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This is the Exam of Calculus which includes Statement, Integral, Function, Graph, Right Hand Sums, Rectangles To Estimate, Definition, Derivative, Method Besides etc. Key important points are: Largest Number, Graph, Derivative, Integrate, Method, Derivative, Rolling, Snowball, Volume Increasing, Radius Increases Steadily
Typology: Exams
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Name: Student ID: Section: Instructor:
April 14, 2012, 11:00 a.m. – 2:00 p.m.
Instructions:
For Instructor use only.
Sub 71
Sub 29
Total 100
Free response: Write your answer in the space provided. Answers not placed in this space will be ignored.
(a) Find lim x→ 2 +
x − 2
Answer:
(b) Use the given graph of f to find the largest number δ such that
if 0 < |x − 3 | < δ then |f (x) − 2 | < 0. 3.
Answer:
(c) Find the derivative of ln(x − 3).
Answer:
(d) Integrate
tan x sec x dx.
Answer:
(e) If
1
f (x) dx = 12 and
1
f (x) dx = 4, what is
4
f (x) dx?
Answer: