lllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlllllllIIIIIIIIIIIIIlll

Part 1

1.

Plot the point whose polar coordinates are given Then d the Cartesiam coordinates of the point. (a) (2, 31) Z \f(c) (-5 , - 4 4 2 2 2 2 X X X X -4 -2 2 4 -4 -2 2 4 -4 -2 2 4 -4 -2 2 4 -2 -2 -2 -2 -4 -4 -4 -4 O ( x, V ) =Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. (a) 8, 3 (x, y ) = (b) -8, 3n 4 (x, y) = (c) (-9, 3 (x, y ) =Consider the following. X = 3t + 4, y = 4t + 3 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. CHOICE A CHOICE CHOICE C 20 20 20 10 10 10 X X - X -20 - 10 10 20 -20 -10 10 20 -20 -10 10 20 -10 -10 -10 - 20 -20 -20 O O O CHOICE D 20 10 -20 -10 10 20 - 10 -20 O (b) Eliminate the parameter to find a Cartesian equation of the curve.Consider the parametric equations below. x = vt, y= 3 -t (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. CHOICE A CHOICE B CHOICE S, 2 3 5 -5 -3 4 3 4 5 - 2 -2 -2 -4 -4 - 6 -6 - 6 - 8 -8 -8 -10 O O -10 -10 O CHOICE D -5 -4 -3 -21 -4 - 6 -8 -10 (b) Eliminate the parameter to find a Cartesian equation of the curve. for x 2 0Find an equation of the tangent tn the curve at the paint terreepending to the given value {if the parameter. x=t3+l, y=tm+f; t=1 \fConsider the following. x = 5 sin(80), y = 5 cos(80), Oses (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. CHOICE A CHOICE B -5 -5/ O O O CHOICE D 5 -5 -5 OFind an equation of the tangent to the curve at the given point. x = tz - 4t, y = tz + 4t + 1; (0, 33) Graph the curve and the tangent. 40 40 40 40 30 30 20 30- 20 20 10 20 10 10 10 ULL 10 X O -20 30 40 10 -20 X 30 40 10 -20 X 30 40 10 20 30 X 40Find a Cartesian equation for the curve. F = 7 cos(8) Identify the curve. O limacon O ellipse O line O circle O hyperbola\fFind a Cartesian equation for the curve. 12 cos(20) = 81 Identify the curve. O hyperbola O ellipse O limacon O line O circle