a) Prave that sinlx t Cos-lx = ½ %3D

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A: Consider the equation  cosxsiny=0.75

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Q: dy using implicit differentiation dx 1. Find а. Зху + 4x2 + 5y? %3D 5 b. y + 2x³y* + 2y² = 3x = 3y2…

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Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

Q: find dy/dx ,y= cosx

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Q: (5) sinh 2x = 2.sinh x.coshx %3D

A: (5)To prove the following identity sinh(2x) = 2·sinh(x)·cosh(x)

Q: c) Evaluate Ssin 3xcos 4x dx by using integration by part.

A: Given integral is: I=∫sin3xcos4xdx Simplifying it:…

Q: Consider the following: 25x squared +64y squared =1600 C) differentiate the explicit functions…

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Q: dy BY IMPLICIT DIFFERENTIATION: 9x dx 1. FIND %3D secy

A: We have to find dydx by implicit differentiation: 9x=sec y We know the formula of differentiation,…

Q: Find dyldx by implicit differentiation. y sin(x?) = x sin(y²) dyldx =

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Q: Let f(x) = e cosx, sx %3D 2. Express your answers in exact form. ElN

A: Inflection point occurs when the second derivative of the function equals to zero.

Q: -2 ' = cot (sinx') 3 3 Find (y') xsec x %3B

A: Given, y=cotsinx3

Q: C) use implicit nind ay differentiation to dn for 22 (Osh (y) - In (tanh 2) = y2 %3D

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