Other Math Answers

The diameter of a pipe at the section 1 and 2 are 15 cm and 20 cm respectively. Find the discharge through the pipe if velocity of water at section 1 is 4 m/s. Determine also the velocity at section 2.

17. A rectangular solid whose dimensions are 4cm, 8cm, and 12cm is inscribed in a sphere. What is the diagonal of the rectangular solid?

a) 7.49 cm
b) 8.94 cm
c) 14.42 cm
d) 14.97 cm

18. In question 17, what is the surface area of the sphere in ¹?

a) 176.24
b) 251.09
c) 704.03
d) 1,405.25

A right circular cone is inscribed in a cube having a diagonal which
measures 20 square root of 3 cm.

2. What is the volume of the cone?

Suppose a person standing at the top of a building 112 ft high throws a ball vertically upward
with an initial velocity of 96 ft/sec.
(a) Find the velocity of the ball at time

A corporation receives a shipment having 18 pieces out of which 4 are substandard. If 6 pieces are selected as a random sample, and the shipment is rejected if any of these items proves to be substandard. Calculate the following if possible. If any part of question (you feel) is not possible to calculate give reason:
a. Develop the probability distribution table for the number of substandard pieces.
b. Calculate the expected number of substandard pieces and its variance.
c. What is the probability that less than 3 substandard pieces in the random sample?
d. Calculate the probability of accepting a shipment

Two Certified Public Accountants have recently started to give business advice to their clients. Acting as consultants, they estimated the demand curve of a clients firm to be: AR = 200 8Q Where AR is average revenue in millions of shillings and Q is the output in units. Investigations of the client firms cost profile shows that marginal cost (MC) is given by: MC = Q² 28Q + 211 (in millions of shillings). Further investigations have shown that the firms cost when not producing output is Sh.10 million.
Required:
The equation of total cost (5 marks)
The equation of total revenue (2 marks)
An expression for profit (2 marks)
The level of output that maximizes profit (5 marks)
The equation of marginal revenue (2 marks)

Two students were discussing about the relationship between average cost and total cost. One student said that since average cost is obtained by dividing the cost function by the number of units Q, it follows that the derivative of the average cost is the same as marginal cost, since the derivative of Q is 1

Required:
Comment on this analysis. (4 marks)

A gold mine had two elevators, one for equipment and one for miners. One day, the equipment elevator begins to descend. After 28 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 14seconds? At that time how much deeper is the elevator for the miners

The velocity distribution for flow over a flat plate is given by u = 3/2 y - y^(3/2) , where u is the point velocity in metre per second at a distance y metre above the plate. Determine the shear stress at y = 9 cm. Assume dynamic viscosity as 8 poise.

A plate 0.025 mm distant from a fixed plate, moves at 50 cm/s and requires a force of 1.471 N/m^2 to maintain this speed. Determine the fluid viscosity between the plates in the poise.