MATH124 CALCULUS II for Engineers
Midterm 1
(50 pts)
Please print names and IDs in ink :
Course Section:
February 11, 2009
NSID:
Family Name:
First Name:
Student ID:
INSTRUCTIONS:
1. Time Limit: 80 mi
MATH124 CALCULUS II for Engineers
Lab Section:
Solution Key for Midterm 2 (50 pts)
1. (4 pts) Find the area of the bounded region determined by the equations x = y(1y) and x = 3y(1y).
Take horizontal
MATH124 CALCULUS II for Engineers
Quiz 4
(12 pts)
February 11, 2015
Please print names and IDs in ink :
Family Name:
NSID:
First Name:
INSTRUCTIONS:
Lab Section: L
1. Time Limit: 30 minutes
2. No chea
Title : Mar 3-11:28 AM (Page 1 of 16)
Title : Mar 3-11:34 AM (Page 2 of 16)
Title : Mar 3-11:41 AM (Page 3 of 16)
Title : Mar 3-11:48 AM (Page 4 of 16)
Title : Mar 3-11:53 AM (Page 5 of 16)
Title : Ma
Title : Mar 5-11:32 AM (Page 1 of 18)
Title : Mar 5-11:37 AM (Page 2 of 18)
Title : Mar 5-11:41 AM (Page 3 of 18)
Title : Mar 5-11:43 AM (Page 4 of 18)
Title : Mar 5-11:50 AM (Page 5 of 18)
Title : Ma
Title : Jan 6-11:32 AM (Page 1 of 26)
Title : Jan 6-11:46 AM (Page 2 of 26)
Title : Jan 6-11:51 AM (Page 3 of 26)
Title : Jan 6-11:56 AM (Page 4 of 26)
Title : Jan 6-12:06 PM (Page 5 of 26)
Title : Ja
MATH124 CALCULUS II for Engineers
Lab Section: L
Solution Key for Quiz 8 (12 pts)
x2 x + 2
dx.
x4 + x2
1. (4 pts) Evaluate the indenite integral
x2 x + 2
x2 x + 2
Cx + D
A
B
= 2 2
= + 2+ 2
4 + x2
x
x
MATH124 CALCULUS II for Engineers
Solution Key for Quiz 3
(12 pts)
n
b
1. (4 pts) Use equation
Lab Section: L
f (x) dx =
f (x ) xi , to evaluate the denite integral
i
lim
xi 0
a
i=1
3
(x2 2x) dx. For
MATH124 CALCULUS II for Engineers
Solution Key for Quiz 6
Lab Section: L
(12 pts)
1. (4 pts) Find the centroid of the region bounded by the curves y = x2 and y =
1
A=
0
2 x3
( x x2 ) dx = x3/2
3
3
1
MATH124 CALCULUS II for Engineers
Solution Key for Quiz 6
0
1. (4 pts) Determine whether the integral
Lab Section: L
(12 pts)
10x3
dx converges or diverges. If it converges nd
+ 5)6
(x4
its value.
0
1
MATH124 CALCULUS II for Engineers
Lab Section: L
Solution Key for Quiz 2 (12 pts)
1x
dx. Suggested substitution y = x.
x+x
1. (4 pts) Evaluate the indenite integral
If y =
x, then y 2 = x and 2y dy =
MATH124 CALCULUS II for Engineers
Lab Section: L
Solution Key for Quiz 5 (12 pts)
1. (4 pts) If the force of a crossbow (in Newtons) is proportional to the draw (in metres), i.e. F = kx,
and it is 240
MATH124 CALCULUS II for Engineers
Lab Section: L
Solution Key for Quiz 1 (12 pts)
1. (4 pts) Under adiabatic expansion, a gas obeys the law P V 7/5 = a constant, where P is the pressure
and V is volum
MATH124 CALCULUS II for Engineers
Lab Section:
Solution Key for Midterm 1 (50 pts)
Part 1. Handwritten Answers.
Write down the solution to the following problem, giving all necessary details, in the s
MATH124 CALCULUS II for Engineers
Lab Section:
Solution Key for Midterm 2 (50 pts)
Part 1. Handwritten Answers.
Write down the solution to the following problem, giving all necessary details, in the s
Title : Mar 24-11:27 AM (Page 1 of 12)
Title : Mar 24-11:34 AM (Page 2 of 12)
Title : Mar 24-11:41 AM (Page 3 of 12)
Title : Mar 24-11:46 AM (Page 4 of 12)
Title : Mar 24-11:53 AM (Page 5 of 12)
Title
Title : Jan 13-11:25 AM (Page 1 of 26)
Title : Jan 13-11:32 AM (Page 2 of 26)
Title : Jan 13-11:36 AM (Page 3 of 26)
Title : Jan 13-11:44 AM (Page 4 of 26)
Title : Jan 13-11:50 AM (Page 5 of 26)
Title
Title : Apr 7-11:35 AM (Page 1 of 9)
Title : Apr 7-11:42 AM (Page 2 of 9)
Title : Apr 7-11:44 AM (Page 3 of 9)
Title : Apr 7-11:47 AM (Page 4 of 9)
Title : Apr 7-11:53 AM (Page 5 of 9)
Title : Apr 7-1
Title : Jan 20-11:30 AM (Page 1 of 22)
Title : Jan 20-11:35 AM (Page 2 of 22)
Title : Jan 20-11:39 AM (Page 3 of 22)
Title : Jan 20-11:47 AM (Page 4 of 22)
Title : Jan 20-12:01 PM (Page 5 of 22)
Title
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 7 (12 pts)
1. (2 pts) Simplify and find the exact value of this expression:
3 a
log b
1
8
3 a
b
loga a3 = loga 3 a 3 = 3 =
=
l
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 3 (12 pts)
11
1. (3 pts) Find the value of sin
.
12
11
11
sin
= sin
since sin is an odd function.
12
12
11
= sin
= sin
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 9 (12 pts)
1. (6 pts) A rectangle with sides parallel to the coordinate axes is inscribed in the ellipse
x2 + 4y 2 = 4. Find the l
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 6 (12 pts)
1. (3 pts) A snowball is melting. By approximately what percentage will the radius of
4
the snowball decrease when the