1. Let A be an uncountable set and B C A such that there exists a surjective function f : Z+ → B. Prove or Disprove: The set A – B is uncountable.

Q: Check that the system Ax b with 1 3 1 A -1 and b 1 16 - 14 5 - 6 10 3 is inconsistent (note the rank…

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Q: GENERAL MATHEMATICS Identify the domain and range of the following logarithmic functions. y=log…

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Q: Find a formula for the function graphed -2 12 Use u for the Heaviside function

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Q: x + 2y + z – t= 5 -x + y+ 2z + 2t = 8 2 4x + 4y + 3z+ 4t = 22 2 1 x + 5 52+t= 3

A: Since you have posted multiple questions, we will solve the first questiin for you. If you want any…

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Q: f (x) = e2* if x> 0 The Fourier transform of the function: 0if x<0

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Q: a subspace of V? Assume that V has the standard operations. W is the set of all functions that are…

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Q: Compute the norms for (a)||f(1)||, (b) ||F(x)|l2 (c)||f(x)||, where f(r) = -VI-r, defined on [0, 1).

A: Given- fx =-1-x defined on [0, 1] (a) we have to calculate fx  fx=∫01fxdx        =∫01-1-xdx…

Q: Given we Kow Polo) = 1 ParE) = e df Pice) = cde'e-dt %3D what is the differential eguation to e…

A: We are given the following.               P0(0)=1P0(t)=e-λtP1(t)=λt1e-λt That is,…

Q: rotating the region R about the y-axis, not the x-axis. i got 62*pi/5

A: The given answer is correct, i.e.,   V=1277π cubic units

Q: Refer to the figure below. Make use of Euclid's axioms and postulates. Line AB crosses lines CD and…

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Q: for 0<t <2 Q8. Find the Laplace transform of the periodic function f(t)= 1 for 2<t <4|

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Q: Suppose z = (0, 4), then arg(z) = {+ 2nn,n E R %3D

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Q: a) Write down the algorithm of Newton-Raphson Method.

A: As per bartleby guidelines we are supported to answer only one question when two or more questions…

Q: Find the equation of the axis of symmetry of the parabola given by y= x^2 - 4 - 45 Explaining your…

A: For a quadratic equation with standard form as y=ax2+bx+c, the axis of symmetry is x=-b2a.

Q: Using Jacobi Method, obtain the solution to the system; x1 + 5x2 + 3x3 : = 30 3x1 + 7x2 + 13x3 = 80…

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Q: 1) f (x) = 10.09x2 + x4 + 17.64

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Q: Evaluate the triple integral In(1+ Vr2 + y2 + 2²)dzdydx.

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Q: 2) f(x) = x3 + 9

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Q: Find the domain of f and the intercepts of the graph of f.

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Q: Use two iterations of N-R method to solve

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Q: Prove lim(Vn+1- n)=c 8. 0 =

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Q: Find the indicated powers of the given complex number. Express the result in polar form, then…

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: -4 Find the general solution to the second order system x' " х+ -5 cos(2t). 2

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Q: What is the solution of the differential equation y" - 8y + 25y = 36e“ ? %3D O y = C1e-4 cos3x +…

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Q: Explain why S is not a basis for R². S= {(-4, 3), (0, 0)} O is linearly dependent. s does not span…

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Q: Obtain the general solution of each of the following equations in terms of Bessel functions: а.) ху"…

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Q: Prove: Use the De Moivre's Formula to Prove that for any n greater than or equal to 1 (1+i tan e)"…

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Q: Find the amount of salt in each tank according to the following diagram. The initial volumes are 3…

A: Given: Initial volume in both tanks vx=vy= 3gallons. x(0)=1 y(0)=0 vx- volume in first tank…

Q: 0- Draw a sketch of the Plane of 4x-tyt22-9=0

A: Solution

Q: for 0 <x < 4, 4 - x Let f(x) = {0 for 4 < x < 5. Compute the Fourier cosine coefficients for f(x).…

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Q: Consider the points A(1, –1,4), B(2, –3, 2), C(-1, –2, 2), and D(4,3, –6). (a) Find the volume of…

A: Given the vertices A(1, -1, 4), B(2, -3, 2), C(-1, -2, 2) and D(4, 3, -6) of the parallelepiped…

Q: (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of n=0

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Q: Find the solution of h (x) = e sin r = 2 using False Position method between 3.0 and 3.1 (use these…

A: To find the solution by using False position method between 3.0 and 3.1

Q: Determine the dot product a) Ā = and B = b) Á = and B c) Á = 5, ||B = 32 and the angle between the…

A: (a) Given that A→=&lt;9,4,-5&gt; and B→=&lt;3,-2,7&gt;

Q: A component has the following linear hazard rate, where t is in years a(t) = 0.4t, t2 0 a) Find R(t)…

A: Given: λ(t)=0.4 tt is in years

Q: please answer the following asap Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1,…

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Q: Find a basis for and the dimension of the solution space of the homogeneous system of linear…

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Q: (-1)"x²n (2n)! 1. For all x € R, cos ax = n=0 (a) Find a power series that is equal to x cos(x²) for…

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Q: Arg (zz) = 0, whenever :+ 0

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Q: (b) For the following Homogencous Lincar System of DE, what are the eigen values, corresponding…

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