Prove that 00 e e-Xx"dx i! i=0

Q: 1. Consider the region R bounded by y = x² and y = 3x a. What is the area of R? b. What is perimeter…

A: V=2π∫03x3x-x2dx   =2π∫033x2-x3dx   =2πx3-x4403   =2π27-814   =13.5π

Q: √ 2*+3* dx 5*

A:

Q: c. There are four oranges, five pineapples, and three mangoes. Suppose you are to make a juice using…

A: c. Given that there are 4 oranges, 5 pineapples and 3 mangoes. Suppose you are to make a juice using…

Q: 3 4 dx . (5+2x)' 3. Evaluate

A:

Q: Ex=1/e2

A: Ex=1/e2 => Ex=e-2

Q: e2 6. - dx -Find 1

A:

Q: The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 20 25…

A: Given information: The data of the salaries (in thousands of $) of the Construction workers and…

Q: The least value of the expression 2log10x – log(0.01), for x > 1, is- (A) 10 (В) 2 (С) -0.01 (D)…

A: This is very complicated and lengthy problem,so I can do it in Advanced Mathematics.

Q: 2 1. xe*dx

A: The value of the integral can be evaluated as following ∫02xexdx

Q: Evaluate d/dx { In√(x+1)}

A:

Q: Show that di = s> 0.

A: Laplace transform

Q: Explain what it means if a' . b = 0

A:

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: S dx b² +x4 - Evaluate

A:

Q: Consider the following expressions as functions of a with domain equal to the open interval (0, 1)…

A: The given function f:0, 1→ℝ, we have to find a function that satisfies the given condition.

Q: du / (1 - e")2

A:

Q: Ql Find se dx |

A:

Q: Find / 5x dx

A: ∫Axndx =A(xn+1n+1)+C, where C is integration constant.

Q: Find the cosine of ZF. G 22 cos (F) √55 H = 33 Write your answer in simplified, rationalized form.…

A: To determine the cosine ratio

Q: solve for x if CDy=4(x-E)

A:

Q: Show E(Y)

A: First we have to determine the marginal pdf of Y to calculate the value of E(Y).

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: e¬*dx 4 + e-2x

A:

Q: cosh(In x) dx

A:

Q: (c) = y² %3D dr dy (d) y = sin x %3D

A: