Use a graphing utility to graph the polar equations. Find the area of the given region analytically. Common inter...
thats all no more information. 36. Question Details LarCalc11 10.R.065 My No The rectangular coordinates of a point are given. Plot the point -1,2) -42 -2 -2 Find two sets of polar coordinates for the point for 0 smaller 8-value r, 6)- larger 9 value)- θく2 (Round your answers to three decimal places.) 37. Question Details LaiCalc11 10.R 107 МУ Notes Use a graphing utility to graph the polar equation. common intariar of r - 4 -2 sin( and4+2 sin(0)...
8. (a) Use a graphing utility to graph the curve represented by the following polar equation: r(e)-2cos(3) over the interval 0s0<t. b) Find the area of one petal of this curve. (c) Shade the interior of the petal whose area you are computing. (Be careful with your notation show orientation arrous on your curve, and show your steps clearly.) (b) area of one petal of this curve- 8. (a) Use a graphing utility to graph the curve represented by the...
please include the graph 12. la) Use a graphing utility to graph the curve represented by the following polar equation: r(θ)-1-cos(θ) over the interval 0 ses 2. (b) Find the arc length of this curve over the interval with your notation, show orientation arrows on your curve, and show your steps clearly.) (b) are length of this curve over the interval 0 0 S 2,- 12. la) Use a graphing utility to graph the curve represented by the following polar...
Sketch the graph, find the points of intersection, and then find the area of the region that lies inside the graph of the first polar equation and outside of the graph of the second polar equation. - 7 - 7 sin(8), P-7
I need the area between the loops 4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5 4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5
Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4, x = 0, x = 2, y = 0 Evaluate the definite integral by the limit definition. 7 x dx -6 X Evaluate the definite integral. Use a graphing utility to verify your result. (t1/ dt
A curve called the folium of Descartes can be represented by the parametric equations shown below. 912 1 + 13 9t and y 1 + t3 (a) Convert the parametric equations to polar form. 9 cos( 0)sin (6) c())3 (sin(0)5 cos(θ) ),+ (sin( (b) Sketch the graph of the polar equation from part (a). 71/2 0.10 0.05 -4 0.05 0.10 0.15 -0.05 0.05 π/2 10 1.0 0.5 0.5 -0.5 10 -0.5 (c) Use a graphing utility to approximate the area...
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.
4. Consider the area of the region that lies inside the curve given in polar form) by r = 6 sin(@) and outside the cardioid given by r=2+2 sin(0). (a) (3pts) Set up but do not evaluate an integral(s) which represents the area of this region. (b) (3.5pts) Evaluate this integral to determine the exact area of this region. (Hint: you will need to use a trig, identity)
Show all work please! 1. Graph the polar equations r = 3-2sin(0) and r = 2. Find and label any key points that you will need to find the area that lies in the common interior of the two polar curves. Set up the integral(s) and please show all the work to integrate and evaluate your integral manually.