. Let X be a topological space, and let A be a subset of X which is both op closed. Show that A is a union of connected components of X.

Q: Noah says, "I worked the problem from left to right and ended up with `20-45x`."

A: NO, I don't agree with Noah. His approach is incorrect.

Q: Define a relation R on N by m R n if and only if m #n. Explain why 8. this relation is or isn't…

A:

Q: 3) Find the Fourier transform of the signal in the figure below. g(t) -7 10

A:

Q: The function f has continuous second derivatives, and a critical point at (-5, -7). Suppose fxx(−5,…

A:

Q: 3. If p is true, c (F), or if you true or false, Statement Truth V pVr T F

A: Given that p is true,q is false and r is false and w is not known.

Q: Using double integrals, find the volume of the octahedron with the following 8 faces: z = ±1 + x z…

A: Please find the attached image.

Q: c. As the softball sails through the air, a defensive player raises her hand and catches the ball in…

A:

Q: (2)(-_ A) f(x, y) = 2²-y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show…

A: The level curves of a function f of two variables are the curves with equations f(x,y) = k, where k…

Q: 1. How can you prove a statement of the form (Vx, P(x))? Provide examples.

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: Define a relation R on the real numbers as follows: x Ry if and only if [x-y] = 0. Is R an…

A:

Q: 180 I The weekly average costs, in dollars, of the We-Are-Drones is given by C +49 + where I 21…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 33. Using base four, what is the smallest four-digit number that can be represented, numbers that…

A: 33. For numbers in base 4, we use digits from the set {0, 1, 2, 3}. That is a number in base 4 is of…

Q: Compute the orthogonal projection of u onto v. Use the square root symbol '' where needed to give an…

A:

Q: For any two vectors u and v use the definition of the cross product in coordinates to prove that u ×…

A:

Q: Compute the line integral of the vector field F = (3y, −3x) over the circle x² + y² = 81 oriented…

A:

Q: Give an example of an open sentence P(x, y) so that the quantified statement ( Eyvx, P(x, y)) is…

A: Consider the open sentence                                          P(x,y) : x + y is prime number.…

Q: 3. Write the new equation of the function transformed from y = x³ using the following information:…

A:

Q: Round off to 3 decimal place The 3x3 system below has solutions x₁ = 1, X₂=-2 and X3=0 4x+2X₂-2x3 =…

A: (ii) asked and answered.

Q: To disprove that q: ZxZ→ Z, g(x, y) = x+y is injective which pairs of x- and y-values we need to…

A:

Q: If f(x) = ln(cos 2x) then find the slope of the graph of f(x) at x = π/8.

A:

Q: a. If the circle has a radius of 2 cm, what is the terminal point's distance to the right of the…

A: This is a problem of Analytical Geometry and Euclid propositions,

Q: B= - A and - A- The set B- (a) The B-matrix of Tin other words, the matrix of T relative to the…

A:

Q: 3p + 151. Suppose the demand for a product is given by D(p) = A) Calculate the elasticity of demand…

A: Demand function: D(p)=-3p+151 Elasticity of demand is given by E(p)=-[pD'(p)]/D(p)

Q: Find the general solution of the following differential equations: 5. 2xyy' + x² + y² = 0

A:

Q: 7. 5 R 3? Is 2 R 8? Is 8 R 2? Define a relation R on Z by x R y if and only if x-y ≤ 3. Is 3 R 5? Is

A:

Q: 3 19.

A: We use nearest neighbour Algorithm to solve given problem. We find nearest neighbor from  vertex E…

Q: B. Solve the problems related to the application of First Order Differential Equations. 5. Mixture…

A: Let the amount of additive in tank after t minutes. Also,  dxdt=inflow rateconcentration of inflow-…

Q: 6. Is the set of points {(x₁, x2 + 1) |x₁, x₂ € R} a subspace of R²? 7. Is the set of points…

A: Subspace of the vector space

Q: A couple needs $34,746.97 as a down payment for a home. If they invested the $11,000.00 they have at…

A:

Q: Create a flow proof of each of the following results. Remember in a flow proof each step should be a…

A:

Q: 3. Define a relation on the real numbers as follows: x Ry if and only if x² + y² = 1. Determine if R…

A:

Q: Graph each function. How is each grap y = (x+3)² +4

A:

Q: True or False: (1) There is a solution of y' = 24, which is decreasing when x < 0. (a) m1 2

A:

Q: 2. How do you prove a statement of the form ( 3x, P(x) )? Provide examples.

A: To prove a statement of the form (∃x P(x) ), we need to find an example value x such that P(x) is…

Q: 13. Prove that if n ≥ 2, then 2 - 1 is not divisible by n.

A:

Q: Find all values € Such that y will be in the subspace of R³ spanned by 4 2 Y = [] = 1 =

A: If n vectors of a n-dimensional vector space are linearly independent then the spanning subspace is…

Q: Prove that 3 devides 17k+1-2*5k+3+11k+3whenever k is a non-negative integer.

A:

Q: AABC has vertices A(4.5), B(2.1). and C(7.3). Write the equation of the altitude drawn from vertex B…

A: The equation of the straight line passing through A,C is…

Q: 7) For which values of the parameters 'a' and 'b' the system does have either i-unique solution or…

A:

Q: Calculate the integral of ƒ(x, y, z) = 2x² +2₁² + zº over the curve c(t) = (cos t, sin t, t) for 0 ≤…

A:

Q: gram for a function f(x, y) is shown below. 5 26 + 3 27- 2 28 29 1 25 2 23- w/... 3 30 22 24.…

A:

Q: Find the general solution of the following differential equations: 8. xdy - [y + xy³(1 + ln x)]dx =…

A:

Q: Find the absolute maximum and minimum of the function f(x, y) = y√x - y² − x + 3y on the domain 0 ≤…

A:

Q: . Let f(x) be the function with McLaurin series xn n². n=0 (1) Find the McLaurin Series of f'(x).…

A:

Q: Find the general solution of the following differential equations: 3. dy dx = X (x²y+y³)

A:

Q: A fundamental fact is that if we are working on a closed, bounded inter [a, b], then any continuous…

A:

Q: 9. Write the Egyptian numeral for 1,234,567.

A:

Q: How long (in years) would $12,000 have to be invested at 5% compounded continuously to earn…

A: Compound interest formula

Q: 1. Let Z be the set of integers, and let B be the set of all subsets of Z of the form {n} with n…

A:

Q: Find the local and global extrema to the nearest tenth for the graph of ƒ(x) = –x3 + 9x – 1. A.The…

A: Let us consider the given function f(x) The maxima and minima is obtained as Find f'(x) and put it…