Let X be a continuous random variable with PDF 2x 0 < x < 1 fx(x) = {0 otherwise Find the expected value of X.

Q: The Sea Wharf Restaurant would le to determine the best way to allocate a monthly advertising budget…

A: The Objective of the LPP is to maximize the value of total Audience exposure by allocating proper…

Q: A square n x n matrix is called skew-symmetric (or antisymmetric) if AT skew-symmetric and n is odd,…

A:

Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y? + 5z2 and the…

A:

Q: In the design of a certain computer application, a heat flow simulation is required. In the…

A: Given The 1-dimensional heat equation is given as follows ∂u∂t=∂2u∂x2 for all 0≤x≤10 &amp; t≥0 it is…

Q: (b) Complete the precedence table below. C(4) Event Immediately preceding activity А(3) F(5) D(2)…

A:

Q: Prove that the function f : R? → R, f(x, y) = sin(/x² +|sin y|) is uniformly continuous on R?.

A: Solution:-

Q: In Exercises 1 and 2, differential equations and their associated slope fields are given. For each…

A:

Q: If f(z) = u+iv is an analytics function.where u and v are conjugate function. Given one of these say…

A:

Q: Find the polynomial that fits the set of points given below 66 10 А) X3 — 0.5х2+ 6 B) X3 + 2 С) X —…

A:

Q: 4. Use linear algebra to solve the system of differential equations 3x1 + 2x2 6x1 + 2x2 with inital…

A:

Q: 2. State sec(cosec) in terms of x. Hence solve the equation 1 sec(cosec) 2х

A: We have to find value of x for given Equation.

Q: 9. What equal uniform annual payment for nine years beginning two years from now would be equivalent…

A:

Q: y"+ (x- 2)y'-y= 0; y(0) = – 5, y'(0) = 0 %3D

A:

Q: 2. Use the MVT to show • Prove that the derivative of f(x) = k, on [a, b], where k is constant, is…

A:

Q: Question 1 Use Laplace Transform technique to solve the initial value problem y' + 2y = 26 sin 3t ,…

A:

Q: Direction: Solve this problem by following the steps in problem solving. Mang Amado enclosed his…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 5. x+3y=7 and 3x-2y=10 ans.A = -- 2 – 3 – 3 11] %3D

A: Inverse of the matrix

Q: 1. Suppose b, , b2 , b3 .... >= 3. Prove that bn is divisible by 3 for all integers n>=1. Is a…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: 3 Show that the series E: is convergent and find its sum. (n+3)(n+4) n-1

A: Simplify the general term of the given series.…

Q: -2 1 y = f(z) 14 17 105 Hence find:

A:

Q: Question 2 Find the standard matrix for the transformation T: R³→ R³ defined by the equation: W; =…

A:

Q: Let V denote the vector space of all functions f : R → R, with the usual definitions of addition and…

A:

Q: below diagram, OA = a, OB = b and 0Q =a. 3

A: Solution

Q: Find the series solution of x'y" + x(;+ 2x)y' + (x y = 0 using frobenius method

A:

Q: Let - EEEE 2. 0. 1 1 1 A =| 0 1 1 1 1 1 1 1 1 What is the reduced row echelon form of A? O a. 1 1 1…

A:

Q: 2. Sonia invested P 2,100 and left it for 9 years where the time in which the principal was…

A: Given that Principal amount = 2100 Rate of interest = 8.5% (compounded annually) Time period = 20…

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 6(t-) + o(t -). v(0) =…

A:

Q: (3a) Let n E Z. Prove that if 3 ł n, then 3|(n² – 1)

A:

Q: What does the index value of 338.9 in 1980 mean? Explain your reasoning. Average Gasoline Prices…

A:

Q: n issue of a magazine contained the following statement Dropping less than two inches per mile after…

A: A fraction is a number in the form xy (where x and y are both integers and y≠0). In the above number…

Q: Let V = P2 be the vector space of all polynomials of degree at most 2, with the usual definitions of…

A: Given W is a subset of V such that W = a0 + a1x + a2x2 : a0,a1,a2∈ℝ with a0 &gt; 7

Q: Find the perimeter of rectangle JKLM. J(- 4,1), K(– 4, – 3), L(2, – 3), M(2,1) Write and solve an…

A:

Q: Let X ~ Uniform(a, b). Find Expected value EX.

A: Given X~Uniform(a, b)

Q: 6. Prove the following statements and provide an illustration to substantiate the proof. a) Let R1…

A: (i), (ii) &amp; (iii) implies R1 intersection R2 is an equivalence relation.

Q: Use the currency exchange rates in the table for the following question. Currency British pound…

A:

Q: 5. Prove that there is no value of k such that the equation æ³ – 3x + k = 0 has two distinct roots…

A: To prove: There is no value of k such that the equation x3-3x+k=0 has two roots in [0,1].

Q: Find the series solution of y"+ (1+x²)y=0 using the power series method.

A: We find the series solution of given DE  y"+(1+x2)y=0.....(1) ,  by using power series method.

Q: x+1

A: Option D is correct answer

Q: What is the Laplace transformation of  L{e-2t cosh (4t) + e-2t sinh (4t)}

A: Here we can use the following formula Lcoshat=ss2-a2Lsinhat=as2-a2andLe-atft=Fs+a   where Lft=Fsthe…

Q: Show complete solution similar in the picture below 9610 B2 B8 B16

A: Conversion of base 10 to base2, base8 base 16

Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

A:

Q: A study is run to estimate the incidence of atrial fibrillation (AF) in men and women over the age…

A: Developed AF Did not Develop AF Men 133 6153 Women 79 7167 To…

Q: Prove that the function f = (sin kæ)(sin my)(sin nz) where: k, m, n are constants 82 + dx² ' Sy? '…

A: f(x) is an eigen function of an operator F(D) if  F(D)f(x)=kf(x),      where k is a constant, known…

Q: dw Find ду dw at the point (w, x, y, z) = (3, - 1, - 1, - 1) if w = x3y? + yz-z° and x2 + y? +z? =…

A:

Q: 1 -1//2 1//2 Pi P2 1 1 0 0 18 0 -1//2 0 P4 P3 -1 1//2 0 1//2 1 0 -1 -1//2 12 Ps 0 P6

A: To solve the system of linear equations obtained below form the matrices; The given data is,…

Q: ntial equations: (x+2y) 1. = y de

A:

Q: 3. Use the MVT to show that the function f(x) = 1/x³ is uniformly continuous on the interval 3,00).…

A:

Q: 1. Anentrepreneurintends to sell his product for 8.4$ each. The daily cost or expenses can be…

A:

Q: problem. Maxriniee and mínimize マ= 2x + 3y (1) Subject to スx + y20 X + Zy Z 8 X,Y

A: