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MA141 QUIZ 5Name: ________________________________ Directions: Do the following problems and follow the instructions. Add space to insert your work as desired, but clearly outline your answer. Illegible writing won’t be given partial credit and show all work. Five (5) points will be deducted if your name is not typed or written at the top of each page. Section 8.4 1. Decompose the fraction. 2. Decompose the fraction and find the integral. 3. Solve the differential equation for x if k = 1 and the reaction begins with: i. a grams of A and b grams of B with a≠b, and ii. c grams of B (c≠0). Section 8.5 4. Directions: a. solve for θ as a function of x. b. replace θ in f(θ) with your result in part (a), and c. simplify. 5. Evaluate the integral. 6. Evaluate the integral. 7. First complete the square, make the appropriate substitutions, and evaluate the integral. Section 8.6 8. Evaluate the integral. (More than one method works for some integrals.) 9. Evaluate the integral. (More than one method works for some integrals.) 10. Evaluate the integral. (More than one method works for some integrals.) 2 | Page