Please show all the steps for below questions

1. 2. 3. 4. 5. 8. Evaluate the integral : Evaluate the integral: f (4x3 7x2 + 8)dx Evaluate Evaluate Find y = The rate dp 50t2 dt the the integral : integral : if f' - (x) = f 3 csc x cotx dx 3x2, f' (O) = 7, and f (O) = 2 of growth of a particular population is given by 100t3/2, where P is the population size and t is the time in years. The initial population is 25, 000. Find the population function . Then use a graphing utility to graph the function, and then use the graph to estimate how many years it will take for the population to reach 75, 000. Use the properties of sigma notation and the summation formulas to evaluate 10 Find the the given sum: limit : Page n n e