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- Assume x and y are functions of t. Evaluate dydtfor each of the following. 8y3+x2=1; dxdt=2,x=3,y=1Use 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. (1.922+2.12)13Assume xand yare functions of t.Evaluate dy/dtfor each of the following. cos(xy)+2x+y2=2; dxdt=2, x=12, y=1