Math 12002
Final Exam
Calculus
December 8, 2003
Name
A. S. Cavaretta
SHOW APPROPRIATE WORK. Please dont forget additive constants, where they belong. Please check your work carefully.
1. Find
dy
and simplify.
dx
(a) y = 8x4 x8
(b) y = (x + 1)2 (3 4x)2
2.
Arithmetic, Geometric & related series.
The Each entry is the sum of the two entries immediately
terms a, a + d, a + 2d, . . . , a + (n 1)d form an arithmetic above it in the array, one to the right and the other to
sequence (a.k.a. arithmetic progression
Arithmetic, Geometric & related series.
The
terms a, a + d, a + 2d, . . . , a + (n 1)d form an arithmetic
sequence (a.k.a. arithmetic progression, or A.P.). Its sum
is
Each entry is the sum of the two entries immediately
above it in the array, one to the
Math 12002
Calculus 1
Dr. Cavaretta
Fall 2009
What every student should know in preparation for calculus
You should be more than just familiar with the topics mentioned below. But even if you consider your own mathematical background
to be weak in some ar
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Exam 1 will be given on Friday October 2. The exam will be one hour long beginning at
2:15. The topics for the exam are the calculation of limits, including horizontal asymptotes,
the denition of the derivative as a limit and the interpretation of the der
The exam will cover Chapter 4 and sections 5.2 and 5.3 of the Stewart Calculus text.
1. You should know the following concepts:
b
(a) The denite integral
a
f (x)dx = F (x)|b where F is an antiderivative of f .
a
(b) The indenite integral, also called the
Math 12002
Final Exam
Calculus
December 12, 2008
Name
A. S. Cavaretta
SHOW APPROPRIATE WORK. Please dont forget additive constants, where they belong.
1. Find g (/12) if g () = cos(3).
2. Find the equation of the tangent line for f (x) =
1 + 6x2 at the po
Math 12002
Calculus 1
Dr. Gagola
Fall 2016
What every student should know in preparation for calculus
You should be more than just familiar with the topics mentioned below. But even if you consider your own mathematical background
to be weak in some areas