Calc AB Questions
AB Mock 5
A.
Use the method of cylinders to determine the volume of the solid obtained by rotating the region bounded by y=1/x, x=1/2, x=4 and the x-axis about the y-axis
7pi
Find the volume of the solid generated by revolving the area bounded by the following about the x-axis using the disk/washer and shell methods. y=sqrt(x), y=x/2
8pi/3
Where did I go to college?
Slippery Rock
This famous Greek mathematician, and author of The Elements, is known as the “Father of Geometry.”
Euclid
AB Mock 9
B.
Rotate the region bounded by x=(y−2)2, the x-axis and the y-axis about the x-axis.
8pi/3
Find the volume of the solid generated by revolving the area bounded by the following about the y-axis using the disk/washer and shell methods. y=6-x, y=3, y=0
63pi
How old am I?
23
In mathematics, the lowercase version of a certain Greek letter is used to represent the ratio of a circle's circumference to its diameter. What can the capitol version of this letter be used to represent?
A Product
AB Mock 7
D.
Rotate the region bounded by y=4x and y=x3 about the x-axis. For this problem assume that x≥0.
512pi/21
Find the surface area of the object obtained by rotating y=4+3x2 , 1≤x≤2 about the y-axis. Simplify as much as possible.
(pi/54)(1453/2-373/2)
Name my degrees and at least one of my minors.
Undergraduate: math
M.Ed: secondary ed math/science concentration
In the field of statistics, which Greek letters represent mean and standard deviation, respectively?
lowercase mu and lowercase sigma
AB Mock 6
B.
Rotate the region bounded by y=x2−6x+9 and y=−x2+6x−1 about the line x=8.
640pi/3
Find the volume of the solid generated by revolving the area bounded by the following about the line y=-1 using the disk/washer and shell methods. y=x, x=4, y=0
112pi/3
Where did I do my student teaching?
Fox Chapel
This famous German mathematician has a rival claim to Sir Issac Newton as the inventor of calculus.
Gottfried Wilhelm Leibniz
AB Mock 8
D.
Rotate the region bounded by y=ex/2/(x+2), y=5−14x, x=−1 and x=6 about the line x=−2
2pi(392/3+2e(-1/2)-2e3)
Find the volume of the solid obtained by rotating the region between y=sqrt(x) and y=x about the line y=x.
pi/30sqrt(2)
What is the name of the famous seal mascot I always draw?
Due to surface tension and air resistance, raindrops form this geometric shape as they fall.
Oblate spheroid