**Problem 1**. Read sections 10.3 and 10.4

**Problem 2**. Find the equation of the plane tangent to the graph of

at the point .

**Problem 3**. For this problem we will use the function from Problem 2.

(a) Compute the derivative matrix .

(b) Compute the linear approximation for at the point .

**Problem 4**. Given the function , compute the derivative matrix .

**Problem 5**. (a) Given a function , explain why its derivative matrix is a “row matrix.”

(b) If instead of arranging the partials of in a matrix we arrange them in a vector, then we do not call the resulting vector expression a “matrix.” Instead we call it *the gradient* of and we notate it as

.

Compute the derivative matrix and compute the gradient, , of the function .

(c ) Find al points where .

(d) What do the points in part (c) have to do with the graph of ?

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