Evaluate: x?sin2x dx A - 2x?cos2x+2xsin2x - cos2x +C 4 2x?cos2x - 2xsin2x+ cos2x -+C B 4 2x?cos2x + 2xsin2x – cos2x C) +C 4 (D) None of the given choices

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A: We will find the implicit differentiation. 

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A: See the details solution in below

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A: Find the double integration. 

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A: Topic = Integration

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A: Given query is to find the Cartesian equation if the curve.

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Q: Find the relative extreme of the function f (x) 12+2x+2 and where they occur.

A: Given: - The function is, f(x)=x+1x2+2x+2 To find: - The relative extreme of the given function.

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Q: Sa² -6x +1, a < 6 7-x, x26 Evaluate the following limits for h(x): and Justify your answer. (i) lim ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

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A: ∫∫D f(x,y) dx dy = ∫y1y2∫x1x2 f(x,y) dx dy

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A: To find out the correct statement. 

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A: Given query is to find function is continuous or not at x = 4.

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A: (a) Given: - The condition is the same direction as -2i+9j. To find: - The unit vectors that satisfy...

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A: Solve the following

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A: The given function,  fx=2x+6,x&lt;612,x=6-x+24,x&gt;6

Q: In exercises 1-23 solve the given differential equations: 11. sec2xdy+csc ydx = 0

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A: see below the answer and explanation

Q: dy/dx

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Q: The coefficient of sin( 2x) in the antiderivative of F(x) = [ cos is Blank 1 (use fraction form not ...

A: Given that Fx=cosx26Solution ; Antiderivative of Fx=∫ FxdxFx=cosx26=cos2x23=1+cosx23=181+cosx3=181+c...

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Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t L...

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: dx 4 (2x+1)1 01

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Q: Given F(x)=2f(xr)-8(x) and fS-1) = 2, f'(-1) = 3,9(-1) = -5,g'(-1) = 4, find F'(-1). %3D %3D

A: The detailed solution is given below Thank you 

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Q: If g is continuous at a and f(x)=(x² -a )g(x)., find f'(a). S(x)-f(x,) Hint: Use f'(x1) = lim x-x1 %...

A: Given query to find the derivative at x = a.

Q: tany Oメ

A: The given limit,      limx→0tan xsin 2x

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A: The given integral,∫x sin-1x dx1-x2