The family of all finite subsets of a countable sets is countable.

Q: how much should you set aside and invest in a fund earning 9 compunded accumulated 200000 in 3 years…

A: Given, Total accumulated wealth= 200,000Rate, R= 9%=0.09Time ,t=13 ( quarterly ) To find: Amount to…

Q: Find the solution.

A:

Q: 8 You have decided to buy a new stereo system for $2500 and agreed to pay in 30 equal quarterly…

A: We want to find value of n.

Q: With the following system of equations 3 x+2 y 4.5 2 x+ 3 y-z 5 - y+2z -0.5, %3D set up the…

A:

Q: Us an first raflects O Find the trans-formation that vectors thorough the x-axis and then' gotates…

A:

Q: consider the following theorem,and prove if uniqueness be preserved if f'(z)>0 is replaced by f'(z)…

A:

Q: 2. Mr. Ablan borrowed P25, 000 to start a market stall, at 14% simple interest. If he paid P10,000…

A: Given that Mr.Ablan borrows P25,000 at 14%S.I. and pays back P10,000 after every six months. (a)…

Q: :Find the inverse transforms of the function 3 G(s)= 3s? +12 s² – 49 S |

A:

Q: Determine if the statement below is true or false. Justify your answer. If f"(c) = 0, then (c.f(c)…

A:

Q: [1 1 1 If A = 1 1 3"-1 3"-1 3"-1 prove that A" =| 3"-1 %3D 1 1 3"-1 for 1 3"-1 all values of n e N.…

A:

Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

Q: find a real root of the equation x-4x-9 0

A: Let f(x)=x3-4x-9 Substitute x=1,2,3 one by one in the function to obtain the corresponding values of…

Q: equation a2 – 2 = 0. What is the iteration formula?

A: Given, the nonlinear equation                        x2-2=0

Q: z-sin z Consider the function f (z) z3 The Laurent series of f (z) around 0 is : z2 а) 3! -- .. 5!…

A:

Q: Use Lagrange interpolation to approximate y at x=c from the following tabulated values: C+3 Y3 C-1…

A: We know the Lagrange interpolation polynomial is…

Q: Find the inverse of the following matrix: 1 2 1 2 -1 2 1 1 -2

A: Introduction: A square matrix can have an inverse matrix. When the square matrix of order n×n has…

Q: Expand f (2) = Tnin powers of (z – 11). Also clearly mention the domain in which this expansion is…

A: For the solution of the problem follow the next steps.

Q: 4. What principal must be deposited in a 4.5% saving account compounded monthly in order to have a…

A:

Q: Find the volume of a parallelepiped if four of its eight vertices are P(0,0,0), Q(3, 4, 0), R(0, –3,…

A:

Q: We consider the regular as well as semi-regular tilings of the plane by regular polygons where some…

A:

Q: 1. Use disk or washer methods: Determine the volume of solid endosed by y = vx- 5 and x 14, about:…

A: As per our guidelines, we are supposed to solve only first question with first three subparts.…

Q: 1- cos t Find the Laplace transform of

A:

Q: Q 2- use Newton-Raphson method to obtain a root of equation x'- 2x + 3x -5 = 0 %3D

A:

Q: z-sinz Sco dz is -3 3 а) 0 b) – ni с) 2пі 2ni d) 7!

A: Given integral is ∫cz−sinzz3dz, where c is given curve, We have to evaluate the given integral.…

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

A:

Q: [12저 + 3r,-5xg=1 3x, + 7x, +13x, = 76 with [æ, x%, x%] = [1,0, 1] L저 +5x, + 3.rg = 28

A: To solve the system of equation by iterative methods first we will rearrange the equation then one…

Q: Find the value of zo so that dz = -2ni Pst-12 (= – z0) (z – 14i) |

A: Given ∮|z|=12z(z-z0)(z-14i)dz = -2πi

Q: Using conditional proof, show that ¬q → s can be derived from the following premises: p → (q → r),…

A: “Since you have posted a question with multiple sub-parts, we will solve the first and second…

Q: Prove that ord,(a + b) > min(ord,a, ord,b) with equality holds if ord,a ± ord,b.

A:

Q: Question 2 Let z, and z, be two complex numbers such that z, = 3+ 4i and zz = 2 – 2i. Compute the…

A: The given problem is to compute the values of operations of  complex expressions. Given complex…

Q: 3 (a) Using Kruskal's method, find a minimum spanning tree of graph A (b) Using Prim's method, find…

A: Use Kruskal's and Prim's algorithms.

Q: 2. Find the adjacency matrix and the incidence ma- trix for the following graph. D. e2 e1 €3 C6 CA…

A: We know that , an adjacency matrix is square matrix used to represent connection between vertices.…

Q: Evaluste for 2: 0SIS1,0Sy s3. dr dy .

A: The sum rule of exponent states that ap+q=ap·aq. Use the sum rule of exponent to simplify the…

Q: n the sketch at right, lines a, b, and c represent railroad tracks. Which of t arallel? Use angles…

A: Find the measure of angle 1 70°+∠1=180° straight angle Therefore ∠1=180°-70°∠1=110°  similarly find…

Q: Question 7 Which of the following is a false statement if arbitrary matrices A, B, and C for which…

A:

Q: a) Using elementary row operations 2 to matrix 4 1 (ERO), convert matrix A = 3 3 B = 2 4 1 Is it…

A:

Q: A software entertainment company recently ran a holiday sale on its popular software program. Using…

A:

Q: Using Laplace transforms, solve the differential equations (D+ 1) y, +(D - 1) y2 = e-! (D+ 2) y, +…

A:

Q: A Suppose A E Mn(R)and B. Find the eigenvalues of B = LA in term. 2A of the eigenvalues of A.

A: Introduction: A block matrix, also known as a partitioned matrix, is a matrix that is interpreted as…

Q: Find the gradient vector field of f. f(x, y) = xexy Vf(x, y) = Need Help? Read It Watch It Master It

A:

Q: Write the equation in spherical coordinates. (a) 5z2 = 8x2 + 8y2 (b) x2 + 3z2 = 7

A:

Q: Which of the following mfnite senes are convergent? Select all that apply. 100 %3D = 100+50+25+...…

A: We need to check whether the given series are convergent or divergent. First we will check for ,…

Q: Find the solution. dy 2y dx A y = x?(x-c)-2 B y = x³(x+c)3 y = x (x+c) D y = x²(x+c)2

A:

Q: 2.) Test the series for convergence or divergence. a0 sin(n+)* Hint: Use the Alternating series…

A:

Q: Prove by contrapositive. if x and y are integers such that x > 1, and x divides y, then x / (у +1)…

A: Solution:     x and y are integers, such that          x > 1.   Now if possible, let's say x…

Q: Consider the following differential equation, with time domain tE (0,1): y" = 2ty + t?y', %3D y(0) =…

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

Q: Find the Laplace transform of the function (Half wave rectifier) sin wt for 0 <t < f (t) 2 TT for IT…

A:

Q: 6Chair made in 2 houss how

A: Two hours are required to make six chairs. It follows that one hour is required to make 62, i.e., 3…

Q: Consider the augmented matrix, 2 -3 An elementary row operation was performed leading to the…

A: We want to find performed operation

Q: Question 10 Find the area enclosed between y = 3x and y = x3

A: