II. Answer the following. Show your solutions 11. Find the derivative of x~ + y= = 2. 12. What is the implicit derivative of tan(x2y* ) = 3x + y2 ? 13. Find the derivative of f (x) = x5 - 3x* + 2x3 - x2 + 4x -10. 14. What is the second derivative of the function in no. 13? 15. Determine the fifth derivative of f(x) = e*sinx - 3ex cos x. 16. Determine the absolute extrema of f(x) = 8x3 + 81x2 -42x - 8 on [-8, 2]. 17. Find two positive numbers whose sum is 300 and whose product is a maximum. 18. We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold up the sides to form a box. Determine the height of the box that will give a maximum volume. 19. Calculate the dimensions of a rectangle whose perimeter is 150 m and provide a maximum area. 20. A certain pawikan breeding site is said to be able to sustain 5000 pawikans. One thousand pawikans were brought there initially. After a year, this increased to 1100 pawikans. How many pawikans will there be after 5 years