116. a. Show that if ƒ is odd on [-a, a], then f(x) dx = 0. -a b. Test the result in part (a) with f(x) = sin x and a = ™/2.

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A: Answer and explanation is given below

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A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

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A: f(2)

Q: A. Odd B. Neither 16. Let f(x) = 2x - 1 and g(x) = x² + 3. Calculate the value of (f-g)(4). [✔✔✔]

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

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Q: 4. Given f(x) = sin² (2x) find the slope at (5, 1) a)-√3 b) √3 d) 0.1395

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A: Given data is: fx=11-21+11-x Calculate the value of f12 and the domain of the function.

Q: 4. Use the fplot command to plot the function f(t) lcos(3x)+ sin (4x) in the domain -25 x S2. %3D

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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