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Q: ). Show that V - u -ly- tan' u < V - u 1- if 0<u<v, < tan 1+v? 1+u 4 2< tan 4 25 3 and deduce that 3…

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Q: SP, (cose) cos no de Pn = B (n + 1, ¹), n€ N.

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A: Given;  (1-csc2(theta)) (1+tan2(theta)) =tan2(theta).

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A: Definition: Let X be a topological space and A⊆X. A is closed if the set Ac is open The interior of…

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A: we use Trigonometry identities to solve this Question

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Q: 1. Let a, b € Z so that 2a + 3b is a multiple of 11. Prove that 11 divides a - 46.

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A: Since there is some typing error in the given question. The answer of the integral is equal to π/2.…

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Q: a) Let Sex) = 6x and gt)= sint for Octe How do I find (Sog)(t) -) Let Sta): and g(t) - 7tan t śor…

A: Given that, (a). f(x) = 6x1-x2  and   g(t) = sint,                0&lt;t&lt;π2 (b). f(x) = 1x249+x2…