(b) Show lim Sn = +∞ if and only if lim(-sn) (c) Show that if lim sn = = -∞. +∞ and k < 0, then lim(ksn) = -∞.

Q: Approximate the area of the graph of the ellipse 4x² +9y² = 36

A:

Q: A person has undertaken a construction job. The probabilities are 0.80 that there will be a strike,…

A:

Q: (1) Let S be the smallest set of positive integers such that (a) 2 is in S, (b) n is in S whenever…

A:

Q: Question 5 The feasible region of the graphs of two inequalities shown beside is being considered.…

A: Feasible region :   A feasible region is the common region that satisfies all the inequalities of a…

Q: Analyze and Persevere Are 7 - 4 and (-4) + 7 equivalent? Why or why not?

A: 7-4 mean started from 7 and goes opposite direction by 4 units. while (-4)+7 mean started from -4…

Q: solve question b b) lotice that this graph does not have an Euler Circuit. (Why?) What is the…

A:

Q: Solve for x in the following equations. 2. log(3x + 7) = 1 - log x

A:

Q: Consider the graph of f'(x) below. Select all of the following points at which f(x) has a local…

A:

Q: in theory graph Define the private neighbour ? and give examples

A: We have to define private neighbor in graph theory

Q: 7. fn(x)= 1 - I 1+x -, 0≤x≤1. Evaluate lim n→+∞0 [0,1] fn. What limit result is/are applicable?

A:

Q: Question 13 1 E = Let E be the 3 x 3 matrix that corresponds to the row operation R3 = R3 - 3R₁. a.…

A:

Q: Determine whether the following statements are TRUE, FALSE, OR INDETERMINATE (could be either true…

A: The given statements are: 4) EITHER a bat is a mammal OR crocodiles fly. 5) IF 5 is less than 10,…

Q: For each of the following vector fields, find its curl and determine if it is a gradient field. (a)…

A: Given :  F→= 2 yzi→ +2xz+z2j→ +2xy+2yzk→ G→= 2 xy+yzi→ +2x2+z2j→ +5xzk→H→= 4 xy+2x3i→ +2x2+z2j→…

Q: Quadrilateral HIJKHIJK has vertices H(−1, 3)H(−1, 3), I(2, 3)I(2, 3), J(2,−1)J(2,−1), and…

A:

Q: 4. Write out the first three terms of the sequence, then determine if it converges or diverges by…

A:

Q: Rate of Change The width of a rectangle is increasing at a rate of 3 inches per second and its…

A:

Q: 1. Let p be an odd prime and g be a primitive root mod p. Show that Z = {gik : k = 1,...,p-1} if and…

A: please find the attached image.

Q: Write down the interpolation error term for the above polynomial, and identify the polynomial. 2.…

A: We are given the following polynomial and function.…

Q: Find all of the zeros of the following polynomial functions by the method outlined. List all…

A: Given :  b kx=3x4-11x3-x2+19x+6d hx=x6+2x5+11x4+20x3+10x2 To find : i List all possible rational…

Q: 216 CHAPTER 3 13. x³y²-4x²=1 15. x³+³=x³3 17. x²y + y²x = 3 Techniques of Differentiation Use…

A:

Q: You may use a software to do calculations but you have to write down the details. The correspondence…

A:

Q: 7. fn(2)= =1,0 ≤ x ≤ 1. Evaluate lim + x n→+∞0 fn. What limit result is/are applicable? [0,1]

A:

Q: 3. Using mathematical induction, prove that the Binomial formula holds for complex numbers (Z1 +…

A: Let us consider that, pn=z1+z2n=∑k=0nnkz1kz2n-k put n=1,…

Q: 5 a) Compute II i=1 (i + 1)² Express your answer as a simplified fraction. b) Find a simplified…

A:

Q: 1. Determine the matrix of the linear operator L with respect to the basis B = {1, 2, 3} where L(1₁)…

A: Since you have posted a multiple question according to guildlines I will solve first(Q1)   question…

Q: (E) y-2= (x+4) 2 2x+y=14 (F) y=-2(x-4) +2 1 y=-x+3 3

A:

