Q: Show that the following functions are inverse functions?1. Vy = x2 - 4x2 + 16V, x 24x-22. y=(2-x)Q2 Answer one only: -A- If y = e3x and y = e-3* , prove that: -dy - 9y = 0dx8. If y = cos*x - sin*x, prove that: -dy = -4cos2xQ:: Find for the following functions: -xpb- y = x*. e-2x, cos5xa- y = (cosx)v (use logarithm differential)c- esc-/s5xQi: Find Integration for the following functions: -(answer three only)a- S 3in'x dzb- J sin x. cos"x.dx e f cos(Inx).dx d-S7(x-1)(x+1)2Q: A- Use Simpson's Rule with n=2 subintervals, evaluate the integral- Inx. dx , and compare the estimate with exact result.B-Convert the point (-6, -3) from rectangular to polar coordinate.

Q1:Given:xy=x52-4x32=16x →...(1)To show:The functions are…

Q: Show that the following functions are inverse functions? 1. Vãy = x2- 4x + 16V , x24 x-2 2. y = (2-x)2 Q: Answer one only: - A- If y = e3* and y = e-3*, prove that: - d'y d - 9y = 0 B- If y = cos*x - sin*x, prove that: - d'y = -4cos2x dx Q:: Find for the following functions: - xp b- y = x*. e-2x, cos5x a- y = (cosx)v (use logarithm differential) C- csc/3V5x

Q: Show that the following functions are inverse functions? 1. Vãy = x2- 4x + 16V , x24 x-2 2. y = (2-x)2 Q: Answer one only: - A- If y = e3* and y = e-3, prove that: - d'y d - 9y = 0 B- If y = cosx - sinx, prove that: - d'y = -4cos2x dx Q:: Find for the following functions: - xp b- y = x. e-2x, cos5x a- y = (cosx)v (use logarithm differential) C- csc/3V5x

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 48E

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Question

Q: Show that the following functions are inverse functions?
1. Vy = x2 - 4x2 + 16V, x 24
x-2
2. y=
(2-x)
Q2 Answer one only: -
A- If y = e3x and y = e-3* , prove that: -
dy - 9y = 0
dx
8. If y = cos*x - sin*x, prove that: -
dy = -4cos2x
Q:: Find for the following functions: -
xp
b- y = x*. e-2x, cos5x
a- y = (cosx)v (use logarithm differential)
c- esc-/s5x
Qi: Find Integration for the following functions: -
(answer three only)
a- S 3in'x dz
b- J sin x. cos"x.dx e f cos(Inx).dx d-S7
(x-1)(x+1)2
Q: A- Use Simpson's Rule with n=2 subintervals, evaluate the integral
- Inx. dx , and compare the estimate with exact result.
B-Convert the point (-6, -3) from rectangular to polar coordinate.

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