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A spherical balloon is inflated with a gas at the rate of 500 cm3/min. How fast is the radius of the balloon increasing at the instant the radius is 30 cm?
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
Find the vertices of the rectangle with maximum area.
A system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows:
A random sample of size 10 bulbs is selected from the storage room, what is the probability that exactly 4 of the bulbs will have a lifetime less than 16 days?
A ball drops from a height of 14 feet. Each time it hits the ground, it bounces up 65 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
powdered drink mix is stored in a cylindrical container that has a radius of 6 centimeters and a height of 14 centimeters. Which is closest to the maximum number of cubic centimeters the container will hold?
Math problem, After visiting his doctor,allen went to the pharmacy for a(n) 8 day supply of drug A,a(n)24 day supply of drug B and a(n) 15 day supply of drugC and how long will it be untill he can fill all three prescription same day?
An estimated 8% of men and O.5% of women are colorblind. If a colorblind person is selected at random, what is the probability that the person is a man?
A tank is full of wter. Find the work required to pump the water out of the outlet. Use the facts that water weighs 62.5 lb/ft3 and R=9ft. Round the answer to the nearest integer.
A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs are $25,000. They will sell the CD's for $98 each. Let x be the number of CD's produced.
Find the time required for an investment of 5000 dollars to grow to 7100 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
What is the relationship between exponents and logarithms? How would you distinguish between the two, using both a graph and a sequence? Explain by showing examples of each.
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