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1. Use differentiation to approximate the maximum error in using 5 cm as the radius of a sphere to calculate its volume if the measurement is off by at most 8 mm. Find the approximation of both the relative and percentage error for the volume.
2. Suppose that fluid is leaking from an overhead pipe and spreading in the shape of a circle on the ground. If the radius of the circle is increasing at a rate of 0.5 feet per minute, how fast is the area of the circle increasing when the radius is 4 feet?
A person must select 3 numbers from 18 numbers for a single ticket in a lottery game. Only one number has to match in order to win a prize. Find the probability of winning if a person buys one ticket. (Note: The numbers can be selected in any order.)..
a carpenter is building a rectangular room with a fixed perimeter of 328 ft. what dimensions would yield the maximum area? what is the maximum area?
A montly cost of a long distance phone plan in dollars is a linear function of the total calling time in minutes. When graphed the funtion gives a line with a slope of 0.13.
A high-speed train makes a 320 mile nonstop run between two major cities in 512 hours. The train travels 80 mph in the country, but safety regulations require that it travel only 20 mph when passing through smaller, intermediate cities. How many h..
Two trains leave stations 442 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
A windshield wiper is 3 feet long and the blade is 2 feet long. If the wiper can trace out an angle of 110 degrees, what area can the blade wipe?
What is the nature of the effects of the factors studied in this experiment? What strategy would you use to reduce invoice errors, given the results of this experiment?
Set up the augmented matrix while using Gauss-Jordan elimination to solve the system. Provide some notation showing how to proceed from one augmented matrix to the next.
bill invests 7100 in a savings account that compounds interest continuously at an apr of 4.7. ted invests 7300 in a
Lakeside Boatworks n planning to manufacture three types of molded fiberglass recreational boats-a fishing (bass) boat, a ski boat, and a small speedboat. Formulate a linear programming model for this problem
If an object is dropped from a height of 50 feet, the function d = -16t^2 + 50 gives the height of the object after t seconds. what does the input value of the function represent? what does the output value of this function represent?
Find a particular cosign equation for the sinusoid function graphed in the figure below. Give the amplitude, period and the displacement of the function.
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