S"(e*sin²x – e**cosx) dx B)

Q: 3. Explain why the following limits do not exist. 1 (a) lim x-5 (x-5)2 -x² +3, (b) lim h(x), where…

A: (a) limx→51(x-5)2 Let  f(x)=1(x-5)2 As x approaches 5, (x-5)2 approaches 0, and so f(x) approaches…

Q: Q1) Solve the following equations by the power-series method: A) xy – (x + 2)y' + 2y = 0

A: Solution for part A: Given differential equation is xy''-(x+2)y'+2y=0           (1) let the solution…

Q: 1. In this activity, you want to find a statement S so that ((AVB)^¬A) → S is a tautology. (a)…

A: a) AB¬AA∨BA∨B∧¬ATTFTFTFFTFFTTTTFFTFF

Q: Consider the following initial value problem: y" + 10y' + 21y = d(t − 5) + u₁0(t); _y(0) = 0, y'(0)…

A: Since you have asked two questions, here is the solution of part (a).

Q: (b). the N(0, 1) CDF Table. Describe a strategy to transform the realizations to follow a N(5, 9)…

A: b)  The realizations from a Unif(0,1) simulator is nothing but set of random sample following…

Q: Use the mixed congruential method to generate a sequence of 32 random numbers with Xo=8, a=9, c=13,…

A:

Q: 68. Approximating Pi (a) Show that 4 dx = n. 1+ x2

A: Given to prove ∫0141+x2=π

Q: 5. Let X, Y ~ Poisson(X) be independent Poisson rv's with the same parameter >> 0. (a) Find the…

A: Given that  be independent Poisson random variables with the same parameter .

Q: (b) The path of a moving body is defined by r(t) = costi+ sint j + (2 - sint)k. (i) Show that the…

A: The path of the moving body is given by rt=cos t i+sin t j+2-sintk. The given cylinder is x2+y2=1…

Q: Solve a and b

A: Consider the given: When the cross section is square: Side of the square = 1−y13Area of the…

Q: Gasoline is pumped into a cylindrical tank with a radius of 16 feet and a height of 6 feet. The tank…

A: a) The rate of pumping gasoline inside the tank is R(t)=1000e-t220 cubic feet per hour while the…

Q: 3. Evaluate the following sums. (a) E (k-5k) (k* – k=-1 (b) E(i+2)3 Zi bi+ 1a %3D 3. i=1 3.

A:

Q: 8 a) Solve the recurrence relation an an-1 + an-2, n 22, ao = 1, a = 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Here are the midterm marks of 8 students from STA201 in the Summer 2020 Semester. 23 18 17 24 27 18…

A:

Q: (b) Consider yı and y2 as two solutions for the following DE where yı = x-1 and the Wronskian of the…

A: b Given differential equation is y''+pxy'+qxy=0.......1. And y1, y2 be the two solutions of the…

Q: .... et A = (0,0) and B = (12,5). There exist points on the y-axis that are twice as far from B as…

A: a) Consider the graph:

Q: Identity or Equatio 2 cos x = 1- sin x Equation tan“ x - 2 sec? x = 1 Equation

A:

Q: You are the operations manager for an airline and you are considering a higher fare level for…

A: Note- Solving part B only.

Q: 2. Let A be the matrix 0 1 2 (a) Find a QR factorization of A. (b) Find a singular value…

A: We obtain QR factorization of A and Singular value decomposition (SVD) of A. For complete solution…

Q: According to a study done by a university student, the probability a randomly selected individual…

A: sample size(n)=10p=0.267Let "x" be the no. of individuals do not cover their mouthx~…

Q: Suppose T and Z are random variables. a. If P(T> 2.52) = 0.02 and P(T 0.36)=P(Z 0.36).

A: The provided information is…

Q: On average, indoor cats live to 12 years old with a standard deviation of 2.4 years. Suppose that…

A:

Q: Solve the following triangles: (a) a = = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7;

A: To solve the triangle, we use the Law of Cosines to find one angle of the triangle and the Law of…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.