2.1.3. If a, b are integers such that a = b (mod p) for every positive prime p, prove that a = b.

Q: Example 3. Define linear Volterra integral equations of the first and second kinds. Show that the…

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Q: 1. Dahlia invested $300 at the end of each month into a fund that pays 3.6 % per year, compounded-…

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Q: Determine the present value P you must invest to have the future value A at simple interest rate r…

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Q: Si6-X2 dy dx q +x?+y

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Q: Let X be a group and we then let x and y be an element of X.  Prove that (x*y)^ -1 = a^-1 * b^-1 iff…

A: Since there are some mistakes in given typed question.question may like "Let X be a group and let…

Q: Find the Laplace Transform of the following functions s? - o? 1) f(t) =t cos(@t) Ans. F(s)= (s² +…

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Q: Solve the heat problem Ut = Uzz, 0 < I < 7, uz(0, t) = 0, Uz(7, t) = 0 u(x, 0) = 1 – cos(x) u(x, t)…

A: The given problem is to solve the given heat equation partial differential equation with given…

Q: 0, 2) → R defined by: -1 0<x <1 1<r< 2 Sketch the Half-Range cosine series forf | = { Calculate the…

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Q: A. Find the measure of the angle marked x in th 1. 85 4. 120 2. 5. 80 /105 3. 128 83°

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Solve number 2, please. SOLVE the following DIFFERENTIAL EQUATIONS using the appropriate method.…

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Q: Find the cosine transform fe(w) of f(x) for f (x) = -6 if 0 2. f.(w) %3D

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Q: Q2) Let f(x)= 2x +2x- 5 = 0 a) Find the location of the roots. b) Find an approximation for the…

A: The bisection method is based on the theorem  If a function f is continuous in the interval [a, b]…

Q: The circuit diagram below shows a low pass RC filter circuit, the function of which is to produce a…

A: The complete solutions are given below

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Q: MO21. A particular brand of diet margarine was analyzed to determine the level of polyunsaturated…

A: Given, Sample of six packages - 12.8, 14.3, 11.1, 16, 13.5, 12 To find: 99% confidence interval on…

Q: dx 2 9 cos? x- sin? x ,2 COS

A: Some of the properties of trigonometric  tanx=sinxcosx1+tan2x=sec2x∫1xdx=lnx+C

Q: dy + sin 2x + sin 2y + 2 sin 2x sin 2y dx solve by Separable method

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Q: Sx²V4 – x° dx

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Q: spoliarium

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Q: Write the expression below in the form (a+ b) 1296x2 - 4320x°y + 5400xy 3000x'y + 625y

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Q: Write the expression below in the form (a+ b)" 1296x" – 4320x°y + 5400xy- 3000x y + 625y

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Q: sequence of non-ne a point xo. Then for every k e N Lim %D n-00

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Q: (1) Let K be a finite extension of Q. Show that K contains only finitely many roots of unity.

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Q: 1. A college freshman must take a science course, a humanities course, and a mathematics course. If…

A: Given : Number of science course= 4 Number of humanities courses =3 Number of Mathematics course=2

Q: rying %3D 2. Use the Binomial Theorem to expand the expression (3x + 2y) Show your work

A: The solution is given as

Q: 2. The Fourier series for the function given by: f(z) = { %3D 2 sin(nx) (2n T(2n - 1)2 n=1 (a)…

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Q: Determine whether S is a basis for P3. S= {5 – 3t2 + t3, -4 + O is a basis of P3. t2, 3t + t?, 5t}…

A: Given S = 5 - 3t2 + t3, -4 + t2, 3t + t3, 5t

Q: 3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2…

A: According to the fundamental counting principle, the number of ways that multiple events can occur…

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

A: To use the compound Interest formula to compute the total amount accumulates and the Interest…

Q: 1. Using Gauss Jacobi method, Find the initial guesses that will converge the equation. Solve the…

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Q: G2. Draw a graph with the set of vertices V = {a, b, c, d) and the set of edges E = {{b, c}, {c, d},…

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Q: m/B=

A: Using the angle sum property of triangle  ∠A+∠B+∠C=180° substitute the values…

Q: G11. Can there be a graph with 8 vertices and 29 edges? Justify your answer.

A: Solution :-

Q: Theorem 6.7 (Fatou's Lemma.) Let {fn} be a sequence of non- negative, measurable functions on a set…

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Q: The radius of convergence for the series En=1 n2(x+2)" is 2n 2 1 O

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Q: If x = 4, y = 6 and z = 2, then (2y-x ==z)&&(y==x+z) is .. A True B False fx= 4, y = 6 and z= 2,…

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Q: Evaluate L{t cosh 4t. 1 1 + (s – 1)’' (s+1)* А. В. (s-1)* (s+1)* 1 1 С. (s –4)° (s+4)' 3. D. (s-4)*…

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Q: (a) Plot the point with cylindrical coordinates (2, 27/3, 1) and find its rectangular coordinates.

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Q: Homework: Q)*Solve the following set of equations using: a) Direct method (Gauss elimination method)…

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Q: Use the present value formula to determine the amount to be invested now, or the present value…

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Q: 2. Find the centroid of the area bounded by y = 4x – x² and the x axis. a. Sketch the area and find…

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Q: O A. 2.01% B. - 5.94% O C. 4.06% O D. 14.06%

A: Given: Rate of interest=4% compounded quaterly.

Q: Find the Laplace transform of 1. f(t) = sin(4t +) %3D

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Q: What is the volume of this rectangular pyramid? 5ft 3 ft 4 ft cubic feet

A: We have to find the volume of the pyramid.

Q: . An investment account is worth $1000 on January 1, 2020. X months before the end of 2020, the…

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Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

Q: 2. What is 2,918 ÷ 3 ? 969 R1 972 R2 976 972 R1 3. What is 4824 ? ABCD

A: In this question ,  we have to evaluate,  (2)  2918÷3  and  (3) 824÷4

Q: Determine the effective annual yield for $1 invested for 1 year at 4.1% compounded semiannually. The…

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Q: (a) Let (F(n))n>0 be a sequence of real numbers and let k e N. Explain what it means for (F(n))n>o…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

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