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A rectangular box with a square base is 13 centimeters taller than it is wide. If the surface area of the box is 1488 square centimeters, find the volume of the box in cubic centimeters.
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity or inflection.
Three-person Problem of Points
An oil storage tank is in the shape of a cylinder, is 5 m high and has a diameter of 8 m. The oil tank is three-fourths full. Find the number of cubic meters of oil in the tank. Round to the nearest hundredth. Use 3.14 for pi.
a ball is thrown straight upward from the ground and attains a height of s(t)=-16t^2+128t+ 4 ft. above the ground after t seconds. When does the ball reach the maximum height and what is the maximum height?
A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
Show your results numerically and graphically. What can you conclude about the affect of the rate of return on your retirement plans ?
What is the probability that a part that starts in Process A will make it to shipping in two steps? Show the values that you are combining to solve this.
How do you solve for the conditional probability of a false positive for a cancer test?, An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15..
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
Probability - offspring, For a certain animal species, the probability that a female will have a certain number of offspring in a given year is given
What is the probability of underfilling the bottles by at least 30ml?
A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.
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