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Suppose that we pump water into an inverted right circular conical tank at the rate of 2 cubic feet per minute (i.e., the tank stands with its point facing downward). The tank has a height of 14 ft and the radius on top is 4 ft. What is the rate at which the water level is changing when the water is 7 ft deep? (Note that the volume of a right circular cone of radius r and height is h is V=1/3pir^2h.
imagine you are a manager at a major bottling company. customers have begun to complain that the bottles of the brand
Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.
Complete all three parts. a) Can I square 9 minus x by first squaring the 9 then squaring the x? In other words, would this be correct: 9sq minus xsq? Why or why not? If it is incorrect, what would be the correct way?
you invested $19000 in two accounts paying 4% and 6% annual interest, respectively. If the total interest earned for the year was $840, how much was invested at each rate?
You have just come into a large sum of money! You make the wise decision to invest the money to use at a later date. Use the exponential equation to find the total amount in the investment account after a certain number of years.
The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is $111.00. The quantity demanded each month is 1000 when the unit price is $81.00.
Embedded Runge-Kutta Methods- Write out the formulas for k1, . . . , k4, yn+1 and y^n+1. Explain how this specific method can be implemented so that only 3 function evaluations per step are required
Evaluate the gradient of f at point P. Find the directional derivative of f passing through P in the direction of the vectur u.
Spiderman invests 23000 dollars into 2 accounts. One earns 8.4% annual interest and the other account earns 5.1% annual interest. At the end of one year, Spiderman has earned 1750.50 dollars from interest on these 2 accounts. How much money did Sp..
.With the conditions of problem 1, if 20 students are selected , what is the probability that the mean of their scores is greater than 18?
A soft drink manufacturing company has 3 factories set up one in each of the three cities - Orland, Tampa, and Port St. Lucie and it supplies the produced soft drink bottles to 3 warehouses located in the city of Miami. Using the information from ..
A dart is thrown at a dartboard like the one below. If the dart can land anywhere on the board, find the probability that it lands in a trapezoid or a blue region.
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