45. In how many ways can 6 boys be seated at a round table? a. 120 b. 110 c. 100 d. 90
45. In how many ways can 6 boys be seated at a round table? a. 120 b. 110 c. 100 d. 90
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:45. In how many ways can 6 boys be seated at a round table?
а. 120
b. 110
с. 100
d. 90
46. The odds are 13 to 8 in favor of winning the first prize of a lottery. What is the probability of winning that prize?
c. 0.619
47. Find the general solution of sin x sin y dx + cos x cos y dy = 0.
a. 0.691
b. 0.617
d. 0.671
a. sin y = C cos x
b. cos x = C x sin y
c. sin x = C sin y
d. sin x = C x² cos y
48. What is the differential equation of the family of parabolas having vertices at the origin and their foci on the x-axis?
a. 2xdx + ydy = 0
b. 2xdy - ydx = 0
c. 4xdy + xdx = 0
d. 3xdy + 2ydx = 0
49. A thermometer reading 18°F is brought into a room where the temperature is 70°F; a minute later, the thermometer reading is
31°F. Determine the temperature reading 5 minutes after the thermometer is first brought into the room.
a. 57.66 °F
b. 58.67 °F
c. 55.35 °F
d. 60.57 °F
50. In a tank are 100 liters of brine containing 50kg of salt. Pure water is allowed to run into the tank at a rate of 3 liters per minute.
Brine runs out the tank at a rate of 2 liters per minute. The instantaneous concentration in the tank is kept uniform by stirring.
How much salt is in the tank at the end of one hour?
a. 19.53 kg
b. 14.56 kg
c. 30.56 kg
d. 15.67 kg
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