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1. Let s(x, y) = √(y2 - x2).
Sketch the domain of s.
2. Find equations for the level curves {(x, y) : s(x, y) = c} for c = 1, 2, 3, sod sketch the curves.
the manager of 100 apartments knows that at $600 rent per month, all apartments will be rented. For each $25 increase, one apartment will not be occupied. Let x represnt the number of $25 increases to the rent. Write the revenue as function of x.
A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?
Evaluate the relative growth rate and Assume the relative growth rate is a linear function of population at time t by using the formula
A telephone wire hanging between two poles at x=-b,b. It takes the shape of a catenary with equation y=c+acosh(x/a). Find the length of the wire.
The revenue from marketing x units of product I and y units of product II is 105x + 121y - .04xy - .1x2 - .2y2. Find the values of x and y that maximize the monopolist's profits.
An investor bought 150 shares of High Flying Airlines. She paid $60 per share for 50 shares, $50 per share for 60 shares, $75 per share for 40 shares. What was her average price per share?
Explain with leasons why limx→-2 f(x) exists, but f(x) is not continuos at x = -2. State the type of discontinuity and What type of discontinuity exists.
A recent study reported that college students study for an average of four hours per day. You believe this figure is too large & you decide to conduct your own test. Find the p value & explain its meaning.
A hemisphere of radius 5 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
How many years would you have to save up for a down payment on a house if you put down 56 % of the required down payment of $ 7,740, and you could find an investment that let you earn 8% compounded 363 times per year?
A farmer has 700 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.
1discuss the weierstrass approximation theorem. when would you use this theorem? are there other options for solving
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