Show that for positive integer n: (-1)" - 22n . n! VT. (2n)!

Q: 33. Day Trader wants to invest a sum of money that would generate an annual yield of at least…

A: The minimum annual yield from the stocks must be $10,000 at least. Blue chip stocks gives an average…

Q: 3 2 25 +5² +85 +6 (S²+4) (S²+1)

A: Given that L-12s3+s2+8s+6s2+4s2+1

Q: Around 1910 , the Indian mathematician Srinivasa Ramanujan discovered the…

A: As per the question we are given the famous Ramanujan's π series and we have to show that the…

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: Given Data: Let us consider the given data, Mean μ=3.5Standard deviation σ=3.5n1=2n2=13 To Find: The…

Q: (b) Write equations that express the Cartesian coordinates$(x, y)$ of a point in terms of the polar…

A: Given any x, y point. We have to write x, y into polar coordinates.

Q: Use the shell method to find the volumes of the solids generated byrevolving the regions bounded by…

A: Given curves and the lines are: y=x, y=1. To Do: We have to find the volume of the solid generated…

Q: C. Find the solution of the following differential equations using Separation of Variables. 3.…

A: (3)  Given differential equation is                                                      x+xdydx=y+y…

Q: Apply the bisection method to determine the maximum of the function f(x) = −x³ – 5x+8 Stop your…

A: To apply : Bisection method at the function f(x) = -x3 - 5x + 8

Q: In the Ma-and-Pa grocery store, shelf space is limited and must be used effectively to increase…

A: We will formed a linear programming and solve it graphically using corner point method to find…

Q: Find the general indefinite integral. Illustrate by graph -ing several members of the family on the…

A: As per the question we are given the indefinite integral :  ∫ x √x dx And we have to find the…

Q: If ƒ(x, y) = (10,000 ey)/(1 +| x|/2) represents the “population density” of a certain bacterium on…

A: Given that the function fx, y=10000ey1+x2 represents the population density of a certain bacterium…

Q: Evaluate y[n] = technique and graphical =x[n] h[n], where x[n] and h[n] are shown in Figure 1, by an…

A:

Q: -necal solution to y² + xy¹+yсo by the power godi

A:

Q: 2. A size 36 shoe in France is size 3.5 in England. A function that converts shoe sizes in France to…

A: A shoe of size x in France has a size of gx in England where  gx=3x-944 A shoe of size x in England…

Q: Find the least-squares solution of the system 1 -6 0 0 -14

A: Least square solution of  Ax→=b is  ATAx*→=ATb

Q: An ideal A of a commutative ring R with unity is said to be finitely generated if there exist…

A: Given:A is an ideal of a commutative ring R with unity. Also, there exists a1, a2, . . . , an∈A such…

Q: & Determine the feasible space for each of the following independent constraints, given that t₁,…

A:

Q: Special line integrals Prove the following identities, where C isa simple closed smooth oriented…

A: Given that C is a simple closed smooth oriented curve. We have to prove that ∮Cfxdx+gydy=0, where f…

Q: Systems of ODEs of higher order can be solved by the Laplace transform method. As an important…

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Q: Min -x₁-3x2 2x₁ + 3%₂<b -X₁ + X₂ ≤1 XI -X₂7°

A:

Q: ¯'x' = 47] [²] + [²³=_=+ e 4 t ] 3 — e4t- -te4t 2 L6 3.

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Q: Show that the sequence $a_{n}=\frac{n}{n^{2}+1}$ is decreasing.

A: The given sequence an=nn2+1. We have to show that the sequence is decreasing.

Q: 4. Determine the convergence of 3n (n²) n! a. b. Σ 3 Σ- 2 r(Inr)² r=2 T

A:

Q: d) By plotting the solution obtained in part (c) using any computer package, display the initial…

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Q: Evaluate the integral ∬R(x2+y2)dxdy, where R is bounded by the lines y=x, y=x+a, y=a, y=2a (a&gt;0).

A: The region is bounded by  y=xy=x+ay=ay=2a We have to evaluate ∬R x2+y2 dx dy.

Q: Verify that sin u − u cos u + C =∫u sin u du. Use FIRST part to show that      ∫π0 sin√x dx = 2π.

