Solve the problem. For what values of t is r(t) = cos t i + sin t j + sqrt( 9- t2) k continuous?

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Q: f(t) = t² sin bt

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Q: Let a<b. Use an important theorem to reason that t  | y(b) − y(a) | ≤ 3000(b − a).  The function is…

A: Step:- 1 Mean value Theorem :- Let f be a continuous function on [a, b] and function is…

Q: 2. (a) Show that if f analytic in a domain D, then it is independent of Z. (b) Solve the equation:…

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Q: f (x) = 3 sin x + 3 cos x, [0, 27]

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Q: 2. The function y = 2 sin (x +) has an x-intercept at A. (,0) B. (,0) C. (π, 0) D. (2π,0)

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Q: 12. Evaluate: 212-3V+1 (a) (d) / sec (2) / (b) / sec (20) de dr 1 (e) rVI-1 dr dr 16+9r2 (c) sin t…

A: The given integrals are; (a) ∫2x2-3x+1x2dx (b) ∫01x16+9x2dx (c) ∫0π/6sintcos2tdt

Q: Show that if L{f(t)} = F(s) then L{etf(t)} = F(s - k) where k is a constant. Hence find: (a) Leat…

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Q: of of and da For the function f(t,a) = sin (4rt+ 7a), find - at

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Q: of of and da For the function f(t,a) = sin (8rt + 7a), find %3D - at

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Q: Prove that the function f(z) = sin(x)cosh(y) + i cos(x)sinh(y) is entire.

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