11. Sketch the graph of the polar equation by plotting points. Complete the table. r =...
[12] Sketch the graph of r = 1.5 + 3sin in the polar plane provided. o 90° 0° 180° 30° 150° 270° 45° 135° 60° 1200 210° 225° 240° 330° 315º 300° r Approximations 12 1.5 + 3 3.6 1.5 - 3 2 2 *-0.6 2 1.5 + 3 13 2 > 4.1 1.5 - 3 sch 3 2 % -1.1 119/12 1/2 511/12 2013 al3 37/4 51/6 11/25 77/2 71 0
[12] Sketch the graph of r = 1.5 + 3sine in the polar plane provided. o 90° 0° 180° 30° 150° 45° 135° 60° 120° 210° 330° 225° 240° 270° 315º 300° 1 Approximations 1.5 + 3 V2 2 3.6 1.5 - 3 2 2 *-0.6 1.5 + 3 13 2 4.1 1.5 - 30 13 % -1.1 2 11/12 1/2 511/12 2013 1/3 3014 9/4 51/6 →% 196/25 7/12 >O
10. Sketch the graph of the polar equation. r=3 90° 4 120° 60° الا 150° 2 30° 180° 0° 210° 330° 240 300° 270°
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O) Step 1 The polar coordinates (r, e) of a point are related to the rectangular coordinates (x, y) of the point as follows. x=rcos(0) cos y = r sin(0) sin e Step 2 The given polar equation can be rewritten as follows. r 7 cote csco 1 r = 7 coto sino 2 sin(0) = 7 coto Converting to rectangular coordinates using x =...
4. Sketch the polar curve r = sin? 0. 90° 135° 45° 180° 0° 225° 315° 270°
13) Sketch the graph of the polar equation r = 2. Label two points.
Graph the polar equation r=6 sin 30 OD Convert the Cartesian equation to a polar equation that expresses r in terms of e. (x + 3)² + y² = 9 = (Type an expression in terms of 0.)
2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that shows how you drew the graph. 2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that shows how...
Sketch the graph of r = 2 by finding the set of points whose polar coordinates have r = 2 (along with any 8). Check by finding a Cartesian formula for this shape (hint; in the notes we have a formula for p in terms of ar and y) Sketch the graph of 0 = by finding the set of points whose polar coordinates have 8 = 4 along with any r. Check by finding a Cartesian formula for this...
8 s) Sketch the polar curve: 5cos(40) Show a table of values (using multiples of Pi/12) and graph the curve on the polar grid provided. Your points from the table should be visible on the graph 9) Find the area enclosed by 3-sin(6) 8 s) Sketch the polar curve: 5cos(40) Show a table of values (using multiples of Pi/12) and graph the curve on the polar grid provided. Your points from the table should be visible on the graph 9)...