(d) Determine the right cosets of ((1 2), [1]) € S3 x Z2.

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Q: Q6 Find Laplace transforms of the following functions: if 0<t<2 (a) f(t)= cos 3t 4 if 2 <t You may…

A: cos(3t)= cos(3t-6+6) Hence, cos(3t)=cos( 3(t-2)+6)

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Q: -() 84. State four points where cos x = infinite number of these points? Why is there an

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A: We have to find the area using simpson 3/8 six interval rule.

Q: What is the relative error in estimating the first derivative of f(x) = 25x³ - 6x² + 7x - 88 at x=2,…

A: Solution

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Q: Q10) The general solution of y+2y"-y-2y = 0, is: a) y(x) =ce²+₂*+* b) y(x) = c₂e-+6₂8 Q11) L(y") =

A: Solution :-

Q: 2. Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, 2² + y²

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Q: The function f(x) = (4-x²) is difficult to s(three terms) to simplify the integration, then find the…

A: This is the problem of Taylor and Maclaurin series.

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A: A  function f(x,y)f has a relative maximum at the point (a,b) if  f(x,y)≤f(a,b) for  for all…

Q: 3 s² + 1 6 s² + 1 Option 4 O * The Laplace transform of the x(t) is x (t) = 3 sint 3 s²+2 6 s² +2…

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Q: For the rectangular coordinates (0,2), (a) plot the point, and (b) give two pairs of polar…

A: To find the polar coordinates we shall use the following transformation                      x=r cos…

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A: We have to solve given problems:

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A: Gjfdrftvvv

Q: Using five significant figures in the computations, determine d(sinx)/dx at x = 0.8 from a) the…

A: Let us solve the given Numerical Analysis problem in the next steps.

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Q: 2. Calculate the centroid of the thin plate R which bounded by r = 1, y = 0 and, 2² + y² = 4.

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Q: Rewrite the following quantities my 1) e5ln x+4Lny-In z 2) 2Ln√x + 2Lne - 2Lne* 1

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Q: Using five significant figures in the computations, determine d(sinx)/dx at x = 0.8 from a) the…

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Q: Find the area A of the region that is bounded between the curve f(x) = -4 sin () and the curve g(x)…

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Q: Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 8. Solve the linear system Ax-b by x₁ + x₂-3x₂ = -1 -x₁ + 2x₂ = 1 x₁ - x₂ + x₂ = 2 a) finding the…

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Q: 1)y = (8 + 7x³) 2)y = (x + 5)(2x+3) Find the derivative of the following functions (answer only two)…

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Q: Given f (t) = L-1 | ++43+1()-3). value of k is if lim f (t) = 1, then the 1-00 3 4 о 1 2 оо

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Q: (b) (a) -5 Q7) L(y") = a) s²L(y(x)) + sy(0) - y'(0) c) s²L(y(x))-sy(0) - y'(0) b) s² L(y(x)) + sy(0)…

A: We have to find the correct choice.

Q: Investigate if the integral is convergent or not. Justify your answer.

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Q: ( 84. State four points where cos x = infinite number of these points? . Why is there an

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Q: If fn If 0 ≤ an ≤ bn for all n € N, and f on [a, b], then lim ſå fn ‡ få f. an converges, then bn…

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Q: (a) in degrees. x) in radians

A: Given as, e=10 sin 314t

Q: Evaluate (6+3 cos x) dx using Simpson's 1/3 Rule (n=4). O 12.114624 O 12.42518 O 12.386215 O…

A: Simpson's 1/3 Rule n=4: ∫abf(x) dx≈h3f(x0)+4fx1+2fx2+4fx3+fx4 Where                  h=∆x=b-an

Q: Let M(R) denote the set of all mappings from R to R. For mappings f,g: R → R, define pointwise…

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Q: 2. Use Laplace transform to solve with y(0) = 1 and y'(0) = 0. y" + 2y' + 2y = 8(t = π)

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Q: Find the simple interest earned on 5,000 deposited 40% for 10 years.

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Q: Question 6 Given integers a, b, c, d = Z, and m, n € N. (a) Suppose that a = b (mod n), and that m |…

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Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(5) Sc a) fc…

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Q: Activity III PROBLEM SOLVING. Solve for the following problems. NO SOLUTION MEANS WRONG. 1. How many…

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Q: ompute the following integral, with poles and emainders.

A: compute the integral using residue theorem

Q: ao + a₁(x- Q15) Given that y₁ (t) a) t b) t 016) 6-16 1 21 31 41 51 d)y(x) 21 31 41 51 = t is…

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Q: Solve for the volume of the solid generated by revolving about the x-axis the area under y = √√x…

A: This question is related to volume of solid.