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Chapter 4: Q. 6 (page 398)

Considerthefunction,A(x)=鈭�axf(t)dt.DetermineifA(x)isincreasingordecreasingwhenfispositiveanddecreasingforx>0.

Short Answer

Expert verified

A(x) will increase.

Step by step solution

01

Step 1. Given

The given function is

A(x)=鈭�axf(t)dt.

02

Step 2. Calculation

The term A(x) is the accumulation of the signed area as x moves from left to right So, if f is positive then the area accumulation A(x) will increase.

Therefore, A(x) will increase.

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