Hey everyone, hope someone can help me with this problem. I just got back from Spring Break and for some reason have forgotten how to do this... Thanks in advance for any help you can give me!
Suppose that in a memory experiment the rate of memorizing is given by:
M'(t)=-0.009t^2+0.2t
where M'(t) is the memory rate in words per minute. How many words are memorized in the first 10 minutes (from t=0 to t=10) ?
Suppose that in a memory experiment the rate of memorizing is given by:
M'(t)=-0.009t^2+0.2t
where M'(t) is the memory rate in words per minute. How many words are memorized in the first 10 minutes (from t=0 to t=10) ?
int(int(-.009t^2 + .2t))
integrate:
int(.003t^3 + .1t^2 + c)
integrate again:
.00075t^4 + .03333...t^3 +cx +d)
plug in 10:
7.5 + 33.333... +10c +d
245/6 + 10c +d
wow that helped a ton. Thank you so much. If I'm understanding this correctly, I find the antiderivative and substitute 10 for t, then do the same and substitute 0 for t, and subtract the first (the one i substituted 10) and subtract the second (the one i substituted 0)? If that made any sense haha.