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Find the general solutions of the linear system using the method of elimination.
x'=4x+y+2ty'=-2x+y
The answer is:x(t)=a1e^(2t)+a2e^(3t)-(1/3)t+(1/18)y(t)=-2a1e^(2t)-a2e^(3t)-(2/3)t-(5/4)
Use the binomial distribution to find the probability that the company makes a profit from the 1300 policies. Compare this result to that from part b.
An oil tank ruptures at time t=0 and oil leaks from the tank at a rate of r(t)=100(e^(-.01t)) liters per minute. How much oil leaks out during the first hour?
f(z) is defined by the equations: f(z)=1 when y 0, and C is the arc from z=-1-i to z=1+i along the curve y = x^3. The answer is given as 2+3i.
a car is travelling on a straight road with velocity 55 ft/sec at time t=0. for 0
A polygon has an area of 100 square inches and one of its sides is 13 inches long. If a second similar polygon has an area of 36 square inches, what is the length of the corresponding side in the second polygon?
An animal population can be modeled by function p(t) = 6+5.2*e^(0.02t). What is the average size of the population of these animals over the first 10 years.
when x15 - 1 is divided by Xm - 1for m = 1, . . . . 14. Why do all the remainders have no more than two terms? What other patterns are there? Why do they occur? What would happen if 15 was replaced by another number?
A company has fixed costs of 20,000,and the cost of producing one unit of their product is $10. the unit sell for $20. write an equation for the total cost. write an equation for the total revenue. graph these equations to find the break even poin..
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
find the equation for those products and CPI, & use those equations to predict the average cost of each product for the year 2020.
suppose you open an account on january 1 with a deposit of $64. How much money will yor money earn at the end of the quarter march 31 at an interest rate 5% YEARLY?
A bank loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 40. If 36 different applicants are randomly selected, calculate the probability that their mean above 208.
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