Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Find the average rate of change of the function over the given intervals.
3
f(x) = 5x³+5; a) [4,6], b) [1,1]
a) The average rate of change of the function f(x) = 5x³ + 5 over the interval [4,6] is
(Simplify your answer.)
Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The graph represents a typical utility function.
Find the average value have of the function h on the given interval.
h(u) = (9- 6u)-1,
[-1, 1]
have
=
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- 3. parts first.) Find the number(s) a such that the average value of the function f(x) 30-24x + 3x² on the interval [0, a] equal to 10. = f the function f(r) -8cos(r) on the interval [0, π/2]arrow_forwardFind the average value of the function over the given interval and all values z in the interval for which the function equals its average value. z2 +3 f(z) = 2sz57 Use a graphing utility to verify your results. 17 and the point at which the function is equal to its mean value is 21 A) The average is V14 17 and the point at which the function is equal to its mean value is 14 B) The average is V14 17 and the point at which the function is equal to its mean value is 21 C) The average is V14 and-V14. 17 and the point at which the function is equal to its mean value is 14 D) The average is V14 and -V14 17 and the point at which the function is equal to its mean value is 21 E) The average is V14 14.arrow_forward
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