Determine the linear approximation of f(x) = x at x = 1. O a. Not in the list О b. у3 3х +2 с. у %3 3x- 2 d. y=- 3 x - 2

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A: The given equation is;  y=arc sin[4+sin(x)].

Q: Use

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A: solution:-∫11-4x2 dx=let x=12sintdx=12cost dt∫11-4x2 dx=∫11-412sint2 ·12cost dt=∫11-sin2t ·12cost…

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: q1

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A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…

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A: ∫(z-2)(3z+5)dz ∫ (3z2 +5z -6z -10)dz ∫ 3z2dz  - ∫zdz -∫10dz option C is same as given so answer C is…

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A: Put x=1,y=2,z=3 in the given expression to obtain the answer

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A: The given problem is solved below in detail.

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A: Given problem:- x3 dy+xydx =x2 dy +2ydx

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A: (a) The given equation is: sin x=12, where x is any real number.

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A: To evaluate: I=∫210xdxx-1 Substitute x-1=u⇒x=u+1 & dx=du as x→2⇒u→1 & x→10⇒u→9 So,…

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A: This question is based on diffrentiation.

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A: the f(x) is always positive above the x axis. and always negative below the x axis

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