Q: 1 - 5 marks. [5 points] Determine the maximum profit if the marginal cost and marginal revenue are given by C(x) = 10 + x/10 and R'(x) = 70 and the fixed cost is $120. Uploaded filesQ: 2 - 5 marks. [5 points] Find the line y = mx through the origin, with positive slope, which together with the parabola y = x2 encloses a region of area CO | IA\fQ: 4 - 5 marks. [5 points] Do the following: (a) Find a function f that has y = 4 - 3x as a tangent line and whose derivative is equal to f' (x) = 2 + 4x + 1. (b) Find the area under the curve for f(a) = 23 on [-1, 1]. e2t - 2 (c) Determine where the function is f(a) = So cos (t2 - 1) + 3 -dt increasing. (d) Express So sin(a2) da as limits of Riemann sums, using the right-hand rule. Do not evaluate the limit