Question: 1. Find the linear approximation of f(r, y) = y+sin () at (0,3). 2. Use Lagrange multipliers to find the maximum and minimum values

1. Find the linear approximation of f(r, y) = y+sin () at

1. Find the linear approximation of f(r, y) = y+sin () at (0,3). 2. Use Lagrange multipliers to find the maximum and minimum values of f(r, y, z) y=1 and y2 + 22 = 1. = yz + ry subject to [5,15] QUESTION 4 1. Evaluate the iterated integral. [Hint: Change the order of integration.] 1 I cos(y*)dydz. 2. Find the average value of f(x, y) = xy over the quarter circle a2 + y?

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