FE Mechanical Practice Problems
A circular sector has a radius of 8 cm and an arc length of 13 cm. What is its area?
(A) 48 cm^2
(B) 50 cm^2
(C) 52 cm^2
(D) 60 cm^2
1-2 PP - ------------ANS: C
A particle moves in the x-y plane. After t s, the x-coordinates and y-coordinates of
the particle's location are x = 8sin(t) and y = 6cos(t). Which of the following equations
describes the path of the particle?
(A) 36x^2 + 64y^2 = 2304
(B) 36x^2 -64y^2 = 2304
(C) 64x^2 + 36y^2 = 2304
(D) 64x^2 - 36y^2 = 2304
1-2 PP - ------------ANS: A
A peach grower estimates that if he picks his crop now, he will obtain 1000 lugs of
peaches, which he can sell at $1.00 per lug. However, he estimates that his crop will
increase by an additional 60 lugs of peaches for each week that he delays picking,
but the price will drop at a rate of $0.025 per lug per week. In addition, he will
experience a spoilage rate of approximately 10 lugs for each week he delays. In
order to maximize his revenue, how many weeks should he wait before picking the
peaches?
,(A) 2 weeks
(B) 5 weeks
(C) 7 weeks
(D) 10 weeks
3-2 - ------------ANS: D
A pipe with a 20 cm inner diameter is filled to a depth equal to one-third of its
diameter. What is the approximate area in flow?
(A) 33 cm^2
(B) 60 cm^2
(C) 92 cm^2
(D) 100 cm^2
1-2 PP - ------------ANS: C
A two-dimensional function f(x, y), is defined as
f(x, y) = 2x^2 - y^2 + 3x - y
What is the direction of the line passing through the point (1, -2) that has a maximum
slope?
(A) 4i + 2j
, (B) 7i + 3j
(C) 7i + 4j
(D) 9i - 7j
3-2 - ------------ANS: D
Determine the following indefinite integral.
integral (x^2 + x + 4) / (x^2) dx
(A)
(B)
(C)
(D)
3-2 - ------------ANS: D
Evaluate the following limit.
lim (x^2 - 4) / (x - 2)
x-> 2
(A) 0
(B) 2
A circular sector has a radius of 8 cm and an arc length of 13 cm. What is its area?
(A) 48 cm^2
(B) 50 cm^2
(C) 52 cm^2
(D) 60 cm^2
1-2 PP - ------------ANS: C
A particle moves in the x-y plane. After t s, the x-coordinates and y-coordinates of
the particle's location are x = 8sin(t) and y = 6cos(t). Which of the following equations
describes the path of the particle?
(A) 36x^2 + 64y^2 = 2304
(B) 36x^2 -64y^2 = 2304
(C) 64x^2 + 36y^2 = 2304
(D) 64x^2 - 36y^2 = 2304
1-2 PP - ------------ANS: A
A peach grower estimates that if he picks his crop now, he will obtain 1000 lugs of
peaches, which he can sell at $1.00 per lug. However, he estimates that his crop will
increase by an additional 60 lugs of peaches for each week that he delays picking,
but the price will drop at a rate of $0.025 per lug per week. In addition, he will
experience a spoilage rate of approximately 10 lugs for each week he delays. In
order to maximize his revenue, how many weeks should he wait before picking the
peaches?
,(A) 2 weeks
(B) 5 weeks
(C) 7 weeks
(D) 10 weeks
3-2 - ------------ANS: D
A pipe with a 20 cm inner diameter is filled to a depth equal to one-third of its
diameter. What is the approximate area in flow?
(A) 33 cm^2
(B) 60 cm^2
(C) 92 cm^2
(D) 100 cm^2
1-2 PP - ------------ANS: C
A two-dimensional function f(x, y), is defined as
f(x, y) = 2x^2 - y^2 + 3x - y
What is the direction of the line passing through the point (1, -2) that has a maximum
slope?
(A) 4i + 2j
, (B) 7i + 3j
(C) 7i + 4j
(D) 9i - 7j
3-2 - ------------ANS: D
Determine the following indefinite integral.
integral (x^2 + x + 4) / (x^2) dx
(A)
(B)
(C)
(D)
3-2 - ------------ANS: D
Evaluate the following limit.
lim (x^2 - 4) / (x - 2)
x-> 2
(A) 0
(B) 2
