Suppose that p, q are distinct primes such that q 1 (mod p). Also suppose that -36 is a quadratic residue modulo p. Enter the value of the sum (p/q) + (q/p) or if there is not enough information, enter 999.

Q: Reference book: 【KREYSZIG At AT Introductory Functional Analysis with Applications Complement of a…

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A: Reduced Row Echelon Form: A matrix is said to be in reduced row echelon form if satisfies the…

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A: Let me solve this step by step.a) To express cost function c in terms of price p:* We have n(p) = 50…

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A: ANS: ( a ) ​​Let's represent using heaviside function :​   ANS: ( b ) ​​

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A: Step 1: Step 2: Step 3: Step 4:

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Q: y varies directly as x. If x = -4 then y = 10. Find y when x = 2. Write answer as reduced fraction…

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Q: Question 2 (Eigenvalue method) Question 2. Find the general solution of the homogeneous linear…

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Q: 5. Given a subset {V1, V2, V3} of a vector space V over the field F, where F is a field with 1+1 ±0,…

A: Part 1: If {v₁, v₂, v₃} is linearly independent, then {v₁ + v₂, v₂ + v₃, v₁ + v₃} is linearly…

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A: We are given a regular graph G with the following properties:The graph is regular, meaning all…

Q: Solve Ut - · 8xux + 7u = 0, x 0 u(x, 0) = 9 sin(x) First change to characteristic coordinates (§, s)…

A: Step 1: Analyze the Given Equation and Initial ConditionsThe given equation is:      uz​−82uz​+Tu=0…

Q: https://docs.google.com/document/d/124ESxF79BSU3Dp1YH0Fhfq9Fc5Vmv09ehFMIrlmbl/edit?tab=t.0 Please go…

A: Given data: Python code for the construction:# Real data: Average monthly temperatures (°C) for a…

Q: 7. Is there a continuous function f in R² such that fx = fy=x+y? Why?

A: Step 1: Understanding the ProblemIf  fx = fy = x+y, the condition means that both partial…

Q: 3. Find the set of all points on its domain for which f(x, y) = sin x discontinuous. line. +y, x 0.…

A: To determine the set of all points on the domain for which f(x, y) is discontinuous, we analyze the…

Q: Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 2i and corresponding eigenvector v =…

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Q: Find the determinants of the following matrix:

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Q: ExBo C 10-8 A = 0-1-5J Ό =A Loo Find all egenvalues for A and for each eigenesue 1 find a basis for…

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Q: Find the determinants of the following matrix:

A: Step 1: Identify the formula for the determinant of a 3x3 matrixA = abcdefghi determinant of matrix…

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A: Solution:Step 1: Review of the integral and singularityThe integral isz+11​,which has a singularity…

Q: This picture shows the simplifying steps of how to derive the Laplace variational lteration method…

A: Step 1: The Elzaki Transform of f(t) is:E[f(t)]=1/M0∫∞e-t/mf(t) dt.For derivatives, the properties…

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Q: Use the graph to answer the question that follows. Price ($) P₁ P₂ S=MSC=MPC D=MPB Quantity MSB The…

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Q: A diagonalization of the matrix A is given in the form P-1AP = D. List the eigenvalues of A and…

A: Diagonalization: Suppose A is an n×n matrix that has eigenvalues λ1​,λ2​,...,λn​ with corresponding…

Q: /show that Sin z=0 where k is an integer. iff z= k*

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Q: Given that v1 = [10] [65 -210] and v2 = are eigenvectors of the matrix 3 21 -68 determine the…

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Q: Also, Find the eigenvalues of the​ matrix, set the characteristic polynomial equal to 0 and solve…

A: Matrix Given:[−4  −1   1   −6  ]Step 1: Find the Characteristic PolynomialThe characteristic…

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A: We are given a group G with exactly two elements and are tasked with proving that the set of all…

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Q: 42. Prove or disprove that U(40) Z6 is isomorphic to U(72) ℗ ZĄ. 1

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Q: 1. Consider the family of transformations, H₂, which map (x, y) = R² to (x, ỹ) € R² with t² - 1 12-1…

A: The transformations are defined as x~=2tt2+1​x+2tt2−1​y,y~​=2tt2−1​x+2tt2+1​y.

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Q: Help asnwer these quesiton please(a) What assumptions are implicitly being made about the growth of…

A: (b) Interpretation of Constants a, b, m, and nThe constants can be interpreted as follows:a: The…

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A: Question 3: Solve the given ODEsWe solve each ODE systematically using symmetry or separation of…

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Q: Submission Guidelines Please ensure to review the instructions and materials available at the link…

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Q: Let x' = x, x(t) = [e₁ e + ], x (t) = [sinh(t) cosh(t)] [cosh(t) sinh(t) Recall the definitions of…

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Q: Advanced Statistics problem set: Solve the number 4 from the given set of problems, make sure to…

A: problem 4: If a fair die is rolled, what is the probability of rolling a number greater than 4?

Q: Question 2 For this part of the problem, we will consider how to resupply the three distribution…

A: Detailed explanation:To solve this problem, we will break it into parts to address all aspects,…

Q: Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized…

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Q: 6. Find the general solution to the following differential equation: y" - 2y+y= 2/12 7. Solve the…

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