UNIVERSITY OF REGINA DEPARTMENT OF MATHEMATICS AND STATISTICS MATH 111002 200630
Midterm Test 1
Time: 50 minutes Instructor: Dr. Edward Doolittle Name: Student #: Section:
You have 50 minutes to do each of the following questions. The test is worth a tota
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MATH 111-002 200630 Quiz 5
Edward Doolittle Thursday, November 9, 2006
Please answer both of the following questions. The quiz is 20 minutes long and is out of 20. You can use the back of the sheet for rough work.
0
1. Is the improper integral value.
r
MATH 111-002 200630 Quiz 4
Edward Doolittle Thursday, October 26, 2006
Please answer both of the following questions. The quiz is 20 minutes long and is out of 20. You can use the back of the sheet for rough work. 1. Find the integral
sin4 x cos5 x dx.
1
MATH111-002 200630 Quiz 2
Edward Doolittle Thursday, September 28, 2006
You have 20 minutes to do both of the following problems. Each is worth 10 marks for a total of 20 marks for the quiz.
1
2. Find an equation of the tangent to the curve y
1. Differe
Math 111 Quiz 1 Solutions DRAFT
Edward Doolittle September 27, 2006
1. First evaluate the indefinite integral. Let u
Check by differentiating. Now evaluate the definite integral:
2. First, find the y-value of the point on the curve. When x0 y0
,
1
So the
MATH 111-002 200630 Quiz 1
Edward Doolittle Thursday, September 21, 2006
Please answer both of the following questions. The quiz is 20 minutes long and is out of 20. You can use the back of the sheet for rough work.
4
1. Evaluate the integral
0
xe3x dx
MATH 111 Problem Set 8 Solutions DRAFT
Edward Doolittle November 23, 2006
1. (a) Taking the derivative, we have
Squaring, we have
It follows that 1 so y
2
x2
x
2
2
2
(b) The hard way. We have y
2 1 2
4
x
so
0
We continue with the partial fractions decompo
MATH111-002 200630 Problem Set 5 Solutions DRAFT
Edward Doolittle October 30, 2006
1. (a) Make the substitution x 4 sec , dx
Now making the change of variables u 1 16
sin , du 1 u3 16 3 4
cos d, C
By the right triangle with sides A O H
x2
16 x , sin
x2 1
MATH 111 Problem Set 4 Solutions
Edward Doolittle October 24, 2006
You should check the answer by differentiating.
Again, you should check the answer by differentiating. (c) Following the usual trick for evaluating the integrals of inverse trig functions,
MATH 111 Problem Set 4
Edward Doolittle Quiz: Thursday, October 26, 2006
The following problems may appear on the quiz on Thursday, October 26. The last two are more difcult, as usual. 1. Evaluate the following indenite integrals by integration by parts:
MATH 111 Problem Set 3 Solutions DRAFT
Edward Doolittle October 16, 2006
1. (a) In a right triangle with angle sin 1 4 5 , the opposite side O and hypoteneuse H are 4 and 5 units respectively. Then the adjacent side A 52 42 9 3 units. Then sec sin 1 4 5 s
Math 111 Problem Set 2 Solutions
Edward Doolittle September 27, 2006
2.
(a) Exponentiating both sides,
(b) Taking the log base 2 of both sides,
log2 23x
4
log2 10
3x
Since there is no log2 button on my calculator I have to use the chain rule for
UNIVERSITY OF REGINA DEPARTMENT OF MATHEMATICS AND STATISTICS MATH 111002 200630
Sample Midterm Test 2
Time: 50 minutes Instructor: Dr. Edward Doolittle Name: Student #: Section:
You have 50 minutes to do each of the following questions. Please check your