Question
Asked Nov 24, 2019
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Can anyone plz explain how to do these.i really need help on this. Plz help.

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Expert Answer

Step 1

Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question.

But the first question has multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

Part (a):

Evaluate f’(x).

Let,
х
45e-21 dt
f(x)4
The fundamental Theorem of Calculus
Suppose fis continuous on [a, b]
1. If P(x)
)dt, then P'(x)=f(x)
b
2.f(x)dx=F(b)-F (a)
help_outline

Image Transcriptionclose

Let, х 45e-21 dt f(x)4 The fundamental Theorem of Calculus Suppose fis continuous on [a, b] 1. If P(x) )dt, then P'(x)=f(x) b 2.f(x)dx=F(b)-F (a)

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Step 2

Differentiate the function f’(x).

Consider
)=45e-21
J4re-2t dt
f'(x)
dx 3
dx
f'(x)=
dx
By fundamental theorem
f'x)F()
dx
d
f'(x)
[F(x)-F(3)
f'(x)f(x)-0
(x)4e-2x
help_outline

Image Transcriptionclose

Consider )=45e-21 J4re-2t dt f'(x) dx 3 dx f'(x)= dx By fundamental theorem f'x)F() dx d f'(x) [F(x)-F(3) f'(x)f(x)-0 (x)4e-2x

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Step 3

Part (b):

Evaluate f’(...

Let
4
f(x)3sin (4-3)dt
Consider
f(t)3sin(4r-3)
help_outline

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Let 4 f(x)3sin (4-3)dt Consider f(t)3sin(4r-3)

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