Prove or disprove: There exists an integer a such that 14 | (3a — 5) and 21 | (2a + 3).

Q: To find the 8-year equivalent uniform series, we need to find the present value of the…

A: To find the 8-year equivalent uniform series, we need to find the present value of the…

Q: 3. Let f(x) = x² - 6. With po = Use the Secant method. a. b. C. 3 and pi Use the method of False…

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Q: Use algebraic manipulation to show that each of the following functions has a fixed point at p…

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Q: Determine an equation for the pictured graph. Write your answer in factored form and assume the…

A: When the curve is symmetry about a point in a fix region and one side of point is goes to plus…

Q: True or false and why? Explain. If the tangent plane to z = f(x,y) at (0,0,f(0,0)) is 4 + 3x + 2y +…

A: Given statement isIf the tangent plane to z = f(x,y) at (0,0 ,f( 0,0)) is 4 + 3x + 2y + z = 0, then…

Q: why the graph crosses (3,2)

A: This part is done correctly

Q: 1. Let V be the vector space over R, consisting of all complex polynomials of degree at most 2; i.e.…

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Q: How are derivatives and second derivatives used to solve an optimization problem?

A: We need to figure out that how derivatives and second derivatives used to solve an optimization…

Q: B.C. IC Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat…

A: Given equation:∂u∂t=4∂2u∂x2,    0≤x≤2, t≥0Given BC: u(0,t)=u(2,t)=2Given IC: u(x,0)=1Let…

Q: explain how to reason about quantities to solve the following problems by using a double number…

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Q: Suppose that f : D → R and that c is an accumulation point of D. Prove that if limx→c f(x) = L, then…

A: Suppose that   and   is  an  accumulation point  of Let Then, for any there exist  a   such that…

Q: Solve the linear programming problem by the simplex y2 - 2x +41 method. Minimize 11x + 4y subject to…

A: Given Information:Objective function: Constraints:To solve:The LPP by Simplex Method.Inequality…

Q: Write a combinatorial proof that, for n ≥ 4, S(n, n − 2) = (3) + ½ (²1) ("z²).

A: We need to prove that, for , .We know that  represents the partition of a natural number  into…

Q: Solve each of the following simultaneous systems of congruences (or explain why no solution exists).…

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 2dx So (4+X)√X…

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Q: Use spherical coordinates to evaluate the triple integral x² + y² + z² ≤ 64. 11. 2² + y² + 2² dV,…

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Q: Let x be an accumulation point of {an|n ∈ N}. Prove that there exists a subsequence of {an} ∞ n=1…

A: We need to show that there is a subsequence which converges to x

Q: 3. Use the Alternating Series Theorem to determine the number of terms needed in the Taylor…

A: According to the given data, find the number of terms need in the Taylor expansion of ln(1+x):

Q: Use 12 table - one to calculate the future value in dollars of the annuity due round your answer to…

A: Annuity formula

Q: Consider the surface, S, given by the portion of the parabaloid = 14-7x²-5y² above the xy-plane…

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Q: Prove that if a and b are integers and a² +6² is even, then a+b is even. [Big Hint: try a…

A: We need to prove following statement.(1)If a and b are integers and a2+b2 is even, then a+b is…

Q: Let q(n) be the sum of the squares of the first n odd numbers. For example: q(0)  =  0 q(1)  =…

A: If n is any odd integer greater than 0 (i.,e., odd positive integer) then it's general form is 2n-1…

Q: In each of Problems 1 through 26: (a) Find the general solution in terms of real functions. (b) From…

A: Given Information:The differential equation is .Objective:a) Find the general solution.b) Analyze…

Q: The integral in this exercise converges. Evaluate the integral without using a table. -7 100 96 2 X…

A: We have to evaluate the given integration.

Q: Write the linear programming problem as a maximization problem with all inequalities (except x 20, y…

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Q: Solve the linear system [x, y, z] = [0, -2, [x, y, z] = 4 - − 12] + s[1, - 1, 2] [38, 0, −46] + t[3,…

A: Given linear system:We have to solve the given linear system.

Q: (13) Label each of the following statements as true or false. Prove your answers. (a) For all real…

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Q: The second order initial value problem below has a power series solution in x. Calculate the first…

A: (.) Given initial value problem is,(.) Power series solution of a differential equation  about an…

Q: what wiill the graphical analysis look like

A: Draw the graph.

Q: Find a unitary matrix P that diagonalizes the Hermitian matrix A, and determine P-¹AP. P-(-+-+-+) =…

A: The matrix is .To Find:a) Unitary matrix P.b)

Q: I the power X In - [² th tl at] 0 series of the function F(x) = S -dt dy about co t-1 = 1

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Q: Problem #10: Find the flux of F(x, y, z) = yi − xj + 8k across S, where helicoid S is the with…

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Q: In AABC, vertex A is (1, 2). If the internal angle bisector ZB is 2x -y + 10 = 0 and the…

A: In triangle ABC , vertex A is (1,2). If the internal angle bisector of angle B  is2x - y + 10= 0…

Q: Can this be done by a human? Also, can you please circle answers and clearly differ the parts of the…

A: Yes this can be done by a human by hand written.

Q: 34. u is parallel to v = [:] -.. 2 0 and u= AB where A = (1, 1, 1) and B is in the xz-plane. [4]

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Q: an economist for a sporting goods company estimates the revenue and cost functions for the…

A: The given revenue function  and the cost function .The aim is to find the average profit function…

Q: Consider the function f(x,y) = x^2 + y^2 subject to the constraint g(x, y) = x + y - 3 = 0. Use the…

A: Optimization with constraints often involves using the Lagrange Multiplier method.Suppose we have a…

Q: (4) Directly from the definition of continuity, show that f: Ro→ R defined by f(x) = 1/2 is…

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Q: Prove that the dual of l' is isometric to 10⁰.

A: Accounting to the given data, prove the given statement:

Q: A manufacturer of computers must fill orders from two dealers. The computers are stored in two…

A: The number of computers stocked in City A = 50 The number of computers stocked in City B = 90 The…

Q: A hyperbolic PDE in (x, y) can be written in canonical form, Pen = f(n. 0.03, Pn) by using the…

A: Solution:

Q: A normal distributed population has parameters μ = 164.6 and o= 75.4. If a random sample of size n =…

A: Given that:A normal distributed population has parameters  and .sample size .To find: a) Mean of the…

Q: If the point (a, a) is placed in between the lines |x + y = 4, then find the values of a.

A: Given that if the point (a,a) is placed in between the line |x+y|=4 , then we have to find the value…

Q: 1 121 In Exercises 18-21, interpret the subset W of R³ geo- metrically by sketching a graph for W 2…

A: The given subset W of R3 is written as follows..We need to interpret the subset .

Q: Let A be a 4 by 9, B be a 9 by 8 and C be a 8 by 4 matrix. Determine the size of the following…

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Q: the answer is incorrect

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Q: Write the limit as a definite integral on the given interval, where c; is any point in the ith…

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Q: Let σ be a finite signature and A be a finite σ-structure. Show that there is a σ-sentence φ that…

A: To show that there exists a σ-sentence φ that uniquely determines a finite σ-structure A up to…

Q: As part of a weight reduction program, a man designs a monthly exercise program consisting of…

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Q: - 5. f1(x) = 1, ƒ2(x) = x, ƒ3(x) = (3x² − 1). [Note: These are the Legendre polynomials that arise…

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