The Fundamental Theorem of Calculus True or False

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 -> meters True False
8.	Find the average value of f(x) = 4 – x² 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 + v₀. Find v₀ 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

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