MATH 126
Gateway Exam 1
Page 1 of 3
Name
Directions: Write a complete solution to each of the following problems. Please write
legibly and coherently. The use of calculators are not permitted on this exam. There is no
partial credit on gateway exams.
1. C
Calculus II
MATH 126
Quiz 4
Name
1. Calculate the volume of the solid generated by revolving the region bounded by the curves y = x2 and
y = 2x about the y -axis.
2. Calculate the volume of the solid generated by revolving the region bounded by the curves
Calculus II
MATH 126
Quiz 3
Name
1. Calculate the denite integral
1
0
5r
dr
(4 + r2 )2
2. Calculate the area of the region bounded by the curves y = (1 cos x) sin x and y = 0.
Calculus II
MATH 126
Quiz 2
Name
1. Calculate the derivatve of the function
x2
sin2 (t2 ) dt
A( x ) =
2
2. Calculate the area under the curve y = sin(x) over the interval
5
6, 6
.
Calculus II
MATH 126
Quiz 1
Name
1. Evaluate the sum
12
(2k )
k=1
2. Which two sums are equivalent? Justify your answer.
4
(a)
k=2
(1)k1
k1
2
(b)
k=0
(1)k
k+1
1
(c)
k=1
(1)k
k+2
MATH 126 Gateway Exam 1 Page 1 of 3
Name 5;! lgzl§ca
Directions: Write a complete solution to each of the following problems. Please write
legibly and coherently. The use of calculators are not permitted on this exam. There is no
partial credit on gatew
MATH 126
Test 1
Page 1 of 4
Name
Directions: Write a complete solution to each of the following problems. Please write
legibly and coherently. The use of calculators is not permitted on this exam.
1. Calculate the following denite and indenite integrals
(