Show that Let ECR" is measurable set. If µ(E) >0, then E have a non-measurable subset

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Q: Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid 2 = x² +…

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Q: 14. If R is a ring, then show that R/(OR) = R

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A: A function f : X to Y between two two topological spaces  is said to be a homeomorphism if it has…

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Q: Using the Bisection Method, False Position Method, and Secant Method, what is the root? Use error =…

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Q: Find the maximum error incurred by using the first three terms to approximate the sum of the series:…

A: Please see the attachment

Q: 7. Suppose that f=u+ie is analytic and not identically constant. a) Show that ue is the real part of…

A: Given :  f = u + i v  is analytic and not identically constant. To show :  (a) uv  is the real part…

Q: 3 Let n + 2 2-5 3 f 1.789 1.691 1.505 1-416 1-341 find £ (1-5) + £' (1-2) 6 1 (1-5) 6 € (1-2) by…

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Q: Using legendre Polynomials, Find a quadratic last squares approximation to f(x) = cosh (X)

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Q: y = = [ot (x): [=-x≤x≤r]

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Q: Question 1 Evaluate the following integrals using residue theorem: (a) x² To (b) 2x³ sin wr Lo (1…

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Q: If the volume of the region bounded above by z = a²-x² - y2, below by the xy-plane, and lying…

A: Please see the attachment

Q: Consider the family of curves y I 1+ GI

A: We have y=x1+c1x Differentiate with respect to x: dydx=ddxx1+c1x⇒dydx=1+c1xdxdx-xd1+c1xdx1+c1x2…

Q: Obtain the output for t = 1.22, for the differential equation 2y"(t) + 27y(t) = et + et :y(0) = 0.…

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Q: 1 f(t) 1 t

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Q: (b) Using Sutherland Hodgeman polygon clipping algorithm, clip the triangle ABC with the vertices as…

A: We will use the basic knowledge of co-ordinate geometry to answer this question.

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? X 1.2 1.7 1.5 0.4055…

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Q: Q23. Find the maximal ideals of Z6.

A: We have to find the maximal ideals of  ℤ6.

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Q: Choose all the answers below that are impossible. There may be zero, one, or more impossible…

A: Please see the attachment

Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 an empty set.

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Q: Write an equation for the proportional relationship shown in the table. x 0.5 1 1.5 2 y 68 136 204…

A: Given table is x 0.5 1 1.5 2 y 68 136 204 274

Q: Find the value of∞ If the approximation of the integral f f(x) dx by trapezoidal method is given by,…

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Q: if G-H-F such that and H-F <R-k So...... R-k =G-H

A: Draw a diagram representing this scenario. Use the diagram to deduce a conclusion.

Q: Exercises 3.13 Function f(x)=3x²+6x-5 is given. 1. Calculate the value of df/dx at x=1 using the…

A: Solution :-

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Q: Find a Möbius transformation which maps the region outside the unit circle onto the left- half…

A: We have to find a Mo¨bius transformation which maps the region outside the unit circle onto the…

Q: Write an equation for the proportional relationship shown in the table. x 0.5 1 1.5 2 y 68 136 204…

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Q: etch the graph of y = x² + √x + 1 and determine its concavity, extrema, and points of inflection.

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Q: Find f(5) using backward difference method of the function f(x) = 7x³-5x + 1 2x¹ + x² +1 with a…

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Q: 5- X dy + y dx = x cosx dx

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

Q: 10 5-2 sin 8 a. find the eccentricity and identify the type of conic; b. write an equation of the…

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Q: let FC k be a Galois extension with Gal

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Q: 1- 64 = -2x tan y, y(0) = π/2.

A: According to guidelines here solution of only firt question

Q: 4 2X 2X dy + 2 (Ye - x) dx = o (y dy + + Cosxy e Sinx du tanx

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Q: 10. The part of the paraboloid x = y² + z² that lies inside the cylinder y² + z² = 9

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Q: 16. Let f: R S be a ring homomorphism with J an ideal of S. Define I= {r ER| f(r) € J} and prove…

A: Given :  f : R →S be a ring homomorphism with J an ideal of S. To prove :  I = r∈R : f(r)∈J  is an…

Q: . Determine the Fourier transform of the given function: t, f(t) = {2t - } 0 < t < 1 0<t<2 - 1, 0,…

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Q: 1. The curve shown below can be expressed both as a function of x, y = f(x), and as a function of y,…

A: As per our policy, we are allowed to attempt only first question remaining post separately.Q(1).Let…

Q: X dy + y dx = x cosx dx

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Q: Evaluate the following integral by first converting to polar coordinates. LL cos (x² + y²) dy dx

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Q: Find the Laplace Transform F(s) of: f(t)=te-ktsin(t)

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