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Pete walks at the rate 5 ft/sec toward a street light whose lamp is 20 ft above the base of the light. If Pete is 6 ft tall, determine the rate of change of the length of Pete's shadow at the moment he is 24 ft from the base of the lamppost.
A triangular plate with height 3 ft and a base of 4 ft is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correc..
Assume Gary is at rest at noon, then accelerates at a constant rate of 3 ft/sec^2. Find the parametrization of the motion in terms of t, seconds after noon. How long does it take to reach a height of 500 feet?
How many units should the company sell per month in order to break even, assuming that it can sell up to 5,000 units per month at the planned price?
what is the union of sets x and y b. what is the intersection of sets x and y c. create your own set z that is a subset of x
Also Estimate the relative error in the calculated surface area.
A man rows a boat 550 feet upstream against a constant current in 10 minutes. He then rows 325 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
hardware store sells house numerals. It has large quantities of the numerals 3, 5 and 8 but is out of all the others. How many different house numbers, with no more than three digits, can be made from these numerals?
If the material for the base costs $0.30 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.20 per square foot, determine the dimensions of the box that can be constructed at minimum cost..
the standard deviation of age of passenger train cars is 2 yrs. if the distribution of ages is normal and 10% of the cars are older than 10 years, find the average age.
A box with a square base and open top must have a volume of 500000 cm3. Find the dimensions of the box that minimize the amount of material used.
A machine produces bolts with an average diameter of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that a bolt will have a diameter greater than 0.32 inches? Assume the distribution is normal.
How much should he invest in each to maximize his return? Assume the investment returns are as expected.
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