Friday, January 18
Clicker Questions
Clicker Question 1
That’s a weird lookin’ thing . . .
What is this a graph of?
4Π
A. x = sin y
3Π
B. y = sec x
C. y = tan x
2Π
D. x = cos y
Π
E. y = csc x
1
-1
-Π
-2 Π
Clicker Question 2
Solid of revolution
What is the general formula for the volume of the solid formed
by rotating, around the x-axis, the graph of y = f (x) between
x = a and x = b? (Assume f (x) ≥ 0.)
Z
b2
π(f (x))2 dx
A.
a2
Z
b
B.
πf (x) dx
a
Z
b
π(f (x))2 dx
C.
a
Z
b2
D.
πf (x) dx
a2
E. none of the above
Clicker Question 3
Another formula from geometry
What is the area of
an annulus with
outer radius R and
inner radius r?
R
r
A. π(R − r)2
C.
1
2 πRr
D.
B.
1
2 π(R + r)
π(R2 − r2 )
E. none of the above