MATH 20515
Quiz #4 solutions
1. (14 points) Answer the questions below:
d (a) (5 points) Find d (cos )esec . Using the product rule:
d (cos )esec = d
d sec d d sec cos esec +(cos ) e = - sin esec +(co
MATH 20515
Quiz #1 Solutions
Name:
1. (4 points) Identify the domain of the following functions:
(a) (2 points) g (t) = 3t 2.
The obvious impediment to the existence of this function is when 3t 2 is n
MATH 20515
Quiz #2
Sample for distribution
1. (4 points) For the plot of g (x) shown below, indicate whether or not each of the
following quantities can be evaluated. If they can be evaluated, compute
MATH 20515
Quiz #1
Sample for distribution
1. (4 points) Identify the domain of the following functions:
(a) (2 points) g (t) = 3t 2.
(b) (2 points) f (x) =
4x
.
2x 1
2. (4 points) Sunspot intensity u
MATH 20515
Practice Exam #2 Solutinos
1. (8 points) The horizontal displacement in meters of a particle at time t, measured in seconds, is given by the formula s(t) = t3 - 8t2 + 16t. (a) (2 points) Wh
MATH 20515
Practice Exam #1
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 hav
MATH 20515
Practice Exam #2
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.
For the purpo
MATH 20515
Quiz #2 solutions
1. (4 points) For the plot of g (x) shown below, indicate whether or not each of the
following quantities can be evaluated. If they can be evaluated, compute their values.
MATH 20515
Quiz #3
1. (8 points) Solve the problems given below. (a) (4 points) Given f (x) = (x5 + ex )(x + 3), find f (x).
(b) (4 points) Find
d t2 -1 . dt et
2. (4 points) Determine the values of t
MATH 20515
Quiz #6
1. (6 points) Evaluate the following limits, or demonstrate that they do not exist: (a) (2 points) lim cos-1 . 2
0
(b) (2 points) lim
ex . x+2 x2
(c) (2 points) lim xe-x .
x
2. (8 p
MATH 20515
Quiz #6 Solutions
1. (6 points) Evaluate the following limits, or demonstrate that they do not exist:
(a) (2 points) lim cos1 .
2
0
We note that, evaluated at = 0, the expressions cos 1 and
MATH 20515
Quiz #5
1. (6 points) Liquids in microgravity tend to form perfect spheres, and a sphere or radius
4
r has volume 3 r3 . A scientist on the international space station is sipping at a spher
MATH 20515
Quiz #5
1. (6 points) Liquids in microgravity tend to form perfect spheres, and a sphere or radius
r has volume 4 r3 . A scientist on the international space station is sipping at a sphere
MATH 20515
Quiz #3 solutions
1. (8 points) Solve the problems given below.
(a) (4 points) Given f (x) = (x5 + ex )(x + 3), nd f (x).
d
f (x) = dx [(x5 + ex )(x + 3)], which we can evaluate using the p
MATH 20515
Quiz #4
1. (14 points) Answer the questions below: (a) (5 points) Find
d d
(cos )esec .
(b) (4 points) For g(t) = arctan(t ln t), find g (t).
(c) (5 points) Given that y = earcsin(t ) , fin
MATH 20515
Exam #1
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 have discuss