Pennsylvania State University Calculus I Canvas Quiz 5 it is going to be like the last quiz and please make sure not to use a calculator. thank you Calculu

Pennsylvania State University Calculus I Canvas Quiz 5 it is going to be like the last quiz and please make sure not to use a calculator. thank you Calculus I: Canvas Quiz 5
April 29, 2020
This quiz is worth ten points. Show all work and justify your steps where necessary. No calculators
are allowed.
1. Find f 0 (x) for the following function: (3 points)
Z 4
tan(3x ? 1) + 4×3 dx
f (x) =
sin(x)
2. Use the second part of the FToC to calculate the following: (2 points)
Z 2
6×2 ? 2x + 4 dx
?1
3. Suppose that the position of a particle is given by the function s(t) = t2 + 4t ? 5 where s is
in feet and t is in seconds. Find total distance traveled by the particle on the interval [0, 3]
(3 points)
4. Let r(t) be the rate, in cubic meters per minute, at which water is added to a swimming pool.
Let t is the number of minutes since the pool started to be filled. Interpret the following
integral as a sentence: (2 points)
Z
10
r(t) dt = 4
3

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