Let YR be the arc of the circle {|z| = R} that lies between the ray Arg(2) = T/4 and Arg(z) = 37/4. Prove that %3D eiz ;dz = 0. - ai lim

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Q: Find an arc-length parameterization of the line passing through (1, 0, 1) and (1, 2, 3).

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Q: Find the arclength of y = 4x³/2 on 1 < x < 3

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Q: Consider the curve f(y) = -y + for 1 <y<2. Find the arc length of the curve.

A: The curve is fy=18y4+14y2 where 1≤y≤2. The arc length of the curve fy on the interval a,b is defined…

Q: Consider the curve f(x) = x3 + ! for 3 < x < 4. Find the arc

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Q: If C is a circle of radius 8 centered at the point ( 0, 5 ), then evaluate pain(2dr + (11æ sin(y*…

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Q: Let F(x, y) = x²e*i+ 60x²y² j, and let C1 denote the curve consisting of the line segment from (0,0)…

A: Given, F(x,y)=x2ex,60x2y2 The curve C1 consists of the line segment Ca from 0,0 to 1,1, followed by…

Q: 8. Given the space curve r(t) = (sin²t, cos't, tant), find an equation of the tangent line in…

A: Given : the space curve r(t)=sin2t, cos2t, tan t To find : The aim is to find an equation of a…

Q: 1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has…

A: When we integrate a vector-valued function over a path, the integral is referred to as the line…

Q: Find the arclength of y = 2a + 4 on 0 < a < 4

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Q: Find f (x-y3)d a + xy dy if the contour C looks as follows: It consists of two arcs of radius 1 and…

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Q: 6a) Let A be the parabolic arc defined by the equation y = 8x – x´ over the domain interval [0, 8].…

A: (a) Consider the given function. y=8x-x2 Now, draw the above function by using the calculator.