Consider the function f(x) = 2sin(x2) on the interval 0 ≤ x ≤ 3.
(a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum.
x =
(b) If F(1) = 9, estimate the maximum value attained by F. (Round your answer to three decimal places.)
y ≈
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OpenStudy (inkyvoyd):
set 2sin(x^2)=0
OpenStudy (inkyvoyd):
Wait, over an interval -_-
OpenStudy (inkyvoyd):
Ignore the interval, and just solve that trig equation.
OpenStudy (anonymous):
i know that the answer for part "a" is
OpenStudy (anonymous):
square(pi)
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OpenStudy (inkyvoyd):
square or sqrt?
OpenStudy (anonymous):
i dont know how to do part b
OpenStudy (anonymous):
sqrt
OpenStudy (inkyvoyd):
Well, your interval s defined only up to 3. Is that supposed to be that way, or is the three suposed to be pi?
OpenStudy (anonymous):
up to 3
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OpenStudy (anonymous):
a)\[2*\sin(2*x)=0\rightarrow x=k*pi/2\]
In this interval x=pi/2