Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

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A: First check for continuity then the derivative if both exist then function is differentiable. 

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Q: Question 3 If f(x)=cos x, then f"(x)= O cos X

A: f(x)=cosx,f'(x)=ddxcosx=-sinxf''(x)=ddx-sinx          =-ddxsinx          =-cosx  

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Q: CURRENT OBJECTIVE Calculate the derivative of an inverse function Question 4 2x Find (f-1)'(a) for f...

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Q: c) lim d) lim x→0 tan 3x Зх -5

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Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x)

A: Here we have to find the maclaurin expansion of the given function.

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Q: 1. Evaluate the integral JS aA, where R is the region: {(x,y)|0 < x < 1, –3 < y< 3] x²+1

A: To evaluate the integral: ∫∫Rxy2x2+1dA where R is the region (x,y)|0≤x≤1,-3≤y≤3.

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Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y  

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A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda...

Q: SHOW YOUR SOLUTIONS. I. Eliminate the arbitrary constants. 3. x = c, cos wt + c2 sin wt ,w is a para...

A: topic - differential equations

Q: 6 The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j – 5k and...

A: (i) Given that: OP→=7i+7j-5k and OQ→=-5i+j+k. It means: P=7,7,-5 and Q=-5,1,1. The midpoint of PQ is...

Q: sin x + 10(csc x)² dx

A: To compute: ∫(sin x+10(csc x)2)dx

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Q: Using f(x) = In(3 – 2x), list the Maclaurin series expansion (e.g., f(O)x, f(1)x, f(2)x,f(m)x and f(...

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Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

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A: The given series,             ∑n=1∞ln2n+1-ln2n-1

Q: Shaw Abooraically that Fand 6 ace.ivee F)=-3x2+5,X20 gW=D5-x 3. theN explain why a restriction was p...

A: if we have to find inverse of function then interchange the x to y and we get f-1x.if y=fxx→yx=fyy=f...