Chapter 4.1, Problem 7E

Consider the ODE: y'- x²y = x² a. Solve the ODE as a linear equation in y (Section 2.3). Answer in explicit form. b. Solve the ODE by separating the variables (Section 2.2). Answer in explicit form.

3) cos-1x. dx f cos

2. Find the derivative. a. y = sin x³ b. y = sin³ x C. y = cos(4x+9) Copyright ©2021 The Ontario Educational Communications Authority. All rights reserved. d. y = cos² (x²+3) e. y = x² sin(x² +5) f. y=5e* g. y=e5x h. y=xe3x+ i. y = ln(x+3) j. y=5ln(x²+4) k. y=5* 1. y=(x²+2)² (x²+2x+1)' m. y=ln(sin x) n. y=(x+lnx)

Evaluate

y = cos(-4x)

Four equations are provided below. Which equation follows from the Power Rule? I. (xP)' = pxP1 P-1 sin(x) cos(r) cos(z) - sin(r) (- sin(r)) cos²(x) sin(2)) II. cos(x) III. (x sin())' = sin(x) + ¤ cos(x) %3D IV. (cos (1+ z*))' = – sin(1+x²) - 2z CoS a) O Equation III b) O Equation II c) O Equation I d) O Equation IV e) O None of the above.

AN tan sec()dv A 2 2 2 14s 1YS

Find for y = 9x2 sin x + 18x cos x – 18 sin x. 증 11

When applying substitution (u=tan(x)) to O a) [s sec¹(x) tan(x) dx [ (u³+u) du › [ (u³ - u) du [ |(25 (u³ + u) du O b) O c) Od) / (u5 - u) du is equivalent