Consider the function f(x) = 6sin(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) = 6, estimate the maximum value attained by F. (Round your answer to three decimal places.)
y ≈

Question

Consider the function f(x) = 6sin(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) = 6, estimate the maximum value attained by F. (Round your answer to three decimal places.)
y ≈

anonymous · Answer

http://www.wolframalpha.com/input/?i=6sin%28x^2%29++domain+0..3 will reach the max when the area above the curve is greatest, i.e. at the point where the curve crosses the $x$ axis in the picture

anonymous · Answer

since $\sin(\pi)=0$ your answer is $x^2=\pi$ or $x=\sqrt{\pi}$

anonymous · Answer

It said it is wrong

anonymous · Answer

oh nevermind, it worked now. thank you. would you be able to help me with part  b?