6. Represent the following function h as a Fourier integral. h(x) = 1 −11

Assume x and y are functions of t. Evaluate dydtfor each of the following. 2xy5x+3y3=51; dxdt=6,x=3,y=2

Use the total differential to approximate each quantity. Then use a calculator to approximate the quantity, and give the absolute value of the differences in the two results to 4decimal places. (2.9320.942)13

YOUR TURN Suppose x are y are both functions of t and x3+2xy+y2=1. If x=1, y=2, and dxdt=6, then find dydt.