Prove that N x Q is countable. (Hint: Begin by enumerating the rationals using a theorem from the book.)

Q: Find the interval of convergence for the power series 710 -1)n n gn 22n Give your answer using…

A:

Q: 6. Use Laplace on the following: A. L(f(t)) {since) (sin(t) 0 ≤ t ≤n et t> π f(t) =

A:

Q: Solve the system. 2x - 2y + 2z = 4 4y + 2z=10 2z = -2 (x, y, z) = (

A: Here we have to solve given system of equation and find value of (x, y, z)

Q: The third column of the change of basis matrix from the basis B = [u= (1,1,1); v = (1,0,1); w=…

A:

Q: If ne Z, then n² + 3n+ 4 is even.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: -10 -8 -6 -4 -2 10 8 6 2 2 f -8 Y 10 2 6 8 +x 10 Identify the x-coordinate of the absolute minimum…

A: We know that an absolute minimum is a point where the function obtains its minimum possible value.

Q: If you pay $280 a month for your car for 48 months. How much did you pay?

A: It is provided that the monthly payment is $280 and the duration of the payment is 48 months. We…

Q: A company assigns to each of its employees an ID code that consists of one, two, or three uppercase…

A: There are total 26 uppercase letters (A, B, C,. . . . . . Z) and 10 digits (0, 1, 2, . . . . 9).…

Q: please expalin how you obtain it thanks

A: Please find the answer in the next step

Q: Consider the Euclidean inner product space B= {(1,1,1),(0,1,1),(0,0,1)}. Find an orthogonal basis of…

A:

Q: 31. Use Stokes' theorem to evaluate curl F. ds, where F(x, y, z) = −y² î + x + z²k and S is the part…

A: Given: F⇀x, y, z =-y2 i^+xj^+z2 k^ ,  x+y+z=1 , x≥0 , y≥0 ,z≥0. To find: ∬S curl F⇀·dS

Q: = {(-+). (1)·()} Let T: R³-R², C canonical basis of R² and B = (₂² +z), then [7] corresponds to…

A: Let V and U be finite dimensional vector spaces of dimensions n and m respectively. Let…

Q: 4. Now do Neumann boundary conditions: Let x lie in the interval (0,1). Find u (x, t) so that (a) u…

A:

Q: If the minimal polynomial of a matrix A is m(2) – › − k then A is a scalar matrix kl. (/ is the…

A:

Q: The following table shows how a sample of 100 students are distributed in terms of hair and eye…

A:

Q: 18. Give a rough sketch of the solid that is enclosed by the paraboloids z = x² + y² and z = 18 - x²…

A:

Q: You want to buy a 2020 Honda CRV, those run $20,050. You are going to put $2000 down. How much would…

A: Given, Price of Honda = $20,050 Down payment = $2000 We will find how much amount to be paid by…

Q: Line in the xy-plane contains points from each of the Quadrants I, III, and IV, but no points from…

A: The slope of a line is the tangent of the angle made by the line with the positive x axis. The four…

Q: 2. Evaluate the given line integrals where C is the given curve T a) xsiny ds C is the line segment…

A:

Q: Consider the following curves in R³. State under what conditions they implicitly define y as a…

A:

Q: T([0])=[1.17] Check Answer and then rotates points about the origin by 4 radians.

A: Linear transformation and associated matrix

Q: If z 2 = Rep, then write za+iß as Ae B

A:

Q: ryzdS if S is the part of plane z = x + y that lies over the triangular region 32. Evaluate in the…

A:

Q: Use Taylor's formula for f(x,y) at (0,0) to find the quadratic approximations of f near the origin…

A:

Q: 12:51 >) [U20 (3)]= How many cosets of A4 in S4? Today 12:42 PM [ZxZ: Zx 4Z) = Edit Suppose H is a…

A:

Q: 3. To estimate the height of a mountain above a level plain, the angle of elevation to the top of…

A: Given that the angle of elevation to the top of the mountain is measured to be 32°. One thousand…

Q: Use the given graph of f'(x) to find the intervals on which f(x) is increasing, the intervals on…

A: Introduction: Calculus uses a function's derivative to determine whether a function is rising or…

Q: 2. Evaluate xz ds, where C₁ is the curve defined by C₁ R(t) = (Int, 3 - 4√t, 2t), 3-4√t, 2t), t€…

A:

Q: An underdeveloped try and a manufacturing matrix A. country has an agricultural indus- industry,…

A: Given, An underdeveloped country has an agricultural industry and a manufacturing industry with…

Q: algebra class - and in fact, they can all be considered as binary relations in the sense of…

A: Given: Using symbol < we can define the following binary relation on ℝ as  R<:=x,y∈ℝ×ℝ|…

Q: The differential equation xdy - ydx = 1 B. X A. 2x³ dx can be made exact by using what integrating…

A:

Q: Determine whether the following series converges or diverges. In the case of convergence, state…

A:

Q: [2] [Derivation of Simpon's Rule] In this exercise will derive Simpson's rule using Taylor's…

A:

Q: 5. Given (1 + x²)y" + 2xy' + 4x²y = 0. Without solving the ODE, determine the lower bound for the…

A:

Q: Consider the function f(x) = x²e5. f(x) has two inflection points at x = C and x = D with C < D…

A:

Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (10, 10) along the…

A:

Q: For any 1-forms w₁, W₂ we have w₁ ^ W₂ ^ W₁ = 0. For any 1-forms w₁, W2, W3 and scalar A ER we have…

A:

Q: algebraic over k(α₁, ₂,..., α). Therefore, [k(α₁, ₂,..., an) (an+1): k(α₁, ₂,..., α₁)] is finite. By…

A:

Q: wn words, describe how to apply Langranges

A:

Q: (True/False) Suppose G is a group of order 25. Then every proper subgroup of G is abelian.…

A: (a) We know any group of order p2 is abelian where p is a prime number. Also, any subgroup of an…

Q: da dt with the initial value x(0) = Solve the system 2-1 [] 46 x(t) = -1 6 [3] [8] x

A:

Q: Find the area enclosed by the function f(x) = cos x + sen x , the x-axis and y-axis . (note: cos…

A: There are two regions. Denote these by R1 and R2.  You asked only area of the region. By your note…

Q: 7. Let f(p, 0, 0) = p be the density function for the solid V where V= {0≤p≤2, π/4 ≤ 0≤ñ/2, 0≤ 0≤…

A:

Q: Construct a truth table for the proposition and determine whether the statement is a contingency, a…

A:

Q: Define T: P₂ → P₂ by Find the eigenvalues. (Enter your answers from smallest to largest.) (21, 22,…

A:

Q: the degree?

A:

Q: series of cards is drawn from a deck (without replacement).  What is the chance that you get 2 cards…

A: Probability of drawing cards of spades and Hearts

Q: 4. Use a power series centered at x = 0 to solve y" - y = 0.

A:

Q: The following vectors are linearly independent in R2 u=(1,2) v= (2.1) O True False

A:

Q: Jill, Kim, and Erin start at the same time, walking around a circular track, walking in the same…

A: