Question Seven a) Show that: dx = sin" +c b) If x-a cost+ In an), y=a sint , show that = tan x. dx e) Show that the radius of curvature at the point (За За) of the folium x' +y' = 3axy is 2 2 За 8/2

Q: Sinize da Cos2x-5 Cosse +4

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Q: 26. / cor' u du = cor? и - In | sin ul + с

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Q: Reparametrize the curve B(t)= (et cost, et sint, et) by arclength.

A: The fundamental theorem of calculus is a theorem in calculus that connects differentiation with…

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A: our objective is to find the new coordinates.

Q: tind Laplae Trausfum of FG) = (S 4 la)

A: See the attachment

Q: Find parametric equations for the tangent line to the curve a-tcost, y-t, z- tsint at the

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Q: Q3b): Compute zdz over several contours (i) The line from 1 to 1+ i. (ii) The circle of radius 1…

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Q: 13, mz1=(x² +7) and mz2 (2x² + 19)".

A: we have to find the angle between the floor and the light beam.m∠1=12x2+7°m∠2=2x2+19°sincem∠1=m∠3now…

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Q: sinty

A: This is a basic integration problem

Q: y² 4. Find an equation of the tangent line to the ellipse += point (2,,-V3) 1 at the 16 4 Select the…

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Q: angents PA and PB are drswn to x\power{2}+y\power{2}=a\power{2} from the point…

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Q: Find the radius of curvature at any point x = - of the curve

A: Given,             y=4sin2x-sin4x at  x=π4

Q: determine the parametric equations of the tangent axis to the ellipse x²/9+y²/4=1 at the point T =…

A: As we know that the parametric equation of ellipse at a point acosθ,bsinθ  is given by…

Q: St) = r°+x}

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Q: The points of intersection between the Curves r 3sine and r=2-sine are: A)G and () B)e중)and (글,증)…

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