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Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by


4. s+7/s^2+2s+5


Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by


3. s-1/s^2 (s+3)


Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by


1. s+5/(s+1)(s-3)


Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by


1. 1/(s+3)(s+7)


Activity 1 Find the critical value of the following





Lone-tailed test, or known, a= 0.05; n = 34,





2 two-tailed iest, a unknown, a = 0.01, n=23





3 night-tailed test, a unknown; a = 0.01, n = 15





4 one-tailed test, a known, a = 0.025; n = 37





5 left-tled test, a known, a= 0.05, n = 36





Consider the problem: According to last year's report, a Filipino household spends an average of P500 per day for food. Suppose you recently took random samples of 30 households. You determined how much each households spent for food each day and the results revealed a mean of P450 and the standard deviation of P25.50. Using a 0.05 level of significance, can it be concluded that the average amount spent per day for food of a Filipino household has decreased? Assume normality over the population

Find the Laplace transforms of the following function:

10. L{e^-t}


Find the Laplace transforms of the following function:

9. L{7t^3 - 2sin3t}


Find the Laplace transforms of the following function:

8. L{t^2 e^-2t + e^-t cos2t + 3}


Consider the problem: According to last year's report, a Filipino household spends an average of P500 per day for food. Suppose you recently took random samples of 30 households. You determined how much each households spent for food each day and the results revealed a mean of P450 and the standard deviation of P25.50. Using a 0.05 level of significance, can it be concluded that the average amount spent per day for food of a Filipino household has decreased? Assume normality over the population

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