A: Our aim is to verify that ∫u sinu du=sin u-cos u+C. Using this integral to find the value of…

Q: Use Newton’s Method to approximate the zero(s) of the function. Continue the iterations until two…

A: The given function fx=-x3+2.7x2+3.55x-2.422. We have to find the zeros of the function by using…

Q: S ALGEBRA 2 Challenge ESCAPE E 1AB |6|19|1|15|22|10/ W X 23 8 17/13 U QR 2/2 Y C Ⓒ Gina Wilson (All…

A: This problem is a set of algebraic equations which are arranged in a puzzle of letters. Roots of…

Q: Given matrix A and its first two eigenpairs: A = -4 a b C 2 d e f -2. === A₂ = -2,2₂ = A₁ = 1, ₁ = 0…

A:

Q: Find the length (magnitude) of a function gradient z(x,y)=√√2+sin(x²)— y² at the point P(√, 1).…

A: The gradient of a function is a vector that points in the direction of the greatest rate of increase…

Q: Consider the R³ vectors v₁ = B. 3 23 V2 = 2 H -1 and v3 = D 3 (a) Find a linear dependence…

A:

Q: Linear and quadratic vector fieldsa. For what values of a, b, c, and d is the fieldF = ⟨ax + by, cx…

A: Given vector fields are: (a) F=ax+by, cx+dy. (b) F=ax2-by2, cxy. We have to find the values of a, b,…

Q: Find the limits. Write ∞ or -∞ where appropriate. limx2 - 3x + 2/x3 - 4xas What, if anything, can be…

A: The given function is fx=x2-3x+2x3-4x. To Find: Limit of the function as x→0.

Q: decide if the given statement is true or false,and give a brief justification for your answer.If…

A: The given differential equation is x2y''+4x+12x2-13x3y'-74y=0. We have to check roots of the…

Q: The circular probable error (CPE) is a measure of accuracy for a shooting system of a toy rifle at…

A: Answer given below.

Q: Find the indicated sets with A, B, and U defined below. (Enter your answers as a comma-separated…

A:

Q: Evaluating line integrals using level curves Suppose the vector field F, whose potential function is…

A: Given: The vector field F, whose potential function is φ, is continuous on ℝ2To find: The value of…

Q: Let T: P3 → P₂ be the linear transformation given by 2 T(p(x))= dp(x) dx where P3 and P2 are the…

A:

Q: If $\Sigma a_{n}$ is a convergent series with positive terms, is it true that $\Sigma \sin…

A: Given: ∑an is a convergent series with positive terms. To check whether ∑sinan is convergent or not.

Q: Question 23 Assume that A is a 3 x 3 matrix and A has two pivots in the echelon form. If solution of…

A:

Q: Indicate whether the following functions are Riemann integrable or not on [0,1]. (i) f(x)=x-2 (ii)…

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Q: Show that the change of variables y = x/2u trans- forms the differential equation y"+(1-) -0 3 y 0…

A:

Q: Solve by using formulas. (Round your answer to the nearest cent.) Present value (in $) of an annuity…

A: Given That: P = Amount of Annuity Payment= $1,800 r = Nominal Rate = 5.9% or 0.059 n = Time Period =…

Q: Suppose that f(t) is periodic with period [-, ) and has the following complex Fourier coefficients:…

A: Given : f(t) is periodic with period [-π, π)and has the following complex Fourier coefficients : ...…

Q: In the Ma-and-Pa grocery store, shelf space is limited and must be used effectively to increase…

A: The allocation of shelf space in a grocery store is an important factor in maximizing profit. In…

Q: Grand Canyon Tours offers air and ground scenic tours of the Grand Canyon. Tickets for the 7.5 -tour…

A: Given : Tickets for the 7.5 -tour cost $ for an adult and $ for a child, and each tour group is…

Q: 5. Given that the particular soloutive of y" - y² = (osx+ sinx hus the form yp= = Acosx + Bsinx.…

A:

Q: In a 2013 study, Jonason, Jones, and Lyons studied the differences in personality traits of 263…

A: To find : The population of the study based on the question given.

Q: Streamlines and equipotential lines Assume that on ℝ2, the vectorfield F = ⟨ƒ, g⟩ has a potential…

A: The vector function F=f,g. It has a potential function ϕ such that f=ϕx, g=ϕy. It has a stream…

Q: (a) Suppose that $\Sigma a_{n}$ and $\Sigma b_{n}$ are series with positive terms and $\Sigma b_{n}$…

A: Given: ∑an and ∑bn are two series with positive terms and ∑bn is convergent. We have to prove that,…