44. If X-N (0, 1) and Y-N (0, 1), prove that (1) Var (sin X) > Var (cos X) (ii) EIX-YIS √8/T

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A: Given, f(x) = ln |sin x |

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A: Here we have to evaluate for a) and b) the value of f'(x).

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A: we have to find domain

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A: Introduction: Numerical differentiation is the technique of obtaining the numerical value of a…

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Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

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A: We need to perform differentiation.

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Q: 7/2 79. Prove that 0< sin x dx < Ja/4

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Q: [2, 03 b) If f(t)={ , find L{S(1)}.

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A: As per guidelines, we will solve only first three subparts. Kindly repost other subparts separately.

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Q: 22. Find f/(x) and simplify 1 -1 a) f(z) 3-52+1 3 b) f(x) 1.8Vc) f(x) = 32

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

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