Using double integration, find the area for x > 0 that is enclosed by the y-axis, the curve y = 4−x^2 and the line y = 3x. Sketch the area of integration.

Q: (a) Write (152) (341) (6352) ≤ S6 in array form. Fill in the blank row below. 1 2 3 4 5 6 (b)…

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Q: Suppose x,y are real numbers, and 2x+y2 1, then x<1.

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Q: Use row operations to solve the system. x + y- z=3 2xy + z = 3 x 4y+ 3z = 16 Select the correct…

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Q: Can someone please help? Thank you.

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A: Given, The amount of foreign earnings kept overseas can be approximated by the function f(x) =…

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Q: 2 X 1. ₂F₁ (1.2:3:x) = log{e(1-x) = }

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Q: Evaluate ² zds, where S is the part of the plane z = 1+ 4x + 2y above the rectangle [0, 3] × [0, 5].…

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Q: The Fourier transform of ƒ(t) is F(w) = 5e 7jw 2+ was org 8 Using the Convolution Theorem, find f(t)…

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A: Huse the properties of hyperbola to solve.

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A: The given model is  y=-x2+30x-40 where y is the number of responses per millisecond and x is the…

Q: Find the amount of the payment to be made into a sinking fund so that enough will be present to…

A: Future value can be calculated by the formula, FV=P1+im-1i. Here P=Payment size, m=nt where n=number…

Q: Find all natural numbers n such that mod (2", 7) = 4. Use your result to complete the following…

A: (a) We need to find the all natural numbers n such that mod2n,7=4. Observe that 23=8=1mod7. Now…

Q: Vandermonds Theorem: 2 F₁ (-n, b; c; 1) (c-b) (c)₂

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Q: Consider an economy made up of 500 people (i.e., the working-age population). Of which, 400 are…

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Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

A: Note:  “Since you have posted multiple questions, we will provide the solution only to the first…

Q: Gauss Theorem: 2F₁ (a,b; c; 1) = r(e)r(c-b-a) r(c-a)r (c-b)

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Q: -1 3 Show that A= 1 invertible matrix P satisfying A = P-¹ BP. P-¹ = and B P= = G 31 are similar…

A: A=P-1BPA=-131-1B=-1-3-1-1

Q: √√3+ L a. Convert z and w into exponential (re) or polar (r(cose + i sin e) forms. b. Find zw in…

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Q: Evaluate the following integral over the given region D. Give an exact answer. ff ei da dA D D =…

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A: We can check whether the given statement is true or false.

Q: Use variation of parameters to solve the given nonhomogeneous system. 04 x = (-; ² ) x + ( - ) ²² X'…

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Q: Suppose you are invited to play a game in which you bet $1 on any number from 000 to 299. If your…

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Q: An election ballot asks voters to select six city commissioners from a group of twenty two…

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Q: a) Let A(x, y) =“x agrees with y”. Rewrite the following statement and its negation formally.…

A: This is a question of the predicate logic.

Q: Use graphical methods to solve the following linear programming problem. Maximize: z=3x+y subject…

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Q: a. Let |b| 1. Prove that an = |c|^n is increasing and lim n→∞ an = ∞. (Apply part a. to c = 1/…

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Q: The Fourier series representation, FS(t), of a function f(t), where f(t + 6) = f(t) is given by ao…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: y= 2sin 1/2 x   FInd the 5 key points

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Q: Let

A: We use definition to prove our result.

Q: Use Stokes Theorem to evaluate where F(z, y, z) = (y cos(2), -e* sin(2), 2ze) and S is the…

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Q: - Find the Laplace transform, F(s) of the function f(t) = (e¯t – e−¹)², t > 0 F(s) = ,s> -1 >

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Q: Let f(x, y, z) = x² + yz, g(x, y) = y³ + xy. Use the chain rule to find the derivative of the…

A: As you don't want handwritten answer, I have used LaTeX.

Q: Simplify the following and leave in a +bi form. S monents and no fractions,

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Q: K Let A = -4 -3A+3B= Find-3A+3B. 4 [8] 7-8 and B = 4 -4 [3] 8 -5

A: Addition of matrices

Q: Problem 4 Let A be a set, and let R be a relation on A. 1. Suppose R is reflexive. Prove that…

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Q: #4 y=sin(0.5√√x)/x at x = 1

A: dfdx=fx-fx-hhd2fdx2=fx-2fx-h+fx-2hh2 y=fx=sin0.5xxx=1h=0.25∴dfdx=fx-fx-hh          =f1-f1-0.250.25…

Q: Let (6,-8) be an ordered pair on the terminal side of the angle in standard position. a. The ordered…

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Q: Q18B. In what order are the vertices visited in a post-order traversal of the tree below? (Enter…

A: We have to find in what order are the vertices visited in a post-order traversal of the tree

Q: 2x sinh ( − y) + 2axy, sinh (x – y) −3Vy − z ta, 62 Vy – Let C be the line segment from (−1, 1, 1)…

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Q: L x2 dx Compute the approximations Tn, Mn, and Sn for n = 5, 10, 20 and compute the corresponding…

A: Given the integral I=∫121x2dx. We will calculate the exact value of the integral.…

Q: Problem 3 The power set of any set A is denoted by P (A) and is defined as the set of all subsets of…

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Q: 7/13 los (e) 2

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