please help with 4 and 5

4. a. What is the average value of the function f (x) = (\"102 for 0 S x S 3? b. The Mean Value Theorem for Integrals guarantees that there is a number 5 in the domain such that f (C) = fave, the average value found in part (a). What is that number c? 1 (am-1)2 ' 5. Set up an integral for the length of the curve y = 0 S x S 3. Then use your calculator to estimate this value to the nearest thousandth