Use the trapezoidal rule with n = 20 subintervals to evaluate -S₁ 0 sin 3x x²+x+1 places. Answer: Itrap = dx accurate to six decimal

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Q: If (x + iy)³ = u + iv, then show that И V ---- + w y = (x² - y²).

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Q: Circulation and flux For the following vector fields, compute (a) the circulation on, and (b) the…

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Q: a) Solve it using Gauss' method. Solution: x + 3y + z + w = 6 -Y +2w=-4 2x + 5y + 2z+4w = 8 X +7w=-6…

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Q: F. Suppose that gcd(n,m) >1, and let G = Zn xZm. Show that there exists a number k 1, then Zn xZm is…

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Q: 1. Let "W" be the set of vectors of the form below. Show that "W" is a subspace of R4. You must show…

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Q: Using the figure to the right and the following side lengths, find the value of x. RS=3(x-4)+9 and…

A: Given Figure is Here given that RS=3(x-4)+9⇒RS=3x-12+9⇒RS=3x-3andRT=3(3x-9)⇒RT=9x-27

Q: Find the Taylor polynomials of degree n approximating for a near 0: For n = 3, P3(x) = For n = 5,…

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Q: Caleb is learning about proportions in 6th grade. As part of the lesson, the students are taken…

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Q: Use Fourier Analysis identity to prove ** sin sin(mx) cos(nx) dx = 0.

A: To prove:  ∫-ππsinmxcosnxdx=0

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Q: An investment account promises yearly rate of 5,2 % compounded quarterly for the first 3 years and…

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Q: 8z Compute the inverse z-transforms of z²-6z+25

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Q: y=√√√x-1, x−y=1

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Q: olve each of the following D y"+y' - 20y = 0 2y" - 3y' + y = 0

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Q: f(x,y)=x-y; x² + y² ≤ 1, x+y≥1

A: Note: Cartesian-polar coordinates relation: x=rcosθ, y=rsinθ .

Q: Differential operarators (D-operator) Find General Solution; yh typ 3 (Ď+7 Ď+20Ď+28Ď+ 19D+5)y=2€²

A: FIRST OF ALL WE FIND HOMOGENOUS SOLUTION WITH THE HELP OF AUXILLARY EQUATION AND ROOTS OF AUXILLARY…

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Q: Determine the inverse Laplace transform for the following signal: se s + e-2s s² + 2s + 1 X(s) = - S…

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Q: Let {1, 2, 3, 4, 5, 6} be the standard basis in R6. Find the length of the vector = 32₁ - 22 - 23 -…

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Q: & Find the sum of the following series. If it is divergent, type "Diverges" or "D". Answer: 71-0 5…

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Q: Suppose that $10,681 is invested at an interest rate of 5.6% per year, compounded continuously. a)…

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Q: u v If (x + iy)³ = u + iv, then show that + = (x² - y²). - X y ---

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Q: Say that you need to compute a double integral of the function f(x,y)=xy over the region D bounded…

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

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Q: Convert the complex number z = 2 cos 2= 0 help (numbers) Note: You can earn partial credit on this…

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Q: In general, which fund should you pick if you want to keep it invested for a very long time (e.g.…

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Q: 8. Solve the initial value problem for the following system: where x(0) = 1, y(0) = 0. dx dt dy dt =…

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Q: Express the limit lim n→∞ Provide a, b and f(x) in the expression a = (³ (x ) ³ - 4(x²) ¹) Ax; over…

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Q: The left end of a rod of length I is held at temperature 0, and the right end is insulated. The…

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Q: I got a different answer. You had happened to make the y and z coordinates negative when defining…

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Q: Let f(x) = -5 Do the following. ex e (a) Evaluate the limits: lim f(x) and_lim_f(x). x→1+ x18 (b)…

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Q: 10. Show that if a <b and c <d, the function f(x) = (d-c) (x - a) + c is one-to-one and (b-a) onto…

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Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

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