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The base of an aquarium with volume V = 330 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Briefly describe the physical behavior of the solutions of elliptic, porabolic and hyperbolic equarions.
A plane flying horizontally at an altitude of 2 mi and a speed of 520 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..
The radius of a circular disk is given as 26cm with a maximum error in measurement of 0.2cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
Probability Slips of paper marked with the numbers 1,2,3,4, and 5 are placed in a box. After mixing well, two slips are drawn.
The cover of the tank is a hemisphere with outside radius of 20ft and inside radius of 18ft. How much concrete was used in the cover?
We have defined space X to be contractible in two ways: Show that these two definitions are equivalent.
determine the steady state response of this system.
A recent survey showed that among 2013 randomly selected adults, 1358 (or 67.5%) stated that they are Internet users (based on data from Pew Research Center). If the proportion of all adults using the Internet is actually 2/3
A man rows a boat 550 feet upstream against a constant current in 10 minutes. He then rows 325 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
A students calculate the density of an element to be 7.78 g/cm3. The density listed on the periodic table is 7.13 g/cm3. Calculate the percent error and identify the element.
What is the ant's linear velocity? Include appropriate units in your answer.
Find the radius of convergence and the interval of convergence of this taylor series.
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