Review problems for the Final
The Final will be Thursday, December 10, 8:30-11:30 AM in McConomy Auditorium
Most of the problems on this list have appeared on previous review lists. Areas between curv
Math 120 Solutions to Homework #6 Problems from Pages 131-133 (Section 2.7) 26. The situation described on page 132 is illustrated below.
Winter 2009
100
L
!
x (t )
In this problem we are given the de
Math 120
Winter 2009
Solutions to Homework #7
Problems from Pages 173-175 (Section 3.4)
2.
If we use P(t) to represent the number of bacteria after t hours. As the population
doubles every 20 minutes,
Math 120 Solutions to Homework #10 Problems from Pages 232-236 (Section 4.5) 40.
Winter 2009
In this problem, we will let x represent the number of $10 price rises that the apartment manager makes. If
Math 120 Solutions to Homework #9 Problems from Pages 232-236 (Section 4.5) 10.
Winter 2009
In this problem, we will make the assumption that the amount of material used to construct the box is direct
Questions for Quiz 8:
1. Determine the antiderivative of f (x) =
1
x
which passes through the point (1, 12).
2. Determine the antiderivative of g(x) = cos(x) which passes through the point (, 2).
3. D
Questions for Quiz 6:
Four of these questions involve theorems. Some of these theorems, especially the Mean
Value Theorem and the Extreme Value Theorem, will come up later. Master them for the
long te
Questions for Quiz 7:
1. Suppose that a dierentiable function f satises f (8) = 24 and |f (x)| 3. What is
the smallest value that f (2) can have?
2. Is it possible for a dierentiable function f to sat
21-120 Dierential and Integral Calculus
Quiz questions for Fall 2014:
Questions for Quiz 2:
5
1. If sec() = , determine sin(2).
3
2. Determine the equation of the line through (2, 5) and perpendicular
Math 120 Solutions to Homework #2 Problems from Pages 8-10 (Section 1.1) 46.
Winter 2009
The rectangle in question is shown below with length l and width w.
l
w
The perimeter of the rectangle is: P =
Math 120 Solutions to Homework #1 Problems from Pages 8-10 (Section 1.1) 2.
Winter 2009
(a) Reading the y-values from the graph we can say that f(-4) = -2 and g(3) = 4. (b) The values of x at which f(
Logarithmic differentiation: Section 3.3 nos. 49-54.
Go study! Do the review problems and read the book. There will be
office
hours today(Sunday) at 4:30 if you need help. And I listed some of the
thi
Department of Mathematical Sciences
CARNEGIE MELLON UNIVERSITY
21-120 Differential and Integral Calculus, 10 units, Fall, 2009
Instructor: Dr. Russ Walker, Wean Hall 6219, ext. 8-9657, [email protected]
21-120 Assignment for 10/23:
!
1. Differentiate: f (x) = sin1 e2x
"
2. Differentiate: g(x) = sec(2x)tan(x)
3. Suppose that a differentiable function f satisfies |f " (x)| 3 and f (2) = 3. Then what
is
Review for Test 1
Test 1 will be Wednesday, September 23.
Here are the objectives for the test:
Be able to differentiate functions involving algebraic and trigonometric functions
including implicit di
21-120 Test 2 will be Monday, October 26.
At 8:30 Section C will take the test in PH 125C. Sections A, B and D will take it in Wean
7500.
At 9:30 Section E will take the test in SH 214. Sections F, G
Review questions for Test 3
Test 3 will on Wednesday, November 18
1. Applied Extrema: Remember that you should verify that your answer is a maximum or
minimum as required, and provide a statement of y
Math 120
Winter 2009
Solutions to Homework #3
Problems from Pages 33-35 (Section 1.3)
6.
The graph of the function f(x) that was defined in pieces is shown below.
y
4
3
2
1
-4
-3
-2
-1
1
2
3
4
x
-1
-2
Math 120 Solutions to Homework #4 Problems from Pages 80-83 (Section 2.1) 4.
Winter 2009
The slope of the tangent line is given by the derivative of y evaluated at the point x = 1. The calculation of
21-120 Dierential and Integral Calculus
Quiz questions for Fall 2014:
Questions for Quiz 3:
Factor out any common factors from your answers:
1. Determine the derivative: f (x) = (x2 + 4x + 2)6
2. Dete