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The solutions to the calculus ii final exam for math 121 held in spring 2009. The exam covers various topics such as acceleration, integration, and derivatives.
Typology: Exams
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Final Exam Name: (print neatly) Instructor: Joyce Servatius (sign)
e^3 t^ − e−^3 t 2 meters per second squared. If the point starts at the origin with velocity 30 meters per second, what is it’s position 5 seconds later.
∫ (^2) 0
(2f (x) + 3g(x)) dx = 5 and
∫ (^2) 0
(5f (x) + 2g(x)) dx = 4.
a) Find
∫ (^2) 0
(f (x) − g(x)) dx.
b) What is the average value of f (x) on the interval [0, 2].
-2 -1 1
y 6 J J J J J J J J
JJ
x
a. d dx
( e^3 x (^2) + ln(3x^2 + 2)
b. d dx
[ arctan(x) 1 + x^2
]
c. d dx
[ 1 + ln(x) x
]
a)
∫ (e^2 )1+x^ dx
b)
∫ (^ sin(3x) 3 + cos(3x)
) dx
Intentionally Blank Area. Use for scrap work. You may write on the reverse if you need more room.
Intentionally Blank Area. Use for scrap work. You may write on the reverse if you need more room.