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