Q: Consider a nonnegative measurable funct that m({x € E : g(x) > M}) ≤ √ √ ² 9. M E Hint: Consider the…

A: Given a nonnegative measurable function g defined on E. If G is integrable over E. We have to prove…

Q: 6. A particle moves according to a law of motion s(t) = t³-12t² +36t, t≥0, where t is in seconds and…

A: The position of a particle st=t3-12t2+36t, t≥0, where t is in seconds and s is in meters. We have to…

Q: Use an For all sets A, B, and C: If (A U B) ≤ C, then element-chasing argument to show that: (AB) =…

A:

Q: Each of the n urns contains 4 white and 6 black balls. The (n + 1)th urn contains 5 white and 5…

A:

Q: You may use a software to do calculations but you have to write down the details. The correspondence…

A: We see gcd(11, 27) = 1. Hence 11 has an inverse element mod 27. 11.5 = 5.11 = 55 (mod 27)…

Q: ould be either true or false). ample: THER dogs bark OR cows croak. TRUE V FALSE ANSWER: TRUE (A…

A: Please five the answer in the next step

Q: 7. Suppose that A is an n x n matrix. a. For each eigenvalue λ of A, prove that λ² is an eigenvalue…

A:

Q: U 39. y = 1/2+ +==x-x² U

A:

Q: •][₁ ry dA, where R is the region in the first quadrant bounded by the coordinate axes R and the…

A: The given problem is to evaluate the given double integral over the given region R of first quadrant…

Q: 1. (LT-3) Use the Laplace transform to solve the initial value problem: y"+y' - 2y = 128 (t2) - 128…

A: Using Laplace transformation and inverse Laplace transformation we can find the solution of…

Q: 1) The diagram shows the straight line L₁. Points A (-9, -1), M(-3, 2) and C are points on L₁. M X M…

A:

Q: 3 Find the smallest natural number on such that n!> n³ for all natural numbers n=m, and then verify.

A: We have to find the smallest number m such that n!&gt;n3 for all natural numbers n≥m. Now, we have…

Q: Determine if the series converges or diverges. If it has both positive and negative terms, determine…

A: The given series ∑5+3-1mm4+3m We have to find its convergence.

Q: A lot contains 20 articles. The probability that the lot contains exactly two defective articles is…

A: There are 20 articles in total. Let B1 be the case when the lot contains exactly two defective…

Q: Obtain the Legendre transformation and its inverse from the following function:…

A: The given function is fx,y=10xy-3x2+6y2. We know that, the Legendre transformation of a function…

Q: Evaluate ſç(2x + z², − 3y + x, 6z − 4y) · ds where S is a sphere of radius R=3 and center the axes…

A:

Q: In order to pay for college, the parents of a child invest $25,000 in a bond that pays 6% interest…

A: Bond Amount =$25000=P ROI = 6% = 0.06 Compounded semi annually so n =2

Q: x63x560x4 + 720x2dx, using (a) Gaussian quadrature with n = 2, (b) Gaussian quadrature with n = 3,…

A:

Q: Read the micrometer. 10 5 1 2 -15 -10 -5 The length shown on the micrometer is (Type a whole number…

A: Equation for Micrometer measurement= Sleeve scale reading +Thimble scale reading+ (Matching line on…

Q: xy - 1. Let f: R² → R where f(x, y) = 0 if (x, y) = (0,0) and f(x, y) = ² + y² if (x, y) = (0,0). -…

A:

Q: (a) Sketch the curve y(t) = 3i+2eit, 0≤ t ≤n.

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

Q: Find the matrix A' for T relative to the basis B'. A' = T: R² → R², T(x, y) = (x − y, y - 2x), B' =…

A:

Q: Consider the function f(x) = √x+4 0 0 < x≤ ²/ 2 < x < 3 2 on the interval (0, 3). The Fourier sine…

A: As per our company policy, we are supposed to answer only the first three sub-parts for you. The…

Q: the temperature at 10 pm was 2.7 celsius. at midnight the temperature start dropping "-0.4" celsius…

A: