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The length l, width w, and height h of a box change with time. At a certain instant the dimensions are l = 1 m and w = h = 2 m, and l and w are increasing at a rate of 2 m/s while h is decreasing at a rate of 3 m/s. At that instant find the rates at which the following quantities are changing.
(a) The volume
(b) The surface area
(c) The length of a diagonal
a stockholder sold 150 shares of stock at 34 1/4 per share find the stockholders loss per share The stock had been purchased at 36 5/8 per share.
A man invests $8000. Part of it at 11%, the other at 12%. His total interests from his investments is $930. How much did he invest at each rate.
a rectangular playground is to be fenced and divided into two by another fence parrallel to one side of the play ground. 216 feet of fencing is used.find the dimensions of the playground that maximixe the total enclosed area.
Two cards are drawn from a standard deck of 52 without replacement. By drawing a tree diagram, find the probability the second card drawn is a king?
During the first part of a trip,a canoeist travels 41 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip..
Describe the first step to solving the power of a power compared to solving the power of a product of two factors. Give an example of solving a problem containing the power of a power.
What is the standard deviation of this sampling distribution? (Round your answer to two decimal places.)
The difference exists between the mean number
A sample of participants took part in a hearing experiment. Among other things, the absolute hearing threshold (in decibels) was measured for each participant.
Approximate f by a taylor polynomial with degree n at the number a, and use taylors inequality to estimate the accuracy of the approximation f(x)=T(x) when x lies in the given interval
Showing all working, solve the following pair of simultaneous equations for i1 and i2, expressing the answers to exact whole numbers:
A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.5. If the daily earnings follow a normal distribution, what is the probability that the plumber earns between $135 and $175 on any given day?
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