Unformatted text preview: Review Problems for final exam Note: 1. The material covered in this set of problems doesn't contain the material for the first and the second exam. You should look for the sets of problems and the streaming power points for the first and the second exams. 2. These problems are an addition to the homework problems. 3. You can watch the solutions on the posted streaming power points. 1. A continuous function f (x) is such that Find
5 3 3 0 f (x)dx = -4 and 0 5 f (x)dx = -10. f (x)dx. 2. Find (a) x2 ex
3 +4 dx (b) sin x cos xdx (c) 1 dx 4-x (d) t2 dt t-1 3. Evaluate 4 1-x dx (a) x 1 (b) ln 2 0 ex dx ex + 2 (c) 2 1 x(x3 - 5 x + )dx x 4. Approximate the area under the curve y = x2 + 2x - 1, above the x-axis and between x = 1 and x = 4 using a Riemann sum with n = 3 and left hand endpoint of each of the subintervals. 5. Let f (x) = x 5 t3 sin (et )dt. (a) Find d f (x). dx (b) Evaluate f (5). 6. A farmer can get $3 per bushel of apples on September 15th. If he sell after that the price drops 10 cents per bushel per day. On September 15th, the farmer has 200 bushels of apple on the trees and the corps is increasing at a rate of 2 bushels per day. When should the farmer pick the apples to maximize revenue? 1 ...
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- Spring '08
- Sets, Continuous function, dx, Final Exam Note