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1. Determine whether or not the following equation is exact. If it is exact, find the solution.
(exsin y - 5y sin x)dx + (ex cos y + 5 cosx)dy = 0.
2. Determine whether or not the following equation is exact. If it is exact, find the solution.
(7y + (1/x) - (x/y2)) dy/dx + (2x + (1/y) - (y/x2)) = 0.
3. Determine whether or not the following equation is exact:
2e(x/2)+y - y + 2 (xe(x/2)+y +1) (dy/dx) = 0. y(0)=1
If it is exact, find the solution. If it is not exact, multiplying the equation with an integrating factor F=e-x/2 and check if the new equation is exact. If the new equation is exact, find the solution.
A 30 year mortgage of $80,000 has an annual interest rate of 12%compounded monthly. If the borrowers decide to pay off the loan fully in 15 years rather than 30, the new monthly payment should be ?
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
There are 10 rolls of film in box and 3 are defective. 2 rolls are to be selected without replacement. What is the probability of selecting a defective roll followed by another defective roll?
Find the x-intercept and the y-intercept for 2x-6y=4?
at the instant when the water is 5 m deep find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 m/hr.
Inquiries of the Poisson Portal interactive query system arrive at the central computer in a Poisson pattern at an average rate of 13 inquiries per minute.
1 in a poll 37 of the people polled answered yes to the question are you in favor of the death penalty for a person
You walk 99 yards due south, then 121 yards due west, and then 22 yards due north.
a baseball coach wants to place ads in teh outfield of his baseball field. the ads are in standard sheets of plywood. how many ads can he place in the outfield?
What is globalisation, and what explanations have been put forward to explain how it affects individuals and communities?
This data shows the temperatures on randomly chosen days during a summer class and the number of absences on those days. (temperature, number of absences) (72, 3), (85, 7), (91, 10), (90, 10), (88, 8), (98, 15), (75, 4), (100, 16), (80, 5)
Probability distribution of the model, Alice Tanner is a nurse on the night shift from 10:00 P.M. to 6:00 A.M. at Community Hospital. She has 15 patients for whom she is responsible in her area
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