Math 1450
Test 2
Fall 2014
Name: Austin Mohr
Please write only your name on the test sheet.
Place all work and answers on the blank sheets provided.
Only attempt problems that you have not previously mastered.
5. (a) Reduce the following payo matrix by do
MATH 080, FINAL EXAM a (SOLUIONS), 11 DECEMBER, 2007
(Each of the following six problems is worth 15 points; youre much more likely to get partial
credit if you show your work.)
x0
x3 1 if
x + 2 if 0 < x < 2 when answering the following:
(1) Refer to the
MATH 1450, QUIZ 5 SOLUTIONS, 18 FEB., 2010
1/(1 + h)2 1
represents the
h0
h
(1) Fill in the blanks: The expression lim
of the function f (x) =
at the point x = .
,
1
The expression is the derivative of the function f (x) = 2 , at the
x
point x = 1.
1/(2 +
MATH 1450, EXAM 2 SOLUTIONS, 03 MAR., 2010
3x
if x 0
(1) Let f (x) = x2 2 if 0 < x 3 , and answer the following:
7
if x > 3
(a) Sketch the graph of f .
Sorry, no picture. To the left of the y-axis, the graph is a ray,
of slope 3, terminating at the origin
Math 1450
Test 4b
Fall 2014
Name: Austin Mohr
Please write only your name on the test sheet.
Place all work and answers on the blank sheets provided.
Only attempt problems that you have not previously mastered.
13. (a) A factory produces airbags for autom
MATH 1450, EXAM 1 SOLUTIONS, 05 FEB., 2010
(1) (a) Give the formula for the linear function f (x) = Ax+B such that f (1) = 3
and f (2) = 5.
First we have 3 = f (1) = A + B; next we have 5 = f (2) =
2A + B. Subtracting the rst equation from the second give
Math 1450
Test 3
Fall 2014
Name: Austin Mohr
Please write only your name on the test sheet.
Place all work and answers on the blank sheets provided.
Only attempt problems that you have not previously mastered.
9. (a) A bag contains 3 red marbles, 3 green
Math 1450
Test 1
Fall 2014
Name: Austin Mohr
Please write only your name on the test sheet.
Place all work and answers on the blank sheets provided.
Only attempt problems that you have not previously mastered.
1. Let p denote the price of a certain cell p
Quiz #10 Math 1450 gzgtizoonlg237
Name: Student ID:
1. [10 points] Find the radius and interval of convergence of the following power series.
i (43' + 1)"
":1 n2
Ra-'7) 1249
"H 1 l F; /
/e:u[:/Eii , «11 zlleilrm lwl
(mm; Wm"
' C)
<_;_)24LJX4
4]
lVZH
Quiz #1 Math 1450
50 X {'1ka
Name:
1. [10 points] Evaluate. if it exists.
Fall 2014
Section 20237
Student ID: 3. [10 pts] Suppose f is a differentiable function such that ar'*" g fla) S .c2 for all 1' e R.
(a) [2 points] What is the value of Ol?
WW A5
~x
MATH 1450, EXAM 3 SOLUTIONS, 14 APRIL, 2010
(1) Provide a formula for
dy
, where:
dx
(a) y = log2 x.
y =
1
.
x ln 2
(b) y = esin x .
y = esin x cos x.
(c) y =
x2
x
.
+1
y =
1 x2
.
(x2 + 1)2
(d) y = ln(ln x).
y =
1
.
x ln x
(e) y = xex .
y = ex (1 x).
( 1)
MATH 1450, QUIZ 6 SOLUTIONS, 25 FEB., 2010
(1) Water is owing into a tank; the depth of the water at time t minutes
after noon is h(t) feet. Interpretusing appropriate unitsthe statement
h (5) = 0.7.
At ve minutes after noon, the water level is increasing
MATH 1450, QUIZ 4 SOLUTIONS, 11 FEB., 2010
(1) Find k such that the function f (x) =
3x
kx2
if 0 x < 2
is continuous on
if 2 x 4
the interval [0, 4].
The function is continuous everywhere, with the possible exception
of x = 2. Computing the one-sided limi
MATH 1450, QUIZ 10 (solutions), 23 JUNE, 2011
(1) Find all critical points for f (x) = 3x4 4x3 + 6, and use the rst derivative
test to label each as local maximum, local minimum, or neither.
Because f is dierentiable everywhere, the critical points are th
MATH 1450, QUIZ 3 SOLUTIONS, 04 FEB., 2010
(1) Solve for x: ex+3 = 5 e7x .
First take the natural log of both sides, obtaining x+3 = (ln 5)+7x.
Now solve for x: x = 1 (ln 5) + 4).
2
( 1) Solve for x: 2x+3 = 4 27x .
First take the log, base 2, of both side
MATH 1450, QUIZ 10 SOLUTIONS, 22 APRIL, 2010
(1) Find a formula that gives all critical points for a function of the form f (x) =
ax
, where a and b are nonzero constants.
2+b
x
a(x2 + b) 2ax2
ab ax2
By the quotient rule, f (x) =
= 2
= 0 just
(x2 + b)2
(x
MATH 1450, QUIZ 9 SOLUTIONS, 08 APRIL, 2010
(1) Dierentiate f (t) = sin(cosh t).
f (t) = cos(cosh t) sinh t.
( 1) Dierentiate f (t) = cos(cosh t).
f (t) = sin(cosh t) sinh t.
(2) Find the local linearization L(x), near x = 1, for the function f (x) = x +