Consider the function y = (-3x- 5). Using the values x = -8 and A x = -0.5, calculate Ay- dy. Round your answer to three decimal places if necessary.

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A: For the solution of the problem follow the next step.

Q: 7. Prove by induction that E,(-1)² = (-1)"n(n + 1)/2 for all n > 1.

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Q: Consider the IVP: x" + x = 4e' ; x(0) = 1, x'(0) = 3. || %3D Find the general solution. A x(t) = 2e+…

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Q: 8. (Liouville's theorem, Cauchy estimates and the maximum modulus principle) (a) Suppose that f is…

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Q: 1. Get center point of homo geneu us plane limited by 9) y =4- x2 and x axis

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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Q: What is the amplitude of the function? 1 -1 11 12 13 -2 -3 4. 2) +++

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Q: Write out the first four terms of the Maclaurin series of f if f(0) = 5, f'(0) = 2, f"(0) = 6, f"(0)…

A: Maclaurain Series expansion of the function

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Q: 7. Explain the steps required to rewrite the following as (a+b)".…

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Q: (b) Show that the equation e- - 2:2 = 1 has exactly two solutions in the disk |2| < 1, and that they…

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Q: f(x ) = x2 g(x) = [ x/21 Select the correct value for f• g(- 3/2). O a.-1 O b.0 Ос. 1 O d. 3

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Q: Dual problem below: Min Z = 120y, + 6y2 + 105y3 Subject to : 3y1 + 5y2 + 8y3 2 3 10y, + 2y2 + 10y3 2…

A: The dual problem is Min Z=120y1+6y2+105y3 subject to 3y1+5y2+8y3≥310y1+2y2+10y3≥45y1+8y2+3y3≥1y1,…

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Q: following periodic function, find its Fourier sine and cosine series. f(1) = { , 0, =\cost, - n <t<…

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Q: Find the Jacobian of the transformation. y = 4v/w, x = 3u/v, Ә(х, у, 2) Ә(и, v, w) z = 8w/u

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Q: Approximate the area under the curve graphed below from 2 = approximation with 3 subdivisions. 1 to…

A: We can solve this using riemann integral

Q: Find the Jacobian of the transformation. x = 2u + 8v, y = 6u + 5v a(x, y) a(u, v)

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Q: (9) 3 Find the Taylor series centered at a = 6 for the function f(x) = What is its interval of 6+ 2x…

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Q: Determine whether these two graphs are isomorphic. Explain why or why not. a b h d G

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Q: Solve the following heat equation: (u:(x,t) = Uxz(x, t) и(0, t) — 1 — е ! u(1, 0) — еt, и(т,0) — 0

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Q: The figure below shows a directed graph G: 1 3 2 4 Which edge is not in G 3. Оа. (1, 3) O b. (2, 3)…

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Q: determined the area enclared by 4ay x2, and y=x +8a %3D

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Q: 5. (The residue theorem and residue calculus) Compute the following integrals: (a) dz z(z – 2)3 =l=3

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Q: find a real root of the equation x + x + x + 7 = 0 by using Bisection method

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Q: Which of the following statements are true? Give an explanation for each false statement. (1) Ø E Ø…

A: 3 Given statement is 1,3=3,1. We have to check whether the given statement is true r false.…

Q: 1. Use Laplace transforms to solve the following initial value problem: y” + 2y’ + y = 2e-1  , y (0)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: se the given transformation to evaluate the integral. 3xy dA, where R is the region in the first…

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Q: 2. Solve the equation (for z): (2z – 1)° = i . [Hint: First solve the equation w = i.]

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Q: What form should you guess for a particular solution for the following differential equations? A)…

A: Solution. (A) Given the differential equation y" -6y'-7y = x2 +3x Hear the auxiliary equation is m2…

Q: Tell whether if the given sets are Finite, Infinite, Empty, Singleton, Equal, Equivalent, or…

A: We will use basic set theory concepts in this question