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
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
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 o
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, th
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
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
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
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
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
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'
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
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.
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 po
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
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:
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
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 linear