Chapter 6.3, Problem 18E

3. parts first.) Find the number(s) a such that the average value of the function f(x) 30-24x + 3x² on the interval [0, a] equal to 10. = f the function f(r) -8cos(r) on the interval [0, π/2]

Area under the curve x + y = 3 and the coordinate axis

Exer. 27-32: (a) Use f' to prove that f has an inverse function. (b) Find the slope of the tangent line at the point P on the graph of f. 27 f(x) = x² + 3x³ + 2x-1; P(5, 1)