(a) Label each of the polar equations with the corresponding graphs labeled I-III, or mark None'...
just make circle questions which 2,(b) and 3,(i) thank you 2. (Polar Coordinates: Polar Plots). (a) Consider the curve given in polar coordinates (i) Use a scientific calculator to fill in the following table with the (approximations of) values of the function r(0) on π, π r(e) (the approximations of the values r(e) must be good to at least two decimal places). (i) Use the graph paper for the polar coordinate system (attached to the assignment sheet) to plot the...
3. (Polar Coondinates: Areca of a Region). For each of the following regions, bounded by curves given in polar coordinates: sketch the bounding curves, shade the corresponding region. find its area, and then round the answer to five decimal places 1-cos Use the WolframAlpha website to obtain sketches of the required curws say, in order to plot the required part of the third curve in (t), enter the command polar plot r7/(1-cos(theta)), theta pi/4 to pi/2) at the website 3....
shown that is a polar equations. r = 4 r. 8 cos e i) sketch two curves on a single polar coordinate system. Shade the region enclosed by r, and ra. ii) Find the two intersection angles between r, and ra iii) Based on the answer i) and ii), find the shaded region's area.
Consider the following Polar Graphs: Figure 1 is below: Figure 2 is below: Polar Axis b* Polar Axis Figure 3 is below: Figure 4 is below: If ifik 1001kle Polar Axis Polar Axis Figure 5 is below: Figure 6 is below: Polar Axis Polar Axis Figure 7 is below: Figure 8 is below: Polar Polar Axis | Ε Figure 9 is below: Figure 10 is below: 18181% a d Polar Axis" Polar Axis Figure 11 is below: Figure 12 is...
5. The graphs of the polar curves r-4 and r-3 + 2 cos θ are shown in the figure above. The curves intersect 3 (a) Let R be the shaded region that is inside the graph of r-4 and also outside the graph of r 34 2 cos θ, as shown in the figure above. Write an expression involving an integral for the area of R. (b) Find the slope of the line tangent to the graph of r :-3...
1. How do you find the area of a region bounded by a polar curve? 2. How do you find the length of a polar curve 3. Find the area of the circle given by r = sin 0 + cos 0. Check your result by converting the polar equation to rectangular form, then using the formula for the area of a circle.
AME: 2. (24pts) Consider the curve given in polar coordinates by r-12 cos(0) Vsin(0), (0 0 < #). (i) Make a table of the values of the function f(0)--12 cos(0)/sin(0) /6 /4 n/3 5m/12 m/2 7m/12 2n/3 3n/4 5n/6 11 m/12 f(0) are to be rounded to two decimal places. (Hint. Given on 0, r); all the values f(0) an angle 9, enter the value of 0 to the variable C of your calculator, and then evaluate /(0) using the...
#49,53,57 3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...
Consider the polar graph r=1-sin theta and r= sin theta, shown below. Please help with B, D, and E 5. Consider the polar graphs r = 1-sin 0 and r = sin 0, shown below. a. Find the polar coordinates (r, 2) for all points of intersection on the figure. Hint: Not all points can be found algebraically. For b.-d., set up an integral that represents the area of the indicated region. b. The region inside of the circle, but...
Please match the graphs to the equations. thank you In Problems 29–36, match each of the graphs (A) through (H) to one of the following polar equations 29. r = 2 30. 0 = 31. r = 2 cos 32. rcos = 2 tia 3 33. r = 1 + cos 34. r = 2 sin 35. = 36. r sin = 2 4 TI = 51 27 (A) (B) (D) oo, --- (F) (E) (G) (H)