Using the Mean Value Theorem for Integrals In Exercises 45-50, find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f ( x ) = x 3 , [ 0 , 3 ]
Using the Mean Value Theorem for Integrals In Exercises 45-50, find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f ( x ) = x 3 , [ 0 , 3 ]
Solution Summary: The author explains how to calculate the value of c by the mean value theorem.
Using the Mean Value Theorem for Integrals In Exercises 45-50, find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval.
f
(
x
)
=
x
3
,
[
0
,
3
]
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
please answer by showing all the dfalowing necessary step
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The sides of a cube of ice are melting at a rate of 1 inch per hour. When its volume is 64 cubic inches, at what rate is its volume changing?
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