Question 20 *20.Which of the following statements are FALSE?dy2л -5If y = In(7 - 5x), thendeI- 5x3e3xIf y=ln(e* +1), thenIIde+1If y = e cosx, thendy-= -2esin x.deIIIAI and IIBI and IIIII and IIIDI, II and IIIO AВ

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Answered: 20. Which of the following statements…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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3. Multiple Choice Which of the following gives dy/dx if y = sin- (2x)? r 2 (A) (B) VI - 4. VI - 4x 2x (C) VI - 4x (D) Vi - 4x (E) 1+ 4x2
6. Which of the following is correct? S cos 2x dx = - sin 2x + C S sin 2x dx = sin²x +C S sin³x dx = in'z +c Se*cos x dx = e*sin x +C A. В. C. D. A B 7. Evaluate: L(x - 4)dx. - 25/3 - 22/3 C. A. В. - 20/3 - 28/3 D. A B 8. Evaluate: f dx. A. 11/6 13/6 10/6 14/6 В. C. D.
_1. What are the domains of the function y = 2 cos ( x +)? %3D А. R В. [ -2, 2) C. (2, -2) D. Q 2. What is the amplitude of y = 4 sin x ? А. 1 B. 4 С. 4 D. 2n
We would like to find a formula for eax sin(bx) dx by completin eax sin(bx) dx u = sin(bx) = du b cos(bx) dx %D 1 U = -eax a du = eax dx = 1 sin(bx) · -ex ea. b cos(bx) dx - a a 1 -eax sin(bx) – - / e* cos(bx) dx a a Please continue with the work to show that the formula is eax sin(bx) dx = eax |- b cos(bx) + a sin(bx) + C a2 + b2
Ans. (A, C) Ssinto -2siuo -3. 17. If 2 tana tan?B tan?y + tan? a tanß +tan?B tany + tan?a tan2y 1 (a. ß.y e R, a. B. y = (2x+1) Csmo (che-iH3(sh@-) where x is an integer) (A) sin'a + sin B + siny = 1 (B) cos2a + cos2B - cos2y = 1 (C) cosa + cos ß + cosy = 2 (D) cos(a + B) cos(a - B) = cos?y sing= Ans. (AC) we=45 Qこno =ー3|5
Identify the class of equation (i) 2x+3 = y ;(ii)2x +2.x +3 = 0; (iii) 2sin x +sin x? = 1. %3D
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20. Which of the following statements are FALSE? dy 2л -5 I If y = In (7 - 5x), then de 7 - 5x 3e3x If y=ln(e* +1), then dy de e3x +1 II %3D If y = e cos.x, then dy = -2e sin x. dx III A I and II В I and III II and III D I, II and III