A=12. B=1.2. C=0.1

Differential Calculus In questions 1 to 5 you should use the values of a, b and c allocated to you in Table 1. 1) Differentiate a) y = 108'\" + 16x b)y = bt3 + 6sin(2t) 7 2) Use the product rule to differentiate y = (31:2 + (08\" d 3) Find the velocity v = df of an object falling through the atmosphere at a height 31 of y = 2000 + 15t 0.002t4 Give the velocity after t = 3 seconds 4) Using the chain rule, calculate the derivative 3: of the function y = In (bx3 7) . d. and so determine the value of 3% when x = 2. 5) A cantilevered beam is subjected to a complex periodic wind loading and experiences a vibration at its unsupported end of x = 0.63 + csin(3t) 0.25 cos(5t) metres dx Find an expression for the velocity v = E of the unsupported end and give the value of the velocity when t = 0.3 seconds