The inductive step of an inductive proof shows that for k≥4, ifk! 22, then (k+1)! ≥ 2+1 However the lines are not labeled with the proper justification. Which line should be labeled "Because &≥421? (k+1)(k+1)k! (Step 2) (+1)(k+1) k (k-1) (k+1)≥ (k+1)-2* (Step 3) 2-1 (Step 1) (k+1)≥2.2 (Step 4) (+1)≥ 2 (Step 5)

Q: (2). This problem involves solving an integral equation for y(x) using Fourier Transforms. The…

A: Solution for question is explained below Explanation:Step 1:

Q: For 7 years, Janet saved $450 at the beginning of every month in a fund that earned 4.75% compounded…

A: a) Balance in the fund at the end of the period is $ 44,915.74/.  Rounded off to two decimals b)…

Q: 1. Show that if x is a real number and m is an integer, then [x+m] = [x] + m 2. Draw the graph of…

A: first image is for Q2 and second image is for Q1Explanation:

Q: Identify each of the following matrices as either symmetric, skew-symmetric, or orthogonal. Prove…

A:

Q: 8. True or false: If f is analytic at each point of a closed contour I, then fr f(z) dz = 0. If true…

A: The objective of the question is to determine the validity of the statement: If a function f is…

Q: Solve the following initial value problem by a power series out to at least the x5 term and evaluate…

A: Given differential equation

Q: The neutron diffusion equation with a (plane) source at x = 0 is d² f(x) dx² · + w² f(x) = Q(x)…

A: Final answer:(A): The equation is satisfied by F(k) is:F(k)=Q/w^2-k^2(B): The solution for F(k)…

Q: Maximize Subject to Maximum is X = y = z = 5x + 2y 2x + 5y ≤ 40 6x + 4y 54 > 0 > 0 X Y at

A:

Q: Below is an edge-weighted graph. a Start 12 10 8 с 12 11 3 9 11 10 Find a circuit that visits all of…

A:

Q: Plz explain properly.

A: The objective of this question is to find the Cartesian product of sets A and B, the relations R and…

Q: As discussed in the Mythical Man Month, consider the situation shown below where the time to…

A: Number of workers is :The time taken by 3 workers is :The main aim is to find the number of…

Q: 10. Consider the curve X(t) = (t², t³ - at), where a is a real number. Calculate the curvature…

A: The curve is :The aim is to calculate the curvature function

Q: Solve the following Transportation problem using a) North West Corner Cell Method b) Least Cost…

A:

Q: (a) Find the interval of convergence of the power series (b) Find a simple expression for the sum…

A: The  given power series is  where (a) We have  to find  the  interval  of  convergence  of  the…

Q: 1. For each solution. congruence determine whether there is a J X² = -1 (mod 397) (397 is prime) CC…

A: We shall be using the result regarding the value of legendre symbol

Q: Suppose you are standing at a point on the equator of a sphere. parameterized by spherical…

A: Suppose you are standing at a point on the equator of a sphere, parameterized by spherical…

Q: Choose the power series solution to y" - 4xy + (4x2 - 2)y = 0. ○ (ao + α1x)ex² O None a² ○ (a +…

A:

Q: Solve the following systems of linear equations using Gauss-Jordan Elimination method.  0.25x –…

A:

Q: Since the birth of her daughter, 15 years ago, Kelsey has deposited $150 at the beginning of every…

A: Solution given below Explanation:Step 1: To solve this problem, we can break it down into steps:a.…

Q: Convert the following problem to standard form and solve: max x1 + 4x2 + x3  subject to 2x1 - 2x2 +…

A: see step 1

Q: Use a symbolic argument in Problems 29, 30, 31, and 32 to determine if the argument is valid or…

A: Given the statement that all mathematics are eccentrics, all eccentrics are rich, therefore all…

Q: the following equation cally in three different g 9 +119 = 69=0

A:

Q: A population N is controlled by the following discrete difference equation, specified in…

A: Given . The parameters are We will assume λ≠1.The fixed points for a difference equation are given…

Q: A professional athlete signs a five-year contract in which the earnings can be modeled by c =…

A:

Q: 1. Algebraically check if the following polynomial function has a point of symmetry at (0, 0) or a…

A:

Q: xy+3x-y-3 Find the general solution of the differential equation by using variable separable method…

A: Answer is in the below box. If you have any doubts at anywhere in the explanation or answer please…

Q: 28. Show that tan z = sin(2x) + i sinh(2y) cos(2x) + cosh (2y)

A: We can show the given identity.

