Homework Statement
1. Starting from rest, a car travels 1350m in one minute. It accelerated at 1m/s2 until it reached its cruising speed. Then it drove the remaining distance at constant velocity. What was its cruising speed?
2. A satellite is in a circular orbit 600km above the Earth’s...
This is what I have:
∫t ^2 e ^-t dt
u = t ^2 dv = e ^-t
du = 2t v = -e ^-t
-t ^2 e ^-t + 2∫te ^-t dt
u = t dv = e ^-t
du = 1 dt v = -e ^-t
-t ^2 e ^-t + 2((t)(-e ^-t) - ∫(-e ^-t)(1)
-t ^2 e ^-t + 2(-te ^ -t) – (e^-t)
-t ^2 e ^-t – 2te^-t – 2e^-t
-e^-t (t^2...
A particle that moves along a straight line has velocity v(t) = t2e-t meters per second after t seconds. How far will it travel during the first t seconds.
This problem is from “calculus” by James Stewart 5e pg 517 # 61
I started the problem by using the formula for integration by parts...