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Prove the following relations on Z are equivalence relations and describe the equivalence classes:
Determine the inverse Laplace transform of the following rational function using reduction formulas or inverse formulas involving irreducible quadratics.
Andy encounters the strange island, where every creature has either green, purple or blue hair. He's told by a reliable souce that those with green hair always tell the truth, those with purple hair
Suggest a one-period binomial model with h = 1, where S = 100, r = 0:04, sigma = 0:30, and delta = 0:02. Consider American call. What is the lowest strike price at which early exercise will occur
Let A be an invertible nxn matrix, and let B be an nxp matrix. Show that the equation AX=B has a unique solution. What is this unique solution?
In manufacture of the certain type of automobile, four types of major defects and seven types of minor defects can take place. For those situations in which defects do take place, in how many manne
It would have to pay science teachers $90,000 to appoint good science teachers. If one out of five teachers is the science teacher, determine the marginal expense of getting a good science teacher i
A detective has interviewed four witnesses to the crime. From the stories of witnesses the detective has concluded that :
After another 25 minutes, it was taken out and put in the refrigerator whose temperature is set at 40 F. After 10 minutes, the temperature of roast decreased by 20 degrees. When will the temperature
Suggest the initial value problem problem consisting of the differential equation dy/dx = 2xy - 2x ln (x + 1) + (1 / x+1) and the the initial condition y(0) = 0.
Asume that the 80-strike European call sells for $15, a 90-strike calls sells for $10, and 95-strike call sells for $6. Discuss how you can prot from an arbitrage opportunity.
Find out the symbolic form of the following sentences. Make sure you define how you label your setatements - for example, set p = "a = 0".
Can someone describe to me in laymans terms how group theory is demonstrated in the circle of fifths (music)? Just a few sentences would be great.
A 120-gallon tank initially haves 90 pounds of salt dissolved in 90 gallon of water. Brine containing 2 pounds/gallon salt flows in the tank at the rate of 4 gallon for each minute. The well-stirre
After another 25 minutes, it was taken out and put in a refrigerator whose temperature is set at 40 F. After 10 minutes, the temperature of roast decreased by 20 degrees. When will the temperature o
Wilson's Realty has total assets of $46,800, net fixed assets of $37,400, current liabilities of $6,100, and long-term liabilities of $24,600. What is the total debt ratio?
Determine the range of values which would have at least 75% of the number of personal days taken by a full time employee annually.
There're 2,94,000 tractors in a specific state, out of which 1,50,000 are manufactured by Mahindra. Out of every 1,000 Mahindra tractors, 98 are red in colour and 5.3% of total number of tractors i
In order to encrypt/decrypt this message, the message should be divided in two-digit blocks when performing the calculations.
What conclusion can you make about the minimum number of points needed to draw one unique line?
Besides a second point, what other information is required in order to draw one distinct line through a given point?
Find out if the statement is true or false. If it is false, than modify statement and write down the TRUE statement.
If a campus telephone extension has four digits, how many different extensions are there with no repeated digits, if the first digit cannot be 0?
A golfer stands 480 ft (160 yd) horizontally from hole and 45 ft above the hole. Supposing the ball is hit with initial velocity of 120 ft/s, at what angle (or angles) must it be hit to land in the