PRACTICE EXAM # 2 – MA 225 B1
THE ACTUAL TEST WILL BE SHORTER. THE SAMPLES HERE ARE INTENDED TO GIVE YOU
PRACTICE ON EACH TYPE OF QUESTION THAT MAY APPEAR ON THE ACTUAL TEST: THERE
MAY BE TWO QUESTIONS OF A GIVEN TYPE ON THE TEST, OR NONE.
Calculators are permitted but should not be necessary. No books or notes are permitted.
The Date of the Exam is Tuesday October 23, 2007,
The Room is COM 101
.
You will have 80
minutes (12:30–1:50).
Solutions to the inclass exam will be posted on reserve in the library. Exams will be returned graded
Tuesday, October 30, at the end of the lecture and grades posted in CourseInfo.
TYPE I
Limits and Continuity: A problem like 11.2.7 or 11.2.21 or 11.2.27 or 11.2.31.
TYPE II
1.
If
z
=
f
(
x, y
), where
x
=
r
cos
θ, y
=
r
sin
θ
, find:
(a)
∂z/∂r
(b)
∂z/∂θ
(c)
∂
2
z/∂r∂θ
.
2.
The height of a cylinder is 2 cm, and is increasing at a rate of 1 cm/s. The volume of the cylinder
is 8
π
cm
3
and is increasing at a rate of 9
π
cm
3
/s. At what rate is the radius of the base of the cylinder
increasing?
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 Fall '07
 Previato
 Calculus, Derivative, #, 1 cm, 2 cm

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