4. Consider the area of the region that lies inside the curve given in polar form)...
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...
8. Set up a double integral to represent the area of the region inside the circle r= 3sin 0 and outside the cardioid r=1+sin 8. Use technology to evaluate the integral. Give the exact answer.
1. Find the area (exact value) of the region that lies inside the curve r=5cosθ and outside the curve r=2+cosθ 2. Find the area (exact value) of the region that lies inside between curve r=5cosθ and r=2+cosθ 8. Find the area (exact value) of the region that lies inside the curve r = 5cose and outside the curve r = 2 + cose. 9. Find the area (exact value) of the region that lies inside both curves r = 5cose...
Find the area of the region that lies inside the first curve and outside the second curve. r = 3 - 3 sin(θ), r = 3 Find the exact length of the curve. Use a graph to determine the parameter interval. r = cos2(θ/2)
Sketch the region and use a double integral to find the area of the region inside both the cardioid r=1+sin(theta) and r=1+cos(theta). I have worked through the problem twice and keep getting (3pi/4 - sqrt(2)). Can someone please explain how you arrive at, what they say, is the correct answer? Sketch the region and use a double integral to find its area The region inside both the cardioid r= 1 + sin 0 and the cardioid r= 1 + cosa...
1. Consider a curve C in the xy-plane given in polar form by r 2 = sin(2θ). (a) (3 points) Draw the graph of C. Particularly, be clear in showing the tangent lines to C at the pole. [Hint. The period is π.] (b) (2 points) Compute the area of the region inside C
c. Sketch the curve and find the area of the region that lies outside r 2sin0 and inside r=sin0+cos (you must use integral for this question, otherwise(like using formula for area of a circle, etc.,) you will get 0 point) c. Sketch the curve and find the area of the region that lies outside r 2sin0 and inside r=sin0+cos (you must use integral for this question, otherwise(like using formula for area of a circle, etc.,) you will get 0 point)
Find the area of the region that lies inside the first curve and outside the second curve. r2=72 cos(28), r=6
Use a double integral in polar coordinates to find the area of the region bounded on the inside by the circle of radius 5 and on the outside by the cardioid r=5(1+cos(θ))r=5(1+cos(θ))
help please 5. Evaluate the area of the shaded region (inside the larger circle and outside the smaller one) by using the double integral in polar coordinates Hint: Treat the right and left parts of the region separately:) 5. Evaluate the area of the shaded region (inside the larger circle and outside the smaller one) by using the double integral in polar coordinates Hint: Treat the right and left parts of the region separately:)