can you help with question 7 here.

12 marks] 6. (a) Given f(0) = 2 and f'(x) dr = -1, determine the value of f (3). 12 marks) (b ) For h(z ) = dt, compute I'(z ). Do NOT simplify your answer. [8 marks] 7. Evaluate the integral 3x - x' dx by using Riemann sums with equal width subinterval divisions of [0, 1), RIGHT end-points and limits. Consult page A if needed. 8. Evaluate the following integrals. [3 marks] (a) 7(z)09 - 3e* + sin(3x) dr [3 marks] ( b ) Viln ( I ) do 13 marks] ( c ) 3 # dx [3 marks] (d) arcsin(z) dr Hint: "LIPTE" and J (arccos(z)) = 1-7 [5 marks] 9. (a) Determine the partial fractions decomposition/ expansion and solve for any unknown con- stants for 14x -4 f(2) = (1 -1)(12 +9) [5 marks] 14x - 4 (b) Evaluate the integral _29 dr. If values in part a) could not be computed, then make up your own for part credit. 10. The region bounded by y = 1', y = 51 - 4, 1 = 1, I = 4 is to be rotated about I = -2. [2 marks) (a) Sketch a diagram illustrating the volume of revolution, including a relevant cross-sectional "slice&quot