Prove that S, pm (x)Pn(x)dx = 0 if m# n ? %3D

Q: Question 4 Given that EF is the midsegment of trapezoid АВCD, what is AB? 92 cm D 12.6 cm

A: Given that EF is the mid segment of the trapezoid ABCD. We have to find the value of AB.

Q: Express 7 (cos 300° – i sin 30°) in polar form.

A: convert in polar form

Q: 8. If W = and V =, compute W x V.

A: To compute w*V from the given vectors.

Q: 1 1 1 -1 2 1. A = 1 -1 2. 1 3. 3 2 -10 0 -10 -5 0 10 0. 0. 2. B = -2 6. 4 -5 -4 -2 From the given of…

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Q: 8. Let f: R-→R be a field homomorphism. Show that f is identity.

A: Introduction: Like integral domain, a field also have homomorphism. A map f:F→K is referred to as…

Q: Let R be a commutative ring with 1 ≠ 0. Prove that R is a field if and only if 0 is a maximal ideal.

A: We are given that R be a commutative ring with unity. We have to show that  R is a field if and only…

Q: A particle travels along the x-axis such that its velocity is given by v(t) = ť2.³ sin (t – 1) .…

A: velocity of a particle along the x-axis is given by vt=t2.3 sint-1 claim- find all the times when…

Q: Find the following 2nd order interpolation polynomials for the given points (0, 1), (2, 5) and (4,…

A: Introduction: In numerical analysis, interpolation is very significant. It describes the function…

Q: Compute the line integral of the vector field F(r, y, z) = (x + 2y + 3z) i+ (2x + 5y)j+(z – 3y)k…

A: As per policy, we will solve the Question 4 only please repost it to get solution of Question 5. In…

Q: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order…

Q: After 5 iterations of Fixed-Point Iteration Method, solve for one real root of +2z + 10x-20 =0 using…

A: Solution :     The method works as             xn+1 = 20/(xn2 + 2xn + 10)  Initian guess : x0 = 1.…

Q: CustomerT batslgmos dmn svig ai a W Y Z. done 10 2 8 on 6. 4 12 8. 14 10 8 2 D 4 14 10 8. Тaxi

A: Hungarian  Method-2 :-

Q: Problem 7. Let f : N→ N be the function such that f(n) = 1 if n is a perfect cube, and f(n) = 0…

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Q: If A is a square matrix such that A =1, then A'is equal

A: Given, A is a square matrix such that A2=I.

Q: Consider the matrices A = and B = 0.5 -0.5|. -1 0.25 0.25) Is B the inverse of A? OTrue OFalse

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Q: 3. Decrypt the letters XMMIFZXQFLKP if it was encrypted using an alphabetic Caesar shift cipher with…

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Q: Use Green's theorem to find the counter-clockwise circulation for the field V = 2xyi – 3x°yj, where…

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Q: Let F(x) = f(x) + g(x)e* + h(x)e2x+ C be the antiderivative of G(x) = (x + e*)“, Determine the value…

A: The given problem is to determine the value of f(x)+g(x)+h(x) for x=1.69 where F(x) =…

Q: 8. Prove that a matroid is uniform if and only if every circuit meets every cocircuit.

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Q: 6° Szx dx t yay where L cs parabol y=-x(x-) arc

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Q: 1. Solve the following ODE by the method of variation parameters 4y" – y = 1. (Other methods are not…

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Q: i need this in words not handwritten please Rewrite this

A: 2) Advantages of a Vector Space Vector space is set objects which staisfies some properties. Once we…

Q: of all sequences that are "eventually zero," that is, al

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Q: Problem 4. Does there exists a solution xE Z to the equation 3x2 + 11x = -23 mod 61?

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Q: factor

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Q: ERROR CORRECTION TEST ITEM: DIRECTIONS: The entire test has been answered for you. Your job is to…

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Q: Expand loge x in powers of (x- 1) and hence evaluate log, 1-1 correct to 4 decimal places.

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Q: [17] For each of the following equations, • find general solutions; • solve the initial value…

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Q: f(t) = sin? 4t + cos? 4t 4+s А. s2+16 C. - С. s2+32 В. s(s?+16) D. s2 +16

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Q: 9. Find two vectors that are orthogonal to the plane containing the points P = (4,-2,1) and R…

A: Since there is multiple questions, we will solve the first question. Repost the question again and…

Q: what IS the absolute value 7 -2 +i ? a. -J5 C. I b. J5

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Q: Compute the following limits using L'Hospital's rule if appropriate. Use INF to denote oo and MINF…

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Q: Prove that if S is a bounded set then S is bounded.

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Q: Solve the equation xcosy dy+(x+2)siny dx=0.

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Q: Prove that an algebraically closed field is infinite.

A: Let F be an algebraically closed  field.Suppose, if possible, that F is  finite, say, F = { a1 ,a2…

Q: y inding a planar drawing. 2. 4.

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Q: Consider such a definition average distance, which is the average distance over all pairs of nodes…

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Q: Suppose that f: G → G such that f(x) = axa. Then fis a group homomorphism if and only if a = e O a^4…

A: Given that f:G→G be a function such that fx=axa

Q: Find the solution of the following system of Equation using Gauss Jordan Elimination method, 3x, -…

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Q: 12. The graph of f is shown below on the xy-plane. Explain why y = 0.8(x – 1) + 0.4(x – 1)² + 0.1(x…

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Q: PROBLEM 12.1 The potential energy of a simply supported beam of length I sustaining a load at the…

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Q: Use the integration theorem to show that Cos nx 효(72-3a2) =D Σ(-1)”-1! -T <x < T n2 n=1 and sin nx…

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

Q: Define a sequence {E;} where En = r -,r| where n is positive integer. Find P({r}) for any r E [0,1]

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Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

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Q: Problem 13.1. Let X be a topological space; let A be a subset of X. Suppose that for each E A there…

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Q: Q7-8. Is it possible to convert a present value of an ordinary annuity table to the present value of…

A: Given:To convert  a present value of an annuity of an ordinary table to the present value of an…

Q: 5- Graph the following function( Y=-1/4 log ,(3x-6)+1

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Q: 9 Advantages of a Yector Space. Vector Space is set objects which soie Some properties, Once we get…

A: 1) What makes a set of objects a vector space? Let A is set of objects . It must satisfy following…

Q: Problem 6. Find all positive primes p such that n = 1001p satisfies that a" = a mod n for all a.

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Q: f(t) = t² cos 6t 2s(108-s2) 2s(s²-108) А. (s2-36)3 C. (s2-36)3 2s(108-s?) В. (s2+36)3 2s(s?-108) D.…

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