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Chapter 4: Q. 12 (page 398)


Consider the following graph A(x)=A(x)=鈭�0xf(t)dt

List the quantities A(1),A(3), A(6),A(7)

Short Answer

Expert verified

The order is A(1) <A(6)<A(3)<A(7).

Step by step solution

01

Step 1. Graph of the signed area from x=0 to x=1

The given functionA(x)=鈭�0xf(t)dt

02

Step 2. Graph of the signed area from x=0 to x=1


03

Step 3.  Graph of the signed area from x=0 to x=3


04

Step 4.  Graph of the signed area from x=0 to x=6


05

Step 5.  Graph of the signed area from x=0 to x=7

06

Step 6. Result

Clearly we can see that A(1) <A(6)<A(3)<A(7).

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