Pawesuppressl Lorek, University of Ottawa, MAT 1330D, Winter 2009
Assignment 3, due April 1, 17:30 in class
Student Name
Student Number
Problem 1:
[6 points] Find the integral
F
(
t
) of the function
f
(
t
) = 6
t
4
=
3
√
t

6 +
1
t
2
.
Find the antiderivative of
f
(
t
) that satisfies
F
(1) =
26
5
.
Problem 2:
[7 points] Car starts (at
t
= 0) at Ottawa, it’s initial velocity is 9
km
h
(it
abruptly starts with this speed). Accelleration of the car is not constant, it is a following
function of time:
a
(
t
) = 2
t

6
km
h
2
. The travel time is 8 hours.
a) [2 points] What is the speed after 1 hour?
b) [2 points] Does the car stop anywhere during the trip?
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 Fall '08
 DUMITRISCU
 Calculus, Derivative, Fundamental Theorem Of Calculus, Velocity, Pawel Lorek

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