MATH 205-04
Exam #1
This test is closed-book and closed-notes. No calculator is allowed for this test. For full credit show all of your work (legibly!), unless otherwise specified. For the purposes of
MATH 205-04
Quiz #6
Name:
1. (4 points) Using two steps of Newtons method with a starting value of x0 = 1, produce an
approximation x2 to a zero of the function f (x) = x3 x+1. Your answer need not be
MATH 205-04
Quiz #5 Solutions
1. (4 points) Approximate the two following values with well-chosen linear approximations: 3 997. We consider the function f (x) = 3 x = x1/3 , whose derivative is f (x)
MATH 205-04
Quiz #5
Name:
1. (4 points) Approximate the two following values with well-chosen linear approximations: (a) 3 997.
(b) (3.04)4 .
2. (10 points) Let f (x) = 2 + 3x2 - x3 . Answer the follo
MATH 20504
Quiz #4 Solutions
1. (12 points) Compute the following derivatives:
dy
(a) (4 points) Given y = x2 esec x , nd dx .
This is a product rule stacked with a chain rule (since esec x is a compo
MATH 20504
Quiz #4
Name:
1. (8 points) Compute the following derivatives:
(a) (4 points) Given y = x2 esec x , nd
(b) (4 points) For f (t) = cos
(c) (4 points) Compute
d
d
et 2
arcsin t
dy
.
dx
, nd f
MATH 20504
Quiz #3 Solutions
1. (6 points) Compute the following innite limits, or, if the limit is uncomputable, briey describe
(in symbols or words) the relevant long-term behavior of the function.
MATH 20504
Quiz #3
Name:
1. (6 points) Compute the following infinite limits, or, if the limit is uncomputable, briefly describe (in symbols or words) the relevant long-term behavior of the function.
MATH 20504
Quiz #2
1. (6 pts) Below is the graph of a function f (x). For each of the six quantities listed to the right, either give its value or specifically state that it does not exist.
1 1
x-3
li
MATH 20504
Quiz #2
1. (6 pts) Below is the graph of a function f (x). For each of the six quantities listed to the right,
either give its value or specically state that it does not exist.
f (2)
lim f
MATH 20504
Quiz #1 Solutions
Any answers which require logarithms to be expressed should be put in terms of natural or common
logarithms. Show all work.
1. (8 points) There are currently 5000 inhabita
MATH 20504
Quiz #1
Any answers which require logarithms to be expressed should be put in terms of natural or
common logarithms. Show all work.
1. (8 points) There are currently 5000 inhabitants of the
MATH 205
Practice Exam #3
Name:
This test is closed-book and closed-notes. No calculator is allowed for this test. For full credit
show all of your work (legibly!), unless otherwise specied. Algebraic
MATH 20508
Practice Exam #2
Name:
This test is closed-book and closed-notes. No calculator is allowed for this test. For full credit show all of your work (legibly!), unless otherwise specified. Answe
MATH 205
Practice Exam #1 Solutions
1. (8 points) A sample of phlebotinum-75 decays over time, losing 23% of its mass per year. We have just obtained a 20-gram sample of this element. (a) (3 points) C
MATH 205
Practice Exam #1
Name:
This test is closed-book and closed-notes. No calculator is allowed for this test. When answering
the questions you are only allowed to use tools and techniques that we
MATH 205-04
Exam #3
Name:
No calculator is allowed for this test. For full credit show all of your work (legibly!), unless otherwise specified. Algebraic and trigonometric simplification of answers is
MATH 205-04
Exam #1 Solutions
1. (8 points) Evaluate the following limits; when a limit can not be evaluated, explicitly say so. (a) (2 points) lim 3t .
t-1
Since an exponential function with positive
MATH 205-02H
Quiz #6 Solutions
1. (4 points) Using two steps of Newtons method with a starting value of x0 = 1, produce an
approximation x2 to a zero of the function f (x) = x3 x+1. Your answer need n