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Show that the nonlinear differential equation is exact. Find an implicit solution of the initial value problem.
(2ty + 1/y) y' +y^2 = 1, y(1) = 1
A manufacturer of window frames know from long experience that 5 percent of the production will have some type of minor defect tht will require an adjustment. What is the probability that in a sample of 20 window frames
Jackie, a 25 year old client, want to retire by age 65 with $2,000,000. How much would she have to invest annually, assuming a 6% rate of return?
Normal Approximations to Binomial Probabilities, Mathematics Study Centre was established to help students to solve mathematics and statistics problems
what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)
Parke-Davis data: A group of 100 people were in a study involved treatment with Lipitor. Unbeknownst to the subjects, some of them were given Liptor and some were given placebo (sugar pill) as shown in the table.
Let f be Lebesgue integrable on [0,1]. Prove that the limit, as k goes to infinity, of the integral from 0 to 1 of (x^k)f(x)dx is equal to 0.
A computer processes jobs on a first-come first-serve basis in a time-sharing environment. The jobs have Poisson arrival rates with an average of six minutes between arrivals.
In the problem below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form.
A truncated pyramid is what is left when a plane parallel to the base cuts off the top. If a regular hexagon pyramid is truncated half way from the base to the top, what is the volume of the truncated solid if each base edge is 36 and each lateral..
an investment club invested part of 10,000 at 8% annual interest and the rest at 9%.if the annual income from this investment is 860, how much was invested at 8%.
A flagpole is n feet tall. On this flag pole we display flags of the following types: red flags that are 1 foot tall, blue flags that are 2 feet tall and green flags that are 2 feet tall.
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
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