Find the area enclosed by the top half of the polar curve r = 2 + 2cos(theta)
Find the area enclosed by the top half of the polar curve r = 2 +...
Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ
s(100) 10.Find the area enclosed by the polar curve r = 5 cos 10 12.57T 257T 11. Determine whether the series is convergent or divergent by expressing it as a its sum telescoping sum. If it is convergent, find 00 In n+1 n=1 1 O In 2 -1 O The series is divergent. 12. Use the Comparison Test or the Limit Comparison Test to determine if the following series converges or diverges. 3 5 n=1 n5+5 converges diverges s(100) 10.Find...
Question 8 Select the curve generated by the polar equation: r=sin(20) Then find the area enclosed by one petal & Q Q B Q Area: • Question 9 Write the power series representation of the following function and find the interval of convergence of the power series (in interval notation) f(0) = 27 6 + 73 00 f(x) = n=0 Interval of Convergence:
14. Find the area A enclosed by the function r= 3+ 2 sin 0 . (Note: Assume functions, that are in the plane, of r and 0 are generally polar functions in polar coordinates unless specified otherwise.) 15. Find the area A enclosed by one loop of the function r=sin(40). (Hint: This problem is similar to the area enclosed by an inner loop problem, in this petal function each petal has equivalent area.) 16. Find the area A enclosed by...
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...
10. Find the area enclosed by the polar curve 211 cos (80) 11π Hide Elapsed: 00:0027 Instructions 22π
Find the area of the region enclosed by one loop of the curve r = 10 sin 3θ.
Find the area of the right half of the cardioid: r = 4+3 sin 0. Find the area enclosed within one loop of the curve: r = 4 cos 30.
Find the slope of the tangent line to the polar curve r=2-sin(theta) at the point specified by theta=pi/3 Slope = ____ ?
The area enclosed by the smallest loop of the curve C whose equation in polar coordinates is given by p= 20 cos(O) is: 0 o o +1 - 1 OT