Find sin(u/2) if sinu=−0.319 and u is in Quadrant-IV. sin(u/2)=

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A: Chain rule in differentiation: also,

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A: Since you have asked multiple questions in a single request so we will be answering only first…

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A: Given: x=cos3t                                               ..1y=sin3t…

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A: This question is about differentiation or finding derivative of y with respect to x.

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A: We will find the Differential equation as following.

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A: given, y3+y=2cos xwe have to findd2ydx2 at point (0,1)

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A: .................(1) take  put all values in equation 1

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A: Here, (sin 2z-3cos 2z)2 =sin22z-6sin 2zcos 2z+9cos22z=sin22z+cos22z-3(2sin 2zcos 2z)+8cos22z=1-3sin…

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A: We can solve this problem using chain rule.

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A: According to our policies we are allowed to solve one question at a time so kindly repost other…

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A: Given   it has to find nth derivative at .

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A: To find the derivative of sinx (ie) To find ddxsinx

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Q: (b) If y = sin (m sinh¯x), find the value of (yn)o ·

A: Hi, you may find the answer in the form of hand-written note.