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Find the average rate of change of the function over the given intervalf(t) 11+sin ta.2п Зт3b.2 2a. The average rate of change overis(Type an exact answer, using T as needed.)3Tisb. The average rate of change over2(Type an exact answer, using T as needed.)

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Find the average rate of change of the function over the given interval
f(t) 11+sin t
a.
2
п Зт
3
b.
2 2
a. The average rate of change over
is
(Type an exact answer, using T as needed.)
3T
is
b. The average rate of change over
2
(Type an exact answer, using T as needed.)
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Find the average rate of change of the function over the given interval f(t) 11+sin t a. 2 п Зт 3 b. 2 2 a. The average rate of change over is (Type an exact answer, using T as needed.) 3T is b. The average rate of change over 2 (Type an exact answer, using T as needed.)

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Step 1

Calculation:

a)

Compute the average rate of change of f(x) over [π/2, π] as follows.

f(T)
-
2
A =
2
11+sin()sin|
2
2
-2
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f(T) - 2 A = 2 11+sin()sin| 2 2 -2

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Step 2

b)

Compute the average rate of change of f(x) over [&mi...

Зл
2
2
A =
Зл
2 2
11sin 11-sin
2
2
(27)
0
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Зл 2 2 A = Зл 2 2 11sin 11-sin 2 2 (27) 0

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