University:
Georgia Southern University
Course:
MATH 1441 | Calculus I
Academic year:

2024
Views:

428

Pages:

4
Author:

Jalen W.

Instructor: Neelam Aggarwal Course: Spring 2022 - Calculus I (MATH1441-02F) Student: Jalen Wilson Date: 07/12/24 1. Assignment: Section 5.4 Enhanced Assignment 2 Given the acceleration a = d s dt 2 , initialvelocity, and initial position of a body moving on a coordinateline, find thebody's position at time t. a = − 16 sin 4t, v(0) = 4, s(0) = − 5 s(t) = sin 4t − 5 2. Evaluate the following integral. 3 ∫ 4x(x − 5)dx 0 3 ∫ 4x(x − 5)dx = − 54 (Simplify youranswer.) 0 3. Evaluate the integral. 4 ∫ 2 2x + x dx 1 4 ∫ 2 2x + 140 x dx = 3 1 (Simplify youranswer.) 4. Evaluate the integral. π/ 3 ∫ 2 9 sec x dx 0 π/ 3 ∫ 2 9 sec x dx = 9 3 (Type an exactanswer, using radicals asneeded.) 0 5. Evaluate the following integral. π 8 ∫ sin 2x dx 0 π 8 ∫ sin 2x dx = 0 −1+ 2 2 2 (Type an exactanswer, using radicals as needed.) 6. Evaluate the integral. π 3 ∫ ( cos x + sec x)2 dx 0 π 3 ∫ ( cos x + sec x)2 dx = 3+ 20π + 3 3 0 24 (Type an exactanswer, using π asneeded.) 7. The marginal cost of printing a poster when x posters have been printed is 2-9. The cost of printing posters 2-9 is (Simplify youranswer.) 8. Evaluate the integral. 4 ∫ t+ 1 A. B. C. D. 2 1 dt t 349 12 111 4 365 12 79 4 9. Evaluate the integral. π/ 2 ∫ 4 sin x dx 0 A. 4 B. − 4 C. 1 D. 0 2 dollars. dc dx = 1 2 x dollars. Find c(9) − c(1), the cost of printing posters 10. Evaluate the integral. 3π/ 2 ∫ 11 cos x dx π/ 2 A. − 22 B. 22 C. 11 D. − 11 11. Evaluate the integral. π 2x ∫ 5 − sin dx 2 0 A. 5π 2 B. − C. D. − 1 2 5π 2 5π 2 + 1 2 5π 2 12. Evaluate the integral. ln 2 ∫ 0 e2x dx A. 3 2 B. 4 C. 3 D. 2 13. Find the derivative. d x6 ∫ dx 0 sin t dt 6 A. sin x 6 5 B. 6x sin x C. 1 7 6 x sin x 7 6 D. − cos x −1 14. Find the derivative. x y= ∫ 10t + 3 dt 0 A. 1 15 (10x + 3) 3/2 5 B. 10x + 3 C. 10x + 3 − D. 10x + 3 15. Find the derivative. x y= 8 ∫ cos t dt 0 A. B. C. D. 4 cos x 4 sin x 4 7 8x cos x 4 cos x −1 3