MTH 141 Applied Calculus
Exam 3 - Chapter 3 (Sections 3.5 to 3.7)
Name (Print):_Solutions_Show Work
_
1. (4.5 points) Find the number of units x that produces a maximum revenue R, where R = 400x x2
So
Worksheet: Section 3.1: Limits from graphs: ANSWERS
1. The following represents a graph of a function y = g(x).
Find the following limits.
(a) lim g(x) = 3.5
x3
(b) lim+ g(x) = 6
x3
(c) lim g(x), does
Worksheet: Section 2.3: Integral EstimatesReimann Sums : ANSWERS
0
1. Determine the Riemann Sum for 4 x2 + 1 dx using n = 4 subintervals. Use evaluation at the right end of
the subintervals, then eval
Worksheet: Section 3.4: Limits at Points of Possible Discontinuity: ANSWERS
1.
lim 2x3
x3/2 4x6
2(3/2)3
Evaluation at x = 3/2: 4(3/2)6
= 00 .
Divide out (x 3/2) or , using the denominator of the fract
Worksheet: Chapter 2 Section 2: Answers
1. Sketch the curves y = x3 3 and y = 2. Calculate the area bounded between the curves from x = 0 to x = 1.
Area:
5(0)
4
0
4
=
h
1
1
2 x3 3 dx = 0 5 x3 dx = 5x
Eviath M1 Appiied Calculus Name _ _ _
Worksheet I R\ Row/ Column _
SKETCHNG LINEAR AND QUADRATIC GRAPHS
1. Sketch the graphs beiow. Do not plot points, but use hatch marks on the axes.
a.)y:4 b.)X:3
Chapter 7. The Mexican Explosion
The struggles for political voice and economic space that
characterized Latin America at the turn of the century were not
resolved at the electoral polls in Mexico. Me
Chapter 10. Debt and Dictatorship
The central dynamic of Latin American history in the late twentieth
century was the tension between equity and efficiency, democracy
and dictatorship. Leaders searche
Chapter 8. From World Wars to Cold War
While Mexico dealt with its domestic divisions, the entire region
was buffeted by a series of international shocks: World War I
(19141918), the Great Depression
Chapter 11. Forward Into the Past
In December 2000, the volcano Popocatpetl erupted in Mexico. It
was the worst eruption in 500 years. "In Mexican culture, Popo's
activity represents a premonition of
Chapter 5. The Emergence of the Modern State
By the late nineteenth century, the chaos of the early independence
years gave way to the emergence of a new political stability and
economic prosperity. F
Chapter 6. New Actors on an Old Stage
As Latin America approached its independence centennial, two
trends, one of external and the other of internal origin, emerged
with greater clarity. The first was
Worksheet: Section 3.3: Concepts of Infinity and Division by Zero: ANSWERS
For the following (conceptual) forms, state whether they are determinate or indeterminate. In the case they are
determinate,
Worksheet: Chapter 5 Section 2: Extrema and the First Derivative Test:
ANSWERS
2
1. Find any relative extrema (x, y) for the function f (x) = x2 3x.
f 0 (x) = x 3, 0 = x 3, x = 3. There is one critica
MTH 141 Applied Calculus
Exam 3 - Chapter 3 (Sections 3.1 to 3.4)
Name (Print):_Solutions_Show Work
_
1. (3 + 4 points) Find the critical numbers and the open intervals on which the function is increa
MTH 141 Applied Calculus
Exam 3 - Chapter 2 (Sections 2.5 to 2.7)
Name (Print):_Solutions_Show Work
_
1. (3 points) Let y = (x5 + 7x2 + 3 x3 + 6)8 . Find f (x) and g (x) such that y = f (g (x).
Soluti
MTH 141 Applied Calculus
Exam 1 (Chapter 1) - Spring 2007
Name (Print):_Solutions_Show Work
_
1. (1.5 + 1.5 + 2 points) Find the domains of the following functions. Write your answer in the interval
f
MTH 141 Applied Calculus
Exam 2 - Chapter 2 (Sections 2.1 to 2.4)
Name (Print):_Solutions_Show Work
_
1. (5 points) Let f (x) = 2x 7. Use the limit denition to nd the derivatives of f.
Solution:
f 0 (
MTH 141 Applied Calculus
Exam 5 - Chapter 5
Name (Print):_Show Work
_
1. (2+2+2.5+2.5 points) Find the indenite integral.
R
(a) 4x3 dx
Solution:
Z
x3+1
x4
4x3 dx = 4
+ c = 4 + c = x4 + c
3+1
4
R
(b) x
MTH 141 Applied Calculus
Exam 1 (Chapter 1) - Fall 2006
Name (Print):_Solutions_Show Work
_
1. (2 + 2 points) Find the x and y intercepts of the following graphs.
(a) y = x2 4x + 3
Solution: To nd the
MTH 141 Applied Calculus
Exam 3 - Chapter 3 (Sections 3.5 to 3.7)
Name (Print):_Solutions_Show Work
_
1. (3.5 points) Find the number of units x that produces a maximum revenue R, where R = 48x2 0.02x
MTH 141 Applied Calculus
Exam 3 - Chapter 3 (Sections 3.1 to 3.4)
Name (Print):_Solutions_Show Work
_
1. (3 + 4 points) Find the critical numbers and the open intervals on which the function is increa
MTH 141 Applied Calculus
Exam 3 - Chapter 2 (Sections 2.5 to 2.8)
Name (Print):_Solutions_Show Work
_
1. (3 points) Let y = (2x2 5 x + 6)6 . Find f (x) and g (x) such that y = f (g (x).
Solution: f (x
MTH 141 Applied Calculus
Exam 2 - Chapter 2 (Sections 2.1 to 2.4)
Name (Print):_Solutions_Show Work
_
1. (5 points) Let f (x) = x2 + 5. Use the limit denition to nd the derivatives of f.
Solution:
)
l
The Revolutionary Option > Cuba
[Page 230]
Chapter 9. The Revolutionary Option
By the late 1950s, much of the promise of development and
democracy seemed hollow. In most nations and for major segments