# Calc Homework , math homework help

*label*Mathematics

*timer*Asked: Apr 13th, 2017

*account_balance_wallet*$30

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## Tutor Answer

please see and let me know if any correction required... i tried to finish as soon as possible..

Given that

x

A( x)

x

f (t )dt and F ( x)

4

f (t )dt

1

f (t ) (1 (t 3) 2

- 4 t 2

t2

- 2 t -1

1

-1 t 0

1 t

0t 1

1-t

1t 2

-1 1 - (3 - t) 2

2t4

As f (t ) is continuous over [4,4] , then

A( x) f ( x) for 4 x 4

As f (t ) is continuous over [1,4] , then

F ( x) f ( x) for 1 x 4

1. Determine the intervals over which A and F are increasing and those over which A and F are

decreasing.

x

A( x)

f (t )dt

is decreasing over the following intervals

4

(4,2) and (1,4)

x

A( x)

f (t )dt

is increasing over the following inter...

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