Given v′(t)=2ti+j, find the arc length of the curve v(t) on the
interval [−2,3]. You may use technology to approximate your
solution to three decimal places.
Approximate the arc length of the curve over the interval using
Simpson’s Rule SN with ?=8. ?=2?^(−?^2), on ?∈[0,2] (Use decimal
notation. Give your answer to four decimal places.) ?8≈
Approximate the arc length of the curve over the interval using
Simpson’s Rule SN with N=8.
y=7e^(−x2) on x∈[0,2]
(Use decimal notation. Give your answer to four decimal
places.)
Find the area between the curve and the x-axis over the
indicated interval.
y = 100 − x2;
[−10,10]
The area under the curve is ___
(Simplify your answer.)