Find the number(s) c referred to in the mean value theorem for integrals for each function, over the interval indicated. f(x)=x cos (x) over [0, 3pi/2]

cottencintu

cottencintu

Answered question

2022-08-05

Find the number(s) c referred to in the mean value theorem for integrals for each function, over the interval indicated.
f ( x ) = x cos ( x ) over [ 0 , 3 π / 2 ]

Answer & Explanation

Ismailatirf

Ismailatirf

Beginner2022-08-06Added 14 answers

over [ 0 , 3 π / 2 ]
f ( c ) = f ( b ) f ( a ) b a = 0 0 3 π 2 0 = 0 f ( c ) = 0 f ( c ) = k
b = 3 π / 2 f ( b ) = 3 π 2 cos ( 3 π 2 ) = 3 π 2 0 = 0
a = 0 f ( a ) = 0. cos ( 0 ) = 0.1 = 0

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