Question
Asked Nov 19, 2019
382 views

Let f(x) = 0 if x < 0 x if 0 ≤ x ≤ 1 2 − x if 1 < x ≤ 2 0 if x > 2 and g(x) = x f(t) dt 0 . and

g(x) = 
x f(t) dt
 
0
.
(a) Find an expression for g(x) similar to the one for f(x).
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Expert Answer

Step 1

The given function are

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[о. if 0 xs1 if x<0 х, f(x) |2 -х if 1<xS2 | 0, if x>2 х 8(3)-Ј/0jd

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Step 2

Suppose

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f(x)0 ifx o Then g(x)fodt =0 0

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Step 3

Suppose...

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f(x)=x, if0<x<1 Then g(x)=ftat 0 2

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Tagged in

Math

Calculus

Integration