'> > |ux| 'N ZuA 'N (b) 3N E N, Vn > N, Ve > 0, n| < e.

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: S"(e*sin²x – e**cosx) dx B)

A: The formula of integration using by parts:       ∫fg' =fg - ∫f'g

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…