ENGR0135 - Statics and Mechanics of Materials 1 (2141)
Homework #1
Due: 9/4(daytime sections) or 9/3(evening section)
1. Two spherical bodies weigh 500 lb and 1500 lb at the Earths surface. Determine
Math 240 Analytical Geometry and Calculus III Practice Final Exam April 24, 2006 Name (Print): Circle the name of your instructor: Dimitric Athanas Hales
Instructions: 1. Show all your work on the exa
Exam 1 Review:
You should not assume that the rst midterm exam will resemble this review sheet. The
problems below were chosen because they seemed interesting or because they illustrated an
important
Exam 1 Review:
You should not assume that the rst midterm exam will resemble this review sheet. The
problems below were chosen because they seemed interesting or because they illustrated an
important
MATH 0240 Midterm Examination I Sample 1
This test consists of 11 problems. All work must be shown in order to
get credit. Please write legibly and explain your logic by words whenever
appropriate. If
MATH 0240 Midterm Examination I Sample 3
This test consists of 10 problems. All work must be shown in order to
get credit. Please write legibly and explain your logic by words whenever
appropriate. If
MATH 0240 Midterm Examination I Sample 2 - ANSWERS
Problem 1.
2
Problem 2. 10x + 3y = 16
Problem 3. a) (0, 0), (0, 2), and (1/2, 2)
b) All three points are saddles.
Problem 4. Maximum:
Problem 5.
f
x
MATH 0240 Midterm Examination I Sample 2
This test consists of 10 problems. All work must be shown in order to
get credit. Please write legibly and explain your logic by words whenever
appropriate. If
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Sc
MATH 0240 Final Examination Sample 6 - ANSWERS
Problem 1. ( 3 , 3 2 3 , 3)
2
Problem 2. There are 6 possible correct answers. One of the possible
answers is:
y
z
1 (22x) (1 2 3 )
dz dy dx
0
0
0
Proble
MATH 0240 Final Sample Exam 6
Problem 1. Find the points on the cone z 2 = x2 + y 2 closest to the point
(1, 3, 4).
Problem 2. Express the volume of the tetrahedron with vertices at
points (0, 0, 0),
MATH 0240 Final Examination Sample 5 - ANSWERS
Problem 1. (1): x + y z = 1;
(2): 23 .
Problem 2. w = fx sin cos + fy sin sin + fz cos
w
= fx cos cos + fy cos sin fz sin
w
= fx sin sin + fy sin cos
MATH 0240 Midterm Examination II Sample 1
This test consists of 10 problems. All work must be shown in order to
get credit. Please write legibly and explain your logic by words whenever
appropriate. I
MATH 0240 Midterm Examination II Sample 1 - ANSWERS
20
Problem 1. 8 , 49 .
7
Problem 2.
4
.
15
Problem 3. 10.
Problem 4.
Conservative; f (x, y) = xy 2 cos(2x) (you can add any constant)
Problem 5.
1y
MATH 0240 Midterm Examination II Sample 2
This test consists of 11 problems. All work must be shown in order to
get credit. Please write legibly and explain your logic by words whenever
appropriate. I
MATH 0240 Midterm Examination I Sample 3 - ANSWERS
3
Problem 1. < e 1, 0, 3 >
3
Problem 2. < t, t6 + t, 1 >
Problem 3. 0 and
3
2
Problem 4. z 75 = 32(x 4) + 48(y 2)
Problem 5. 2/5
Problem 6. 60x2 y 3