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Q1. Pick integers a, b > 0 and solve the corresponding hyperbolic equation
x2 - ax - b2 = 0
Q2. Explain why x = BC in Descartes construction for hyperbolic equations is a solution. (That is use algebra to PROVE x = BC is a solution of x2 - ax - b2 = 0. Definition of a circle, Pythagorean Theorem, and simple symbol shuffling should suffice.)
Q3. Pick integers a, b > 0 and solve the corresponding hyperbolic equation
x2 + ax - b2 = 0
using Descartes' method. Make a careful sketch and measure the solution on your sketch.
Q4. Pick integers a. b > 0, such that a/2 > b > 0 and solve the corresponding elliptic equation
x2 - ax + b2 = 0
Q5. Explain why x = SB and x = AS in Descartes construction for elliptic equations solutions. (That is use algebra to PROVE x = SB and x = AS are solutions. As part of your solution be sure to explain why is ∠AQB a right angle?)
They'll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on the map how many kilometers is the actual path?
Two cars leave a restaurant at the same time and travel in opposite directions. One averages 50 miles per hour and the other averages 40 miles per hour. After how long will they be 216 miles apart?
Solve using the addition and multiplication principles. Solve using the addition and multiplication principles.
Express the current price of eggs after the two price changes.
How many bags of potato chips and ice cream bars did omar eat when 88 grams of fat and 1505 calories were consumed?
Using the double-declining balance method, depreciation expense for 2006 and the book value at December 31, 2006 would be
Bill invests in a plan that has an APR of 3%. He invests four times as much in a plan that has an APR of 8%. If the total interest from the investments is $805 after one yaer, how much was invested in each plan?
Find the equation of the boundary line.
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2. Suppose that the firm considers making only two products and desire..
Write down quadratic equation in variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
How closely the diode follows the ideal diode equation. Determine the value of the energy gap, Eg, and hence state the likely type of semiconductor used to make the diode.
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