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The volume of a cube is measured to be 8 cubic inches. Due to heat conditions a possible error of 0.0012 cubic inches in computing the volume must be allowed. What is the maximum possible error in the measurement of the side of the cube?
A motorboat travels 255 mi in 3 hours going upstream and 540 mi in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.08 foot thick, and when the radius is 750 feet, the radius of the slick if increasing at the rate of 0.5 foot per minute. At what rate (in cubic feet per minut..
Binomial Probability: Survey of Drivers, The graph below shows the results of a survey of drivers who were asked to name the most annoying habit of other drivers. You randomly select six people who participate in the survey and ask each one of the..
If ship A is soiling west at a rate of 14 mph and ship B is sailing south at a rate of 20 mph. find the rate at which the distance between the ships is changing at 4:00 p.m.?
The formula r=2√5L can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length L, in feet. How far will a car skid at 30 mph?
For the function: f(x)=(x^2/4)+e^(-x^2), sketch a graph of the function. Calculate the first and second derivatives, and use these answers to approximate the locations of the local maximum, minima, and the inflection points.
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
This problem is basically belongs to Mathematics as well as it is about finding the exact value of the trigonometric function.
A ball drops from a height of 23 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.
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
Therefore, in t years the carbon monoxide level will be P(t) = 0.02(12 + 2t)3/2 + 1 ppm. Find P'(2), the rate at which carbon monoxide pollution will be increasing in 2 years.
Determine the mass the vessel
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