1.
The Fundamental Theorem of Calculus says that -> provided f = F ' is continuous on [a ,b ]
True
False

2.
-> 0
True
False

3.
For what value(s) of a in [0,2π] is ? -> 0,π,2π
True
False

4.
-> 4^{x} – 2^{x}
True
False

5.
Let f be continuous on [a ,b ]. If F (x ) and G (x ) are antiderivatives of f , which of the following statements must be true?

(I)

(II)

(III) If F (b ) – F (a ) = G (b ) – G (a ) then F and G must be the same function. -> (I) and (III)
True
False

6.
If x is measured in meters and n (x ) is measured in Newtons, what are the units of -> Newtons per meter
True
False

7.
If x is measured in meters and n (x ) is measured in Newtons, what are the units of -> Newtons
True
False

8.
Find the average value of f (x ) = 4 – x ^{2} on [-1,2]. -> 3
True
False

9.
A ball is thrown from a tall building. Its speed in meters per second t seconds after being thrown is given by the formula

v (t ) = 9.8t + v _{0} .

Find v _{0} given that the ball travels 51 meters during the first 3 seconds after it is thrown. -> 21.6 meters per second
True
False

10.
Brianna leaves her cabin in the wilderness and drives towards civilization. Her velocity in miles per hour is

v (t ) = 40 + 2t

where t is the number of hours since she left her cabin. To the nearest hour, how long does it take her to drive 600 miles? -> 12 hours
True
False