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A street light is at the top of a 15 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 7 ft/sec.
At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 38 ft away from the pole?
Using a known Taylor series, find the first four nonzero terms of the Taylor series about 0 for ln(1-2y)
The number of international visitors to the United States each year (in millions) can be estimated and projected by the formula V = 2.18t+46.46,where t is the number of years since 2004. Find the number of visitors in 2007 ?
a container in the shape of an inverted right circular coner has a radius of 8 inches at the top and a height of 10 inches. At the instant when teh water in the container is 8 inches deep the surface level is falling at the rate of -1.3in/s. FInd ..
A handbag originally cost $85.00. Now it is priced at $68.00. What is the percent of decrease?
Provide an equation with real-number values of a, h, and k, so that your classmates can describe the changes/shifts made to the graph of y = x².
According to the data from the U.S. Department of Commerce, movie-theater box-office receipts (in millions of dollars) in year x can be approximated by y= 535.43x+5362.21, where x=0 corresponds to 1995. Assume that this equation remains valid unti..
Doorway Height: The gulfstream 100 is an executive jet that seats six, and has a doorway height of 51.6 in.
Suppose you estimate the quotient 472 ÷ 58 using 500 ÷ 50 and using 420 ÷ 60. Which estimate should give a high estimate? Which estimate should give a low estimate? Explain the reasoning.
Suppose the current is 3 amps and increasing at 10-2 amp/sec and R1 is 3 ohms and increasing at 0.5 ohm/sec, while R2 is 5 ohms and decreasing at 0.1 ohm/sec. Calculate the rate at which the voltage is changing. Give your answer to 4 decimal place..
train A travels at a speed of 40mph and train B travels at a speed of 60mph. Train A passes the station at 1:25, at what time will train a catch up to train B
Use your simulation results to determine the probability of obtaining a defective phone for each simulation if an outcome of 1 or 2 is considered to be a defective phone, showing all work.
you have 240 feet of fencing to form two adjacent rectangular corrals. each coral has an area of 1000 square feet, find the possible dimensions of each corral.
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