1:Find the area or the region bounded by the curves y = x^3 and y = x. A:0.25 B:0.5 C:1 D:2
2:For an object whose velocity in ft/sec is given by v(t) = −t^2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs? A:1.333 B:2.438 C:2.667 D:-4
3:Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 3 − x^2 on the interval . If so, find the x-coordinates of the point(s) guaranteed by the theorem.
A;no B:yes x=1 C;yes x=2 D: yes x=+-1
1. integra of (x^3-x) from -1 to 0 + integral of x-x^3 from 0 to 1=0.5
2. integral of -t^2+2 from 0 to 2 dt=4/3=1.333
3. on the interval ??
on the interval [0,sqt3]
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