Question: 6 q a. Find the linear approximation for the following function at the given point. b. Use part (a) to estimate the given function value.

6 q a. Find the linear approximation for the following function

6 q

a. Find the linear approximation for the following function at the given point. b. Use part (a) to estimate the given function value. f(x,y) = Vx2 + y? ; (-4,3); estimate f( - 4.09, 2.99) a. L(x,y) = b. L( - 4.09,2.99) = (Type an integer or decimal rounded to three decimal places as needed.) a scalar multiple)? The level curves of the surface z= x2 + y are circles in the xy-plane centered at the origin. Without computing the gradient, what is the direction of the gradient at ( - 2,4) Determine the direction of the gradient at ( - 2,4). Choose the correct answer below. O A. (-2.4) O B. (4,2) O C. (4, -2) O D. (-4,-2) O E. (2,4) OF.

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