(c) 2 da. (1+x³)2 (d) f In a dx. x1/3

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Q: Inverse Laplace transform, 1 (s²+1)(s-3) el Select one: O True cos(t) _ 3sin(t) e3t + 10 10 5

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Q: Question 28 Evaluate. The differential is exact. (π, π, π) (0, 0, 0) O -2 02 O 0 0 1 -2 sin x cos x…

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Q: d) x1 + 2x2 + 2x3 + 5x4 = 11 2x1 + 4х2 + 2x3 + 8x4 = 14 x1 + 3x2 + 4х3 + 8x4 = 19 X1 - X2 + X3 = 2

A: We solve the system of equations.

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Q: (c) u-8v-2w=1 u+v+5w = 4 3u-v+w=-2

A: u-8v-2w=1u+v+5w=43u-v+w=-2

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Q: 4. (a) Let f: X→Y, g: Y→ Z, and h: Y→ Z be functions. Prove or disprove: If gof=hof, then g = h. (b)…

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Q: 7. Let H be a subgroup of G. The normalizer of H in G, denoted by NG(H), is the set {x € G|xH = Hr}.…

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Q: Problem 1. If _1_1 |²|<¹ |<1 then Σx*-+-¹ = ?< X ( R-1

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Q: 12. Use Green's Theorem to convert the line integral ſy³dx+ :+3xydy in to area-integral where C is…

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Q: x-1 Inverse Laplace transform, 1 (s²+1)(s-3) Select one: O True False cos(t) 10 3sin(t) 10 + e3t 5

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Q: 43 If y³ - y = 2x, then prove that 2 Hence, show that x² - 1\d²y 27 dx 2 +x d²y 2 dx² dy 1 = -y. dx…

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Q: What point on the sphere is closest to the plane?

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Q: 44 If 2x=y¹5+y-1/5, then express y as an explicit dy = 25 y. +x. dx function of x and prove that (x²…

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Q: 4. Find q as a function of time if in an LC circuit given by the differential equation La + q = E(1)…

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Q: S H R To find the volume of the cone in the picture where S = 5 cm and R = 3 cm:

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Q: 4. Σ=11n (443) k 5. Σ.-1 32k+(-1)*4k+1 10k

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Q: Problem I Determine for which values of the real parameter a the following invertible. 1. 5. 9. 13.…

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A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…