Question

The curve C1 is the circle in R 2 of radius 2 centered at the origin, directed counterclockwise; the curve C2 is the hexagon in R 2 with vertices (4, −4), (4, 4), (0, 6), (−4, 4), (−4, −4), (0, −6), directed counterclockwise; and F(x, y) = (y/(x^2 + y^2))i − (x/(x^2+y^2))j. (a) Evaluate R C1 F · dr. (b) Evaluate R C2 F · dr.

Answer #1

Problem 2. Let C be the circle of radius 100, centered at the
origin and positively oriented. The goal of this problem is to
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(i) Decompose 1 z 2−3z+2 into its partial fractions.
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radians.
1) By considering the perpendicular distances of of D and E from
AB, show that the exact value of ?...

Demonstrate that the curve r=2cos(θ) is a circle centered at
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Evaluate ∫c(1−xy/2)dS where C is the upper half of the circle
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followed by the line segment from (1,0)to (3,0) which in turn is
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radius 3 with clockwise rotation.

Find the center (h,k) and the radius r of the circle 4 x^2 + 7 x
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h=? k=? r=?

A ring of charge with radius R = 1.5 m is centered on the origin
in the x-y plane. A positive point charge is located at the
following coordinates: x = -10.1 m y = 16.8 m z = 17.1 m The point
charge and the total charge on the ring are the same, Q = +22 C.
Find the net electric field along the z-axis at z = 1.6 m.
Enet x=?
Enet y=?
Enet z=?
Thanks!!

a) Find the parametric equations for the circle centered at
(1,0) of radius 2 generated clockwise starting from
(1+21/2 , 21/2). <---( one plus square
root 2, square root 2)
b) When given x(t) = tcost, y(t) = sint, 0 <_ t. Find dy/dx
as a function of t.
c) When given the parametric equations x(t) =
eatsin2*(pi)*t, y(t) = eatcos2*(pi)*t where a
is a real number. Find the arc length as a function of a for 0
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An uncharged conducting sphere of radius 2b is centered on the
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on the origin. 1. If a charge of +q is at the origin, explain why
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respectively, and not, say, +q/2 and −q/2. 2. Repeat this question
for the case where the inner surface of the cavity is not spherical
(but the...

Compute the line integral 2xy dx + x^2 dy along the following
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Let C be the circle with radius 1 and with center (−2,1), and
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