Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t increases. x = t3 + t, y = t2 - 6, -2

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A: formula perimeter= 2x length +2x width  area = length x width

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A: Use Chinese Remainder Theorem.

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Q: 4. Find the particular solution of the DE: -2t y" + 4y' + 4y = te *

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Q: a) Show that this series converges when x = 1. (You will need to use one of our tests.) (b) In fact,…

A: This is sequence and series.

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Q: (1) Prove by simple induction that, for each integer n 2 1, 6"+1 – 6 6+ 62 + 6 . +.. + 6" =

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A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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Q: Show that the function f : R→ R : f(x) = x° is one-one and onto.

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Q: Suppose: w = f (s,t) s = s (x, y) and s(1, 10) = –6 t =t(x, z) and t(1, –9) = 3 Ultimately, after…

A: The solution is in given below

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Q: 8. A (blue) flagpole is to be constructed in the architecturally interesting shape shown at right.…

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Q: 2 -1 . Let A -2 3 (a) Find the eigenvalues and corresponding eigenvectors of A. (b) Find a…

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Q: 1. Evaluate dz 22 where (a) C = C (1); (a) C = C† (1).

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Q: Reduc e the tolouing mateirn into oh nosemal form and hence find i te. rank 1. 4 2 L.

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Q: Solve the initial value problem y"- 9y'+ 20y = 0 where y(0) = 1, and y'(0) = 0.

A: Given differential equation is y'' - 9y' + 20y = 0 with y(0) = 1 and y'(0) = 0

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Q: 7. Which angles are supplementary? O 22 and 23 O 23 and 24 O 41 and 22 O 4 and 25 3. 2.

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Q: (a) A company has $300,000 to spend on two products. Suppose that the Utility derived by the company…

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A: We find det(ABA-1)

Q: The coordinate (x,Y) of parical (maring alony the plane curve ai t eny Hive ct. ce given by 9+2x…

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Q: Find the radius of convergence about r = -2 and interval of convergence of the series n2(x +2)" Зп +…

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