Q: Solve the following systems of linear equations using Gauss-Jordan Elimination method. x – y + z +…

A:

Q: A completed project consisted of the following activities, many of which were delayed: Activity…

A: A completed project consisted of the following activities, which are listed in the table.Activity…

Q: turner video will invest $76,344 in a project. The firm's cost of capital is 10 percent. The…

A: Part (a):If the reinvestment assumption of net present value is used, the 10% required rate of…

Q: Succulent Citrus produces orange juice and orange concentrate. This year the company anticipates a…

A: The objective of this question is to determine the number of quarts of orange juice and orange…

Q: . Let V and W be n-dimensional vector spaces, and let T: VW be a linear transformation. Suppose that…

A:

Q: Find the order and degree of the differential equation:- d³y d4y dy + dx3 = 6xy dx4 dx .

A: The objective of the question is to find the order and degree of the given differential equation:…

Q: Find the Laplace transforms of the following functions: (a) f(t)=e³t sin 2t

A: Note: As multiple questions have been posted, thus only (a) has been solved according to QnA…

Q: Prove that these relations on the set of all functions from Z to Z are equiva- lence relations.…

A:

Q: Convert the second-order differential equation d²y dt2y=0 into a first-order system in terms of y…

A: Consider the given differential equation .We need to convert this differential equation into a…

Q: Let T be a one-to-one linear transformation from R* to Rs. 1. What can one say about the…

A: Given  is a one-to-one  linear transformation from  to .

Q: Rare Agri-Products Ltd. is considering a new project with a projected life of seven (7) years. The…

A: To answer these questions, we'll need to calculate several components, including Operating Cash Flow…

Q: Find the critical points of the function f(x, y) = x² + y² + 4x − 2y + 2. List your answers as…

A: To find the critical points of the function , we need to find the points where both partial…

Q: Find the absolute minimum and absolute maximum of on the closed triangular region with vertices (0,…

A: We have given, Find the partial derivatives:for critical points inside the region:  which is not…

Q: 1. Solve u₁ = kuxx; u(x, 0) = e¯x; u(0, t) = 0 on the half-line 0 < x < ∞.

A:

Q: Is 1326 a a triangular number? What about 1.37.8?

A: 1326 is the 51st triangular number because  and  is 1 more than 51.Similarl,1378 is the 52st…

Q: Let x = Express as a linear combination of 7₁, 72, and 73, and find Ax. Ax = be eigenvectors of the…

A:

Q: If and Q(x) = Ax, then Q(x1, x2, x3) = Enter x1 as x1, x2 as x2, and x3 as x3. A = 527 157 -7 -77 7…

A: We have to find Q(x1,x2,x3) with the help of given Matrix A.

Q: 18 dx 2x + x√x S

A: The objective of the question is to find the integral of the function 18(2x + x√x) with respect to…

Q: Problem #1: If f(x,y) is differentiable near (x, y) = (a, b), and u is any unit vector, consider the…

A:

Q: Determine a region of the xy-plane for which the given differential equation would have a unique…

A:

Q: uestion 2. Prove that P(ANB) = P(A) ^ P(B).

A: To prove P(A ∩ B) = P(A) ∩ P(B), we need to show that this equality holds for both independent and…

Q: 6. Prove that if A is invertible and AB = 0, then B = 0.

A: Given that A is an invertible matrix (obviously A is a square matrix), i.e. A−1 exists.We now prove…

Q: For each of the differential equations, determine the complementary solution, and then use the…

A: