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

2024
Views:

359

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 4.8 Enhanced Assignment ∫ Find the indefinite integral (8x + 5)dx. ∫ (8x + 5)dx = 2 (Type an exactanswer.) 4x + 5x + c 2. Find the most general antiderivative or indefinite integral. Check your answer by differentiation. ∫ ∫ 3. 6 5 2x − 7x + 5 dx = x 3 7x − 2 + 5x + c ∫ −4 5−x dx = −4 dx. 25 2 5 − 2 x + x +c 2 2 Find the functiony(x) satisfying The functiony(x) satisfying 5. 2 Find the indefinite integral 5x 5 − x ∫ 5x 4. 5 2x − 7x + 5 dx dy dx Find the functions(t) satisfying The function satisfying ds dy = 10x − 3 and y(8) = 0. dx 2 = 10x − 3 and y(8) = 0 is y(x) = 5x − 3x − 296 . ds = 2 + 3 cos t and s(0) = 7. dt = 2 + 3 cos t and s(0) = 7 is s(t) = 2t + 3 sin t + 7 . dt 6. 2 Find the functiony(x) satisfying d y 2 dx 2 The function satisfying d y dx 2 = 12 − 24x, y′(0) = 7, and y(0) = 4. 2 3 = 12 − 24x, y′(0) = 7, and y(0) = 4 is y(x) = 6x − 4x + 7x + 4 . 7. Find the curve in thexy-plane that passes through the point (9,9) and whose slope at each point is 6 x . 3 y= 4x 2 − 99 8. Find an antiderivative of the given function. 4 x −5 3 A. 4x 2 −5 3 8 2 B. x −5 3 3 C. 8 2 x − 5x 3 3 D. 4x 2 − 5x 9. Find an antiderivative of the given function. − 20 5 x A. 4 − 5 x B. 5 x C. 4 x D. 4 6 5 x 5 10. Find the most general antiderivative. ∫ 1 4 1 4 −x − A. − B. 1 3x 1 5x 5 dx 3 x 3 − − x x 5 5 3 3 3 + − 1 9 x 3 +C +C 4 C. − 4x − 4x + C D. 1 4x 5 − x 5 5 − 1 3x +C 11. Find the most general antiderivative. ∫ t− 7 t dt 3 8 2 2 7 7 A. t − t +C 3 8 3 8 3 2 8 7 B. t − t +C 2 7 C. t− 6 t +C 1 D. 6 −1 2 1 − 7 t − t +C 2 7 12. Find the most general antiderivative. ∫ y 2 + 1 A. 4 6 y y− dy 1 12 y +C 3 B. 1 2 y − 12 y + C 3 C. 1 2 y + 12 y + C 3 D. 3 2 1 y + 4 12 3 3 y +C 13. Find the most general antiderivative. ∫ ( − 9 cos t)dt A. − sin t 9 +C B. − 9 sin t + C C. − 9 cos t + C D. − 9 sin t +C 14. Find the most general antiderivative. ∫ 2 − 2 sec x dx A. − 2 tan x + C B. − 2 cot x + C C. 2 cot x + C D. tan x 2 +C 15. Find the most general antiderivative. ∫ sin θ( cot θ + csc θ)dθ A. cos θ + C B. sin θ + C C. sin θ + θ + C D. csc θ + cos θ + C