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Find the inverse Laplace Transform of each of the function
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- Using Reduction of Order: (D2-1)y = 2e2xIf it is known that L {y'' (t)} = -15s+24 with y(0) = -3 and y'(0) = 6, then it can be ensured that:. A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank B whose interest rate was y % per annum. Her total interest in two years was GH¢ 6,400. If she had saved GH¢ 20,000 in bank A and GH¢ 30,000 in bank B for the same period, he would have gained GH¢ 200 as additional interest. Find the values of X and Y
- With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t3 − 0.026t2 + 1.6t + 2.24. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?A company wants to increase the 10% peroxide content of its product by adding pure peroxide. If x liters of pure peroxide are added to 500 liters of its 10% solution, the concentration, C, of the new mixture is given byHow many liters of pure peroxide should be added to produce a new product that is 28% peroxide?
- s1) a)X ∼ exp (λ). Under the condition {X> 3} fX | {X> 3} (x | X> 3) =? and E [X | X> 3] =?3.3 q1 The average pollen count in a certain city on day x of the pollen season is P(x) = 6x − 0.2x2 (for 0 < x < 30). On which day is the pollen count highest?The productivity of a country is given by f(x,y)=14.41x0.427y0.573, where x is the amount of labor and y is the amount of capital. (A) Find fx(x,y) and fy(x,y). (B) Find fx(69,54) and fy(69,54), and interpret the results.
- Suppose that a new company begins its operations in 2020 and the size of the company over the next 10 years is predicted by N ( t ) = t3 − 12t2 + 45 t + 5, 0 ≤ t ≤ 10 where N is the number of employees t years past 2020. In what year the number of employees will be the highest?1. If h(x) = 2x and k(x) = 2x – 4, what is h(k(10))?In this problem, we'll walk through the steps to find the area of the rectangle bounded by:The line f(x)=2x+4f(x)=2x+4 The line g(x)g(x) parallel to f(x)f(x) passing through the point (0, 3)The line h(x)h(x) perpendicular to f(x)f(x) passing through (13, 0)The line j(x)j(x) perpendicular to f(x)f(x) passing through (0, 4)