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(Solved): What is the area of the region enclosed by the lemniscate r^(2)=18cos(2H) shown in the figure above? ...



What is the area of the region enclosed by the lemniscate

r^(2)=18cos(2H)

shown in the figure above? (A)

(9)/(2)

(B) 9 (c) 18 (D) 24 (E) 36 A curve is described by the parametric equations

x=t^(2)+2t

and

y=t^(3)+t^(2)

. An equation of the line tangent to the curve at the point determined by

t=1

is (A)

2x-3y=0

(B)

4x-5y=2

(c)

4x-y=10

(D)

5x-4y=7

(E)

5x-y=13

What is the slope of the line tangent to the polar curve

r=1+2sin\theta

at

\theta =0

? (A) 2 (B)

(1)/(2)

(C) 0 (D)

-(1)/(2)

(E) -2

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