2+y 2 ) on x 2 + y 2 ≤ π

The Vector Field f(x, y) = (2x + 2y^2)i + (4xy - 6y^2)j has exactly one...

The Vector Field f(x, y) = (2x + 2y^2)i + (4xy - 6y^2)j has exactly one potential function f (x, y) that satisfies f(0, 0). Find this potential function , then find the value of this potential function at the point (1, 1).

Let f(x, y) = xy3 − x 2 + 2y − 1. (a) Find the gradient...

Let f(x, y) = xy3 − x 2 + 2y − 1. (a) Find the gradient vector of f(x, y) at the point (2, 1). (b) Find the directional derivative of f(x, y) at the point (2, 1) in the direction of ~u = 1 √ 10 (3i + j). (c) Find the directional derivative of f(x, y) at point (2, 1) in the direction of ~v = 3i + 2j.

Find absolute maximum and minimum values of the function f(x,y)=x^2+2y^2 on the curve ((x^2)/81)+((y^2)/100)=1 where x>=0,...

Find absolute maximum and minimum values of the function f(x,y)=x^2+2y^2 on the curve ((x^2)/81)+((y^2)/100)=1 where x>=0, y>=0

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