For the two curves given by polar equations r = sine and r = sin20, A) Find the area of the region that lies inside both curves. B) Sketch the graph of the region.

Calculate the area of the region inside the cardioid r = a(1 + sin ) outside the r = a sin  circle and above the polar ray. Show by drawing.

Find the area of the circle given by r = sin θ + cos θ. Check your result by converting the polar equation to rectangular form, then using the formula for the area of a circle.

Given the following equation: r=3(1+cos0) i)By using a mathematical software, sketch the polar curve. ii)Find the area of the region bounded in the third and forth quadrant. Previous answers,step 2 black screen

what is y=8x2 converted to polar formula?

Use the two polar equations r=-6*cos(theta) and r=6 - 6*cos(theta) to answer parts a through b a. Determine the theta value(s) for which the graphs intersect with each other. b. Find the area of the region that lies inside r =-6*cos(theta) and outside   r=6 - 6*cos(theta)

The polar curves r = 1 - cosx and r = 1 + cosx are shown. a. Find the area of the shaded region. b. A particle moves along the curve r = 1 + cosx. Is the distance from the particle to the origin increasing or decreasing at x = 4pi/3. Justify your answer.

Please sketch all the curves and regions (understandable Hand drawing is sufficient, also shade if necessary) and do the math showing all the steps.

Given the following equation: r=3(1+cos0) i) By using a mathematical software, sketch the polar curve. ii) Find the area of the region bounded in the third and forth quadrant.

Is the formula for area in polar coordinates valid if f (θ) takes negative values?