Problem Solving: DIRECTION: Solve the following problem in any sheet of paper and upload to the allotted dropbox in your LMS application. Kindly numbered carefully your solution. 1. Evaluate the following integrals. (5 pts each) a. Find the derivative of the following function: f(x) = xi b. Find the derivative of the following function: f(x) = 5x* (4x -9)3 c. S(2y - 5 )idy dx d. J 4+9x2 2. Solve the following problems. (5 pts each) a. A missile fired ground level rises x meters vertically upwards in t seconds and x = 100t - (25/2)12 i. Find the rate of the missile at t = 2 sec. ii. Find the maximum height reached by the missile ini. What is the time required to reach the maximum height? b. Find the area bounded by the equation x' = By, x = 4 and the x-axis