Please help with this . Thank you

1. Find f such that f'(x) = 6x - 7, f(7) = 0. f(x) = 2. Find the area under the given curve over the indicated interval. y = 2x; [2, 6] The area under the curve is . (Simplify your answer.) 3. A small tie shop finds that at a sales level of x ties per day its marginal profit is P'(x) dollars per tie, where P'(x) = 1.50 + 0.14x - 0.0 Given that P(0) = 60, find the profit from operating the shop at a sales level of x ties per day. P(x) = 4. During 20 weeks at the height of an influenza outbreak, the rate at which the number of cases of infection changed could be appro by I'(t) = - 6.38t+ 141.5, where I is the total number of infected people and t is time measured in weeks. Answer parts a) through d a) Estimate I(t), the total number of people who have contracted influenza by time t. Assume that I(0) = 1429. I(1) = b) Approximately how many people contracted influenza during the first 8 weeks? people (Round to the nearest integer as needed.) c) Approximately how many people contracted influenza during the whole 20 weeks? people (Round to the nearest integer as needed.) d) Approximately how many people contracted influenza during the last 7 of the 20 weeks? people (Round to the nearest integer as needed.) 5. Evaluate. [x 7 dx ( x 7 dx =