Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming. (Write your answer as a function of s.) <{t² * te¹}

Q: Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find…

A: Mean(µ) = 1030Standard deviations (σ) = 89X ~ N (µ, σ )= N(1030, 89)

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Given f(x, y, z) = xyz with constraint:  x + y + z - 12 = 0

Q: 68. The heights of the 430 National Basketball Association players were listed on team rosters at…

A: The question is about normal distribution.Given :Population mean height of basketball players (  ) =…

Q: SOLUTION If f(x)=5x2 - 1 40 In(x), then 1 f'(x)= 10x 40x 1 + [f 1 + [f'(x)]² p>'(x)]² = - ( 1 10x…

A: S(x) = 5x2 + (1/40) ln(x) - 5

Q: Please answer the attached picture. Thanks,

A: Г(1,Ɵ) represents a gamma distribution X~ Г(α,λ) where α is the shape parameter and λ is the scale…

Q: Show that the set of odd numbers is countable.

A:

Q: If 1 cup of regular coffee contains 112 mg of caffeine, how much caffeine is contained in 3.5 cups…

A: There are 3.5×112 miligrams of caffeine cups of coffee.

Q: 8. On page 8 of the chapter 4 notes, an example found that P(x-2) = 0.31374. Find P(x=3) for this…

A: Given that  n = 5, p = 0.498, q = 0.502 And X follows Binomial(n = 5, p = 0.498)

Q: 1. What is the inverse of the statement "If two angles are supplementary, then the sum of the two…

A:

Q: 3 A certain recipe calls for 1– cups of sugar. If the recipe is to be doubled, how much sugar should…

A: We have to solve the problem

Q: 10* Suppose ECR is separated by a pair of relative open subsets U, V Define a function on E as…

A: We know that if a function is defined on the union of two disjoint open sets, then we can separate…

Q: 7. Consider the indefinite integral J Then the integrand has partial fractions decomposition…

A: Given problem:-

Q: Find the first four nonzero terms of the Maclaurin series for B(x) = X ex - 1

A: The given function

Q: A car travels 130 miles on 5 gallons of gas. Give the ratio of miles to gallons as a rate in miles…

A:

Q: 15) Solve for x: logą x = 4 16) Given f(x) = x³/7, find f-1(x). 17) Given f(x) = log4(x + 2), find…

A: we have to solve the following

Q: Length of the Arc Instruction: Answer the following. Show all your solutions. 5. a. Give the formula…

A:

Q: (d) Suppose k = f(z) and z = f(x): then X =

A:

Q: dy(s,t) Ət d³x (t) dt³ Differential Equations - y(s, t) + x(t): = Əx(s,t) Əs dy(t)- y(t) dt Linear…

A: