Show that {zn}nEN is Cauchy, where z, = sint dt. 1+t

Q: In C(11,r)=165, what is the value of r? 9 only 8 only 2 and 9 3 and 8

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Q: QUESTION 5 a) Find the order of each element in Da/. b)Is this group isomorphic to Z, for some n?…

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Q: Exercise 94. Evaluate ſcF dr where F(x,y)= xi- yj and C is the line r(t) = (1 -1, t), 0<I<1. If a…

A: Vector field and conservative vector field

Q: H.W Solve the Following linear systems using Causs Flimination 2y +4Z=6 2) 4X +y-37 =1 3X-84 +2Z = 2…

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Q: 5. Prove that the property of a space having an isolated point is a topological property. 6. For any…

A: Sol

Q: #19.A isa coilechan of FNe vectors n vectors in Stakement is always tre? A) spanA = R" B) span'A ±…

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Q: A = {1, 2, 3} B = {a, b, c} What is n(A X B)?

A: It is given that A=1, 2, 3 and B=a, b, c. The number of elements in each set is 3. Therefore, nA=3…

Q: (-1)" Fact: the series S: converges by virtue of the Alternating Series Test. n n=1 According to the…

A: Error estimation theorem is used

Q: Obtain the Taylor series for the given function about the point x = 2. You can write the first 5…

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Q: direct proof: prove the following  Claim: The sum of two even integers equals an even integer…

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Q: Verify Green's Theorem by evaluating both integrals |y? dx + x2 dy dA ax ду for the given path. C:…

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Q: Anne and her siblings are planning to throw surprise party for their parents' 50th wedding…

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Q: QUESTION 7 Find all the distinct cosets of H = ((3,5)) in U(10)xU(12).

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Q: Let feC-2,2], fo-o. Prove that Max -2

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Q: Prove by conventional integration that the Laplace transform of the given function is equal to the…

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Q: Three investors are dividing a piece of land worth $300,000. Each investor's value in thousands for…

A: Sol

Q: 1 Q5. Fact: the series S = > converges by virtue of the Integral Test. m(ln m)4 m=3 According to the…

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Q: Find an estimate of the root of the equation: xX - 6x = 0 located in the interval (2,3) using…

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Q: Ba, "Vx(Fxa →3yBy) v VxFbx /:: Ba & Fba Prove this statement

A: Sol

Q: Number

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

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Show that n log n is Θ(log n!)

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Q: 24 Let B be a Sx5 matrix and Ca(): A-1)(X--いメ) Let W represent the solution set to the System. Yu Xu…

A: Given that B is a 5×5 matrix and CAλ=λ-1λ2-λ-6λ2+1 Also given that W is a set of solution to the…

Q: Determine two linearly independent power series solutions centered at x = 0. y" +2x²y'+2xy = 0

A: We determine two linearly independent power series solutions of the given differential equation…

Q: QUESTION 6 Find the order of ((2 3 4), 15) in A4 ×Z18- For the

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Q: 5. Reason abstractly. How many different angles does the figure include? Name them.

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Q: Let a (> 1) be an irrational number. Show that the kth convergent of the simple continued fraction…

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Q: Find the 3rd degree interpolating polynomial by Newton's backward formula X f(X) Af(X;) A²f(X;)…

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Q: Let f(x) = 1-1 if 0 < x < 1 if 1<a < 3 %3D for 0<x < 3. At x = 4, the Fourier cosine series for f…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: To find- Find the volume V of the solid obtained by rotating the region bounded by the given curves…

Q: Find a vector ī that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4, –2),…

A: We find a vector v that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4,…

Q: x³ – 2x² – 5 = 0, [1,4]

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Q: Find the angle a between the vectors 5 2 and 2 -1 a =

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Q: (x – 2)² – In x = 0, [1,2]

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Q: Adjacency Matrices Find the adjacency matrix for G. V1 V2 es ei e2 e6 V3 V4 e4 ез V5 G

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Q: Find Vector tangent and normal to at Doint Cl,)

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Q: If two dice are rolled, find the probability ofshowing a sum of 7 or 11 ? O 1/18 O 7/36 1/4 O 2/9

A: We have to find the probability of showing the sum 7 or 11

Q: 2. A 50-g mass is suspended by a spring attached to the ceiling, such that when it is at rest, it is…

A: To sketch and find the equation of motion of the mass.

Q: 3. 2х, — х, = 2 X - 3x, + xz = -2 3x3 —х, + х, — 3х, — —6 -X, + x2

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Q: 2 sin(e*) S(x) = 1. Given f(x) above, find f'(x). 2. Between the interval [1.2] find the two roots…

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Q: Draw a tree on 6 vertices where all but one vertex has degree 1.

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Q: A Ferris wheel has a radius of 35 feet. The bottom of the Ferris wheel sits 0.7 feet above the…

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Q: Suppose that f is a continuous function such that | f(z) dz = -12. Find 1*f (2") dr.

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Q: A Math class consists of 14 girls and 15 boys. The teacher randomly selects 6 students to show their…

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Q: Solve the following equation in the complex number system. Express solutions in both polar and…

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Q: The probability that​ brown-eyed parents, both with the recessive gene for​ blue, will have a child…

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Q: Point C(9, -6) is dilated using a scale factor of 2/3. What are the coordinates of C"? (O,) 4 Point…

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Q: Lot K h0 splitting field of f over F Determine which finite feld F muet contain se

A: Sol

Q: The probability that a marriage will end in divorce within 10 years is 0.25. What are the mean and…

A: Solution :  Given that  The probability that a marriage will end in divorce within 10 years is 0.25.…

Q: -1 t'a o - teaz -te?? Calculote the compomonts of the "chistoffel ノ Symbol.

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