Problem 2. (a) Sketch the curves expressed here in polar coordinates r1=1+sin(0); r2 = 2 –...
find the area of the region that lies inside both curves “ areas and lenghth in polar coordinates” show work and explain thank you Find the orca of the region thod hes inside bo th curveg Find the orca of the region thod hes inside bo th curveg
5. Consider the polar graphs, r = 1-sin θ and r = sin θ , shown in the figure below. Find the polar coordinates (r, θ) for all the points of intersection on the figure. a) b) Find the area of the region that lies inside both the graph of r-1-sin θ and Find the slope of the line tangent to the graph of r-1-sin θ at θ-- Find a Cartesian equation for the line tangent to the graph of...
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....
NAME Q2. (24pts) Consider the eurve given in polar coordinates by 11 sin(0)Veos(). (-/ 2 < e</2) . r 6) Make a table of the values of the function f()- 11 sin(0) /co0) -Se/12)-/3-/4 6-/12 /12 | /6 /4 /3 | 5/12 -/2 tatwatwlaat on 1-r/2./2: all the values f(0) are to be rounded to two decimal places, (Hint. Ciaen an angle 0, enter the value of to the variable C of your caleulator, and then evaluate f(e) using the...
Sketch the phase portraits for the following systems. (Here r and θ are polar coordinates in the plane.) a. r' = r3 - 4r θ' = 1 b. r' = r(1 - r2)(9 - r2) θ' = 1 c. r' = r(1 - r2)(4 - r2) θ' = 2 - r2
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...
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. Sketidh the motion ofa paricle on zu plane as t varies in te given intera 4. Sketch the curves ri 2cos0 and 2 1 + cos0 on ry-plane. 5. Find all intersection points of these curves for 0 < θ < 2π. 6. Find the area of the region that lies inside the curve ri and inside of the curve 72. 3. Sketidh the motion ofa paricle on zu plane as t varies in te given intera 4. Sketch...
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. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 0 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that eive complete cycle for each curve. a b. Discuss the symmetry of each curve. ulate the area for the region of overlap that you shaded and described in part a. Show all steps...