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A volcano fills the volume between the graphs z = 0 and z = frac{1}{left( x^{2} + y^{2} right)^{16}}, and outside the cylinder x^{2} + y^{2} = 1. Find the volume of this volcano.
ramos buys some pens and pencils. He buys seven more pens than pencils. Pencils cost $0.45 cents each and pencils cost $0.40 each. If he has $10 to spend, what is the greatest number of each he can buy?
A car is traveling at 88 km/h when the driver sees an accident 55 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
A target heart rate T that is half a person's maximum heart rate is given by T=110 - 1/2A where A is a person's age.
how much rent should be charged to maximize revenue?
A certain bacteria population is known to doubles every 90 minutes. Suppose that there are initially 80 bacteria.
a company's total cost in millions of dollars,is given by c(t)=280-30e^-t where t= time in years, find the marginal cost when t=3
Show that the resulting motion is simple harmonic, and determine the circular frequency and period of the motion.
Determine the probability distribution, and the cumulative probability distribution of car arrivals. Simulate 20 hours of car arrivals at Joe Kelly's oil change and tune-up place.
Find the predictive value of a positive test.
A gutter cleaner wants to reach a gutter 40 ft above the ground. Find the length of the shortest ladder that can be used if the steepest angle at which it can be leaned
You have a wire that is 38 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What i..
A wooden artifact from an ancient tomb contains 55% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
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