University of Oregon: Math 246
Final Exam, March 14, 2011
No Calculators, Notes, or Formula Sheets. Show all your work or you may get no credit!
Do all your work on the paper provided. You have 2 hour
WORKSHEET FOR 1.11 (WITH SOLUTIONS)
MATH 246, FALL 2012
Summary of last time: Last week we discussed a model of the heart, which went as follows:
There are three things to keep in mind: (1) the pacem
Math 246
Homework #1
(1.1) #22. (a) Find the equation of the circle with center (2, 5) and radius 3.
(b) Where does the circle intersect the y -axis?
(c) Does the circle intersect the x-axis? Explain.
Math 246
Homework #2
(2.1) #3. Evaluate the limit using a table or graph: lim
x1 x2
x
+1
Solution: With a calculator, we can come up with a table:
x
x
2+1
x
0.9 0.4972
0.99 0.49997
0.999 0.4999997
1.1
Math 246
Homework #3
(2.2) #1. Let f (x) = x2 cos
1
x
, x=0
(a) Use a graphing calculator to sketch the graph of y = f (x).
(b) Show that for x = 0, x2 x2 cos
1
x
x2 .
(c) Use your result in (b) and
Math 246
Homework #4
x2 + 1 is continuous at c = 1.
Solution: Well, f (x) = (a b)(x), where a(x) = x and b(x) = x2 + 1. Since b is a
polynomial, its continuous at every number; in particular, its cont
Math 246
Homework#5
(3.1) #18. Use the formal denition to nd the derivative of f (x) =
for x = 1.
1
x+1
Solution: Well,
f (x + h) f (x)
= lim
f (x) = lim
h0
h0
h
1
h0 h
= lim
1
1
(x + h) + 1 x + 1
1
(
Math 246
Homework #6
(3.4) #1. Dierentiate with respect to the indicated variable:
f (x) = (2x 1)3
Solution: By the Chain Rule,
f (x) = (2x 1)3
= 3(2x 1)2 (2x 1)
= 3(2x 1)2 (2)
= 6(2x 1)2
(3.4) #4. Di
Math 246
Homework #8
(4.1) #4. Use a graphing calculator to determine all local and global
extrema of the f (x) = x2 4x + 2 on [0, 3].
Solution: First, we compute f (x) = 2x 4. Then f (x) = 0 when x =
Math 246 Fall 2001
Solutions
Quiz 1
1. Find an equation of the line perpendicular to the line 4x 7y = 3 and passing through
the point (1, 3).
Solution: Lets put the equation 4x 7y = 3 into slope-inter
Math 246 Fall 2001
Solutions
Quiz 3
1
compute the derivative f (x).
x2
Solution: We compute:
1
f (x + h) f (x)
(x+h)2
f (x) = lim
= lim
h0
h0
h
h
1. For f (x) =
1
h0 h
= lim
x2
(x + h)2
2
x2 (x + h)2
Solutions to Extra Practice for Exam 1
Math 246, Fall 2012
1. A function L models total number of desert locusts in a swarm (in millions) as a function of
the size of the swarm n (in square kilometers
University of Oregon: Math 246
Quiz 1, Jan. 7, 2011
No Calculators, Notes, or Formula Sheets. Show all your work or you may get no credit!
Do all your work on the paper provided. You have 15 minutes
1
University of Oregon: Math 246
Quiz 2, Jan. 26, 2011
No Calculators, Notes, or Formula Sheets. Show all your work or you may get no credit!
Do all your work on the paper provided. You have 15 minutes
University of Oregon: Math 246
Quiz 3, Jan. 31, 2011
No Calculators, Notes, or Formula Sheets. Show all your work or you may get no credit!
Do all your work on the paper provided. You have 15 minutes
University of Oregon: Math 246
Quiz 4, March 1, 2011
No Calculators, Notes, or Formula Sheets. Show all your work or you may get no credit!
Do all your work on the paper provided. You have 15 minutes
University of Oregon: Math 246
Test 1, Feb. 3, 2011
No Calculators, Notes, or Formula Sheets. Show all your work or you may get no credit!
Do all your work on the paper provided. You have 50 minutes
1
University of Oregon: Math 246
Test 2, Feb. 17, 2011
No Calculators, Notes, or Formula Sheets. Show all your work or you may get no credit!
Do all your work on the paper provided. You have 50 minutes
University of Oregon: Math 246
Test 3, March 3, 2011
No Calculators, Notes, or Formula Sheets. Show all your work or you may get no credit!
Do all your work on the paper provided. You have 50 minutes
Name:
Math 246 Quiz 1 10/2/12
Directions: Read each question carefully, and write your answers in the space provided. Show your work in
a clear and organized fashion when appropriate.
1. (3pts each) C
Name:
Math 246 Quiz 2 10/9/12
Directions: Read each question carefully, and write your answers in the space provided. Show your work in
a clear and organized fashion when appropriate.
f (x + x) f (x)
Name:
Math 246 Exam 1 10/23/12
Directions: Read each question carefully, and write your answers in the space provided. Show your work in
a clear and organized fashion when appropriate.
Part I: Multipl
Name:
HW #3 - Section 2.4
Math 246
Fall 2017
due in-class Tuesday 10/10
1. The height, in feet, of a toy rocket x seconds after being launched is given by: f (x) = 16x2 + 80x.
a) Use the limit definit