ocr: 6. a) Compute the area of the region bounded by y E X+ 4/x - -5 and the x-axis. [x2 dy d2y 6. b) Let y = /1+tdt Find and J1 dx dx2 7. Find the maximum value of x2y if x+y =30. 8. a) A stone thrown into a pond produces a circular ripple which expands from the point of impact. When the radius is 8ft, it (the radius) is increasing at 1.5 ft/sec. How fast is the area increasing at that instant? 8. b) - Let 1-41-3 and B-7+25. () Find the projection of on - B. (ii) Write a as the sum of a vector parallel to b and a vector perpendicular to B.
