N/A

Question 1

Set 4 Problem 50: Given two intersecting chords AC and BD of a circle. If arc AD=30° and arc BC=20°, find the acute angle between the chords AC and BD.

Answer 1

25° (p.67)

Question 2

Set 6 Problem 8: If cosA=1/3 and cotA is negative, find the value of cscA.

Answer 2

Equation 6.1 (p.95)

Question 3

Set 6 Problem 37: Find the equation of a sphere with center at (3, 2, -4) and tangent to the plane x+2y-3z+9=0.

Answer 3

x²+y²+z²-6x-4y+8z=27 (p.99)

Question 4

Set 6 Problem 44: Find the period of y=4sin2x.

Answer 4

pi (p.101)

Question 5

Set 6 Problem 45: Find the amplitude of y=4sin2x.

Answer 5

4 (p.101)

Question 6

Set 6 Problem 53: Find the value of B in the given fraction and its partial fractions.

Answer 6

-1 (p.102)

Question 7

Set 6 Problem 58: A hemispherical tank with radius 4 ft is full of oil weighing 50 pounds per cubic foot. Find the work done in ft-tons in pumping the oil to the top of the tank.

Answer 7

5.03 ft-tons (p.103)

Question 8

Set 6 Problem 74: A plane region is bounded by y^2=4x, x-0, and y=4. How far is the centroid of this region from the y-axis?

Answer 8

1.20 (p.106)

Question 9

A cell phone company estimates that the cost (in dollars) in producing x units is given by C(x)=2,600+2x+0.001x^2.
Set 7 Problem 11: What is the average cost in producing 1000 items?

Answer 9

$5.60 (p.113)

Question 10

A cell phone company estimates that the cost (in dollars) in producing x units is given by C(x)=2,600+2x+0.001x^2.
Set 7 Problem 12: What is the marginal cost of producing 2,000 units?

Answer 10

$6 (p.113)

Question 11

A cell phone company estimates that the cost (in dollars) in producing x units is given by C(x)=2,600+2x+0.001x^2.
Set 7 Problem 13: At what production level will the average cost be lowest?

Answer 11

1,612 units (p.113)

Question 12

Set 8 Problem 39: What is the back azimuth of a line having a forward azimuth of 68deg?

Answer 12

248deg (p.134)

Question 13

Given the equation of the curve: y=(2x-1)/(x+2).
Set 8 Problem 52: Compute the equation of the horizontal asymptote of the curve.

Answer 13

y=2 (p.136)

Question 14

Given the equation of the curve: y=(2x-1)/(x+2).
Set 8 Problem 53: Compute the equation of the vertical asymptote of the curve.

Answer 14

x=-2 (p.137)

Question 15

Given the equation of the curve: y=(2x-1)/(x+2).
Set 8 Problem 54: What is the y-intercept of the curve?

Answer 15

y=-1/2 (p.137)

Question 16

Set 9 Problem 16: Engr. John Ferri, who is always in a hurry, walks up an up-going escalator at the rate of one step per second. Twenty four steps bring him to the top. Next day he goes up at two steps per second, reaching the top in 36 steps. How many steps are there in the escalator?

Answer 16

72 (p.147)

Question 17

Set 9 Problem 19: The base of a solid is a circle of radius 5 ft. Find the volume if every section perpendicular to a fixed diameter of the base is a square with one side on the base.

Answer 17

666.67 (p.148)

Question 18

Set 9 Problem 20: The number of bacteria in a certain culture grows at a rate which is exactly 3/4 the number present. If there are 10,000 bacteria initially, find the number at any time (t).

Answer 18

Equation 9.1 (p.148)

Question 19

Set 9 Problem 30: If the edge of a cube is increased by 20% by how much is the volume increases?

Answer 19

72.8% (p.150)

Question 20

Set 9 Problem 31: An ambulance travels on a busy highway having the same rate of traffic flow in each direction. Except for the ambulance, the traffic moving at the legal speed limit. If the ambulance passes one car for every nine which he meets from the opposite direction, by what percentage does it exceeding the speed limit? Assume the cars have the same distances from each other.

Answer 20

25% (p.150)

Question 21

Set 9 Problem 71: A wall 8 ft high is 12 ft from a house. Find the length of the shortest ladder that will reach the house, with one end resting on the ground outside the wall.

Answer 21

28 ft (p.156)