Let V be the vector space of functions which  have B={sin ?, cos ?} as a basis, and let D  be the differential operator on V. Find the  characteristic polynomial Δ(t) of D.

Q: 2. Consider the floor function [.] whose output is the largest integer less than or equal to the…

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Q: 11. (a) Let u : R → R" and v : R → R". By writing u v as a summation, prove that (u · v)' = u' · v +…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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A: Since you have posted multipart questions i can do first three subparts as per our company…

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A: Given that c1(t) = e5ti + 7sin(t)j + t4kc2(t) = e-5ti + 3cos(t)j -4 t4k

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A: rt=t, t, t

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A: We have to solve given problem:

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Q: 10. Let V be the vector space of functions spanned by B = {cos x – sin a, cos a + sin æ}. Find the…

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Q: dr = wa x b dt r X

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Q: -T - r(t) = (√√t² — 1, log (t² − 3t + 2),-

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