Math 121, Test 2 (Version 1], October 27, 2010
Name: ll-11; i: Aniler
Instructions. Do each of the following 11 problems. Each problem is worth Epts. Show all
appropriate details in your solutions. Please indicate nal answers clearly1 and 1mite exact
an
Math 121, Test 1 (Version 2), 13 October 2010
Name.
Hints and Answers
Instructions. Do 12 of the following 13 problems. Each problem is worth 5pts. You must
show all appropriate details in your solutions. Give exact (and simplied) answers unless you
are a
Math 121, Test 1 (Version 1), 13 October 2010
Name:
Instructions. Do 12 of the following 13 problems. Each problem is worth 5pts. You must
show all appropriate details in your solutions. Give exact (and simplied) answers unless you
are asked to round. You
Math 121, Matrix Addition and Multiplication, 10 November 2010
(Hints and Answers)
0 3
,B=
1 3
Exercise 1. Let A =
2 1
3
1
4
, and C =
0
1 1
4
.
2 5 3
(a) Find a12 , b23 and c21 .
(b) Find the following or state why the operation is not possible: A + B, B
Math 121, Class Exercises, 11 November 2010
(Hints and Answers)
2
1
1. Find the inverse of A =
3
Answer. The inverse, if
2 3 3 1
1 1 2 0
3 3 7 0
3
1
3
3
2 , if it exists.
7
it exists, is computed as follows
0 0
1
1 0 swap R1 and R2 2
0 1
3
1 1
0 1
2R1
Math 121, Test 1 (Version 2), 13 October 2010
Name.
Instructions. Do 12 of the following 13 problems. Each problem is worth 5pts. You must
show all appropriate details in your solutions. Give exact (and simplied) answers unless you
are asked to round. You
Math 121, In-class Practice, 3-November-2010
(Hints and Answers)
1. The polynomial F (x) = an xn + . . . + a1 x + a0 has degree n and its graph is given to the left above.
(a) Use the long term behavior of F (which is up to the far left and down to the fa
Math 121, Practice 2, October 6, 2010
Names:
Hints and Answers
1. (a) The maximum load that a cylindrical column of circular cross section can support varies
directly as the fourth power of diameter and inversely as the square of its height. Write an equa
Math 121, Test 1 (Version 1), 13 October 2010
Name:
Hints and Answers
Instructions. Do 12 of the following 13 problems. Each problem is worth 5pts. You must
show all appropriate details in your solutions. Give exact (and simplied) answers unless you
are a
Math 121, Questions from a Previous Test 4
November 29, 2010 (Answers)
1. The product CD exists and has size 7 by 8.
2. There is a unique solution when k 2 9 = 0, and so when k = 3.
3. When k = 2, 5z = 10 and so z = 2. Then y + 2 = 4 and so y = 2, and x 3
Math 121, Practice Questions, October 21
Hints and Answers
1. Let f (x) = 3x2 + 4x 5. Find and simplify the dierence quotient of f .
Answer: The dierence quotient is
f (x + h) f (x)
3(x + h)2 + 4(x + h) 5 (3x2 + 4x 5)
=
h
h
3(x2 + 2xh + h2 ) + 4x + 4h 5 3
Math 121, Test 3, 3 November 2009
Name:
Instructions. Do each of the following eleven questions. Show all of your work, and indicate
answers clearly.
1. Use long division to nd (2x3 3x + 1) (x2 + 1).
(b) Based on you answer to (a): does F (x) = (2x2 3x +
Math 121, Test 3 (Version 2) 3 November 2009
Name:
Instructions. Do each of the following eleven questions. Show all of your work, and indicate
answers clearly.
1.(a) Use long division to nd (2x3 3x + 1) (x2 x).
(b) Based on you answer to (a): does F (x)
Math 121, Test 4 (Version 1), November 17, 2009
Name:
Instructions. Do each of the following questions. The rst ve question are worth 2 points
each, and the last eight questions are worth 5 points each. You must show all appropriate
work and indicate nal
Math 121, Practice Questions for Final Hints and Answers Note. In all questions b > 0 and b = 1 where b is an exponential or logarithmic base. 1. Determine whether the following functions are inverse functions. If they are inverse functions, sketch the bo
Math 121, Test 3, November 4, EDDIE
Home: r I rtzil- l J Mir-1-
Instructions. Do each of the following twelve questions. Show all of your work.
1. Use synthetic division to nd [m4 3:1:2 + 25': + 1} + (a: 3}.
X31 Exl-f- 6K 1* 2'1: "r
If
2. Let Ffr
Math 121, Test 2 (Version 2), October 21, 2009
Name:
Hints and Answers
Instructions. Do each of the following 12 problems. Each problem is worth 5pts. Show all
appropriate details in your solutions. Please indicate nal answers clearly, and write exact
ans
Math 121, Test 2 (Version 1), October 21, 2009
Name.
Hints and Answers
Instructions. Do each of the following 12 problems. Each problem is worth 5pts. Show all
appropriate details in your solutions. Please indicate nal answers clearly, and write exact
ans
Math 121, Test 1 (Version 2), 7 October, 2009
Name:
Hints and Answers
Instructions. Do each of the following 13 problems. Each problem is worth 5pts. You must
show all appropriate details in your solutions. Give exact (and simplied) answers unless you
are
Math 121, Practice for Test 4 Hints and Answers 1. (a) (3, 1) (b) ( 3 c, c) 5 (c) No solution.
2. Let b be the rate of the boat, and c be the rate of the current. This leads to equations 4(b + c) = 120 and 4(b c) = 120. Upon solving, one nds that the rate
Math 121, Practice Questions for Final
Hints and Answers
Note. In all questions b > 0 and b = 1 where b is an exponential or logarithmic base.
1. Determine whether the following functions are inverse functions. If they are inverse functions, sketch the bo
Math 121, Test 1 (Version 1), 7 October, 2009
Name:
Hints and Answers
Instructions. Do each of the following 13 problems. Each problem is worth 5pts. You must
show all appropriate details in your solutions. Give exact (and simplied) answers unless you
are
Math 121, Test 4 (Version 2), November 17, 2009
Name:
Instructions. Do each of the following questions. The rst ve question are worth 2 points
each, and the last eight questions are worth 5 points each. You must show all appropriate
work and indicate nal
Math 121: In-Class Exercises, 7 October 2010
Name:
Hints and Answers
1. Find the center and radius of the circle whose equation is x2 + y 2 + 6x 4y = 3.
Answer: We solve this by completing squares to write the equation in standard form:
x2 + 6x + 32 + y 2
Math 121, Practice 1, October 5, 2010
Names:
Hints and Answers
x+5
3. Explain why we cant just multiply both sides by (x 1)
x1
to solve this. Write answer in set-builder and interval notation.
1. Solve the inequality
Answer. Depending on the value of x,