If R is the region enclosed by x- axis, y = -3x and x = -2, then evaluate the following double integral: 8y dA.

Q: Problem 3. (a) Find the general solution for the system of ODE (4 -3) x' = 8 -6) X. Describe the…

A: Please post the multiple parts separately. Here I answered 1st part only as per our policy.

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A: We know, Annual depreciation amount using straight line depreciation = (Cost- salvage value)/ useful…

Q: Number of voters 9. 11 9 5 22 CBD B CA CDAC D A D B 1st choice D A 2nd choice B 3rd choice 4th…

A: Given Number of voters            9            11            9            5            22 1st…

Q: 8 Use series to approximate the value of the integral with an error of magnitude less than 10 0.14…

A: The given integration is a improper integration so we find the value of the integration by using…

Q: Question 10. Solve the following initial-boundary value problem modelling the vibration of a string…

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Q: Find a particular solution y, of the following equation using the Method of Undetermined…

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Q: For the system fi(x) = 10 x1 sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 xị cos x2 +1 = 0 a. Using the…

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Q: How many distinct permutations can be formed using the letters of the word "ROBBERIES"? There are…

A: We want to find total number of permutations of given word.

Q: 13. Solve for A and B. - 7x +8 А A B - + 3x +x-2 3x-2

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Q: Estimate the error in using the partial sum of 65 terms of the series k9 k=1 Error <

A: Given series is  ∑k=1∞2k9

Q: Write the dual to the following problem. Maximize z = 2x1+ x2 + 3x3+ x4 subject to X1+ x2 + X3 + X4…

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Q: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

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Q: ) Consider the Cardioid r = 2 - 2 sin 0. (a) Find its total arc length. (b) Determine the area of…

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Q: Find all irreducible factors of the polynomial x° – 1 over the field of rationals Q. Show that each…

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Q: Table 1 shows the stress-strain data for a new polymeric material rod subjected to an axial load.…

A: Given,Stress-Strain data for a polymeric material in tabular form. To find: a) Best-fit equation for…

Q: Let P, is the vector space of polynomials of the degrees2.Use coordinate vectors to that the…

A: The main objective is to check {p1,p2,p3} linear independent and basis of P2.

Q: Let B be the basis of IR? consisting of the vectors and let C be the basis consisting of {HE) Find a…

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A: Given: A region bounded by y=x3,  y=8 and x=0. To find the volume of the solid using the cylindrical…

Q: Let M = Find formulas for the entries of M", where n is a positive integer. M":

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Q: Ms. Rosalyn Del Rosario, a part-time lecturer at a university, gets paid on a per-hour basis. Her…

A: Given: Rate per hour = P350.00 Work per day = 6 hours. Number of working days in a week = 6 days.

Q: In July 2012, Alvarado Niles bought a house for $187,000. In September 2013, a nearby house with the…

A: in july 2012, Price is $187000 in sep 2012, Price is $206000

Q: 13. Let g(x) = S f) dt where the graph of f is shown. Estimate g(28). Use the midpoint rule to get…

A: We have to find most precise estimate of g(28) using Midpoint Rule.

Q: Find the following sums: (i) E k=3

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

Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

A: We have to find the unit vector having the same direction as B-2A+12C Then, we can proceed further.

Q: Draw two non-isomorphic graphs with degree sequence 3,3,2,1,1,1,1. Explain why your two graphs are…

A: Solution:   Consider the graphs:

Q: Find the inverse Laplace transform following: 0.2s+1.8 1. s+3.24

A: The problem looks difficult with decimal point but it isn't. Note that 3.24 = (1.8)^2 and so the…

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Q: The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your…

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Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) = (2/2, 2/2). Provide your…

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Q: How many integers must you pick in order to be sure that at last two of them have the same remainder…

A: To Find: Number of integers that must be picked in order to be sure that at least two of them have…

Q: xy dx + x2y3 dy, Cis counterclockwise around the triangle with vertices (0, 0), (1, 0), Jc and (1,…

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Q: 3. Answer the following. P({c, d}) = a. b. Р({а, b, {а, ь}}) P(P({Ø})) = с.

A: We want to find power set of given sets.

Q: Let E1,.., En be independent events. Prove that P(E1 U..U En) = 1 – 1[[1 – P(E:)]. i=1

A: Definitions used: 1. Complementation: P(AC)=1-P(A) 2. P(A∪B)C=P(AC∩BC) 3. If A and B are independent…

Q: Q2, Maximize the profit P which depends on x-size, y=quality and z= weight of the product Maximize,…

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Q: 2. Use zero- through third-order Taylor series expansions to predict f (3) for f(x) = 25 x3 - 6x2 +…

A: f(x) = 25 x^3 - 6 x^2 + 7 x - 88 f`(x) = 75 x^2 -12 x + 7 f``(x) = 150 x - 12 f````(x) = 150

Q: Problem 3. (a) Find the general solution for the system of ODE (4 -3) x' = 8 -6 X. Describe the…

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Q: 2x4 + 3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)? B(2x - 4) + C…

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Q: Find a particular solution y, of the following equation. Primes denote the derivatives with respect…

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Q: use laplace truns form to Solve Y't Y = f(t), y (0) = 0, where

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Q: Consider the given matrix. 6. -1 -6 11 1 Find the eigenvalues. (Enter your answers as a…

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Q: ,162,20 If log A log(x) + Blog(y) + C log(z) then 27 A = А В - C =

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Q: Evaluate the following integral (use six decimals for the calculation): (6+3 cos x) dx a)…

A: Solution

Q: Solve the following initial value problem. у) + у'3D 9х +5е "X; у(0) %3D1, у' (0) %3 0, у'"(0) %3 1…

A: We have to find the desire solution of given differential equations.

Q: 36. y' = y/2 %3D

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Q: x(z – 2y)100 = yz + x; Yr and x,.

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Q: given system of equations by on or Gauss-J on. (If the system is inconsistent, enter INCONSISTENT.…

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Q: If the sequence (s_n) converges, then so does every subsequence of (s_n). True False

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Q: 2. Use zero- through third-order Taylor series expansions to predict f (3) for f(x) = 25 x3 – 6x² +…

A: Solution

Q: Consider the given system of linear equations as shown: 5x - 2y + z = 8 -X + 6y + 3z = -3 x -3y + 5z…

A: We will use the Guass-siedal Iteration Method to solve the given system of equations for which we…

Q: onsider the following apportionment problem. North: 1,930,000 Northeast: 2,950,000…

A: Given the following apportionment problem. North:      1,930,000 Northeast:   2,950,000…