Evaluate the Legendre symbol () (a) using the reciprocity law 1873 8389 only for the Legendre symbol and (b) using the reciprocity law for the Jacobi symbol.

Q: 3 Sn n+1 n+2 Show sequence { Sn} give in converaent. that the general ter Ms is

A: 3 Given that Sn=1n+1+1n+2+........+12n. We have to show that the sequence Sn is convergent. Since, s...

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A: 13. True The dimension of the solution space of AX=0 is the dimension of the null space of A.  

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Q: Q5) Solve the following linear programming by using simplex method: Max Z=4X1+ 5X2 Subject to: X1 + ...

A: We have given LPP Problem ,  max z = 4x1 + 5x2subject to , x1 + x2 ≤ 103x1 + 7x2 ≤ 42x1 , x2 ≥0 The ...

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Q: How many six-digit even numbers greater than 500 000 can be formed using all of the digits 1, 2, 2, ...

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Q: Graph the exponential tunction. g(x) = 4° Plot five points on the graph of the function. Then click ...

A: Let us consider an exponential function y=ax If a>1  If 0<a<1

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Q: 8r' dr by the Ga

A: ∫028x7dx x=b-a2t+b+a2 change interval a,b=0,2into -1,1 using x=b-a2t+b+a2 a=0,b=2 x=t+1 t=x-1      d...

Q: Find the area of the triangle with vertices P(1, 5, –6), Q(0,0, 0) R(3,5, 1). NOTE: Enter the exact ...

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Q: Find the Fourier scries of the function f(x) = |x| for -1 <x<1.

A: We find the Fourier series of the function  f(x)=|x| for -1≤x≤1.  

Q: - Evaluate. tha..lloming.integrals.a.fter.reven.ing.the erder.af.integratium. TT siny dy.dx. Ans.g2....

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Q: Solve the problems below that pertain to constructing a fence. (a) A farmer wishes to enclose 6,724 ...

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A: Given figure is   where  Area A=1.425Area B=2.56Area C=5.843Area D=1.764

Q: Hiw-2 Find Zxx if Z =f(usdu= x? y ,V=2xy Exfress the answer interms of Xy, Zu, Zv

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Q: Suppose heat is lost from the lateral surface of a thin rod of length L into a surrounding medium at...

A: The heat equation given is as follows: k∂2u∂x2-hu=∂u∂t, 0&lt;x&lt;L, t&gt;0............................

Q: Consider the points A(3,-3,3), B(4, –5, 1), C(-2, –4, 1), and D(6,3,-5). (a) Find the volume of the ...

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Q: Computing the greatest common divisor of two nonnegative integers a and b with a < b using recursive...

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Q: 2. Show that e*, sin x, cos x are linearly independent using Wronskian Method.

A: As per the policy of bartleby the provisions is to solve only one question at a time  I am solving s...

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Q: Integrate.the funcham. fx.g). aver.the. 1-xニy Seagimn.(.disk...**.. . Does. theintegral.af. fx.n.y.)...

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Q: 8. v(x,y) = (y – ², y). In each of the following exercises, you are given a vector field v = v(x, y)...

A: Given: A vector field,  v(x, y)=y-x2, y To sketch: 6 vectors in the given vector field.

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Q: Let f (z) = zi + (z – 3) - Part (a) Integrate the function f (z)along the curve C given by z t3 +it?...

A: We will use the basic knowledge of complex analysis and integral calculus to answer this question.

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A: We will use the basic knowledge of complex analysis and line integrals of complex-valued functions t...

Q: Question 1. Let qA(x, y) = 4x² – 12xy + 9y? be the quadratic form of a matrix A E M2,2. Is A positiv...

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Q: Instruction: Answer the following. Show all your solutions. 7. a. Find the volume V(S) of the solid ...

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Q: Find the general solution of the differential equation y(4) + 12y" – 64y = 16(2 +5t)e2t. - %3D Selec...

A: Let us consider the differential equation L[D]y=Q(x) Find the complementary solution, by obtaining ...

Q: dam has created a triangular table, as shown. Because his table will have only eeds to find the bala...

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A: The given temperature field is T(x,y)=64-x2-y3------(1) P(4,2) is the given point Then the gradient ...

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A: Introduction: A straight line is a two-dimensional figure. Two points are necessary in order to draw...

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Q: Given a natural number c ∈ N. On natural numbers, the relation Rc is defined as follows: ∀a, b∈N: (a...

A: This is a problem of relation.

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Q: Tou are dealt a randomly chosen 7 card ham The score S for a hand is 2 times the numb What is the ex...

A: In this question, 7 cards are randomly drawn from a standard playing deck. The Score S for a hand is...

Q: Convert ff Incxay") d.A.aver. the.fegiz.xy<.e. .b.polar.form. and. the.evaluate.it.

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Q: will give upvote Calculus (Convergence and Divergence)  need another expert's answer to compare an...

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Q: H.W: Evaluate the integral: VZ 3y 8-x2-y2 1.fS S dzdxdy 0 0 x2+3y2

A: Since you have posted multiple questions and we can answer one question. So, answered first question...

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A: This is a problem of power series.

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A: Introduction: An independent variable can approach its accumulation point from the right-hand side o...