10. Find the area enclosed by the polar curve 211 cos (80) 11π Hide Elapsed: 00:0027...
12 10. Find the area enclosed by the polar curve 2 11 cos (80). 11T Hide Elapsed: 0000 27 Instructions O22π 11. This question is worth 20 points. You must complete both parts. Parts (a) and (b) are not related and should be answered as separate, distinct problems. θ2,0 θ (a) (10 points) Graph the polar curve r (b) (10 points) Find the surface area given by rotating the curve ya froma1 to 3 about the z axis. 12. This...
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...
Find the area enclosed by the top half of the polar curve r = 2 + 2cos(theta)
Select the curve generated by the polar equation: p = 2 + cos(0) Then, find the area enclosed 1 -2 X st Area:
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:
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
Find the area of the region enclosed by one loop of the curve r = 10 sin 3θ.
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.
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...
help me question 3 stated 1 V3 1, Determine the polar coordinates of the point (z,y) 2, Determine the line tangent to the polar curve T 1+cos θ when θ Be sure to write your line in the form y mx +b 3. Determine the area enclosed by the polar curve cos(28), 0 θ < 2π r Determine the area of the inner loop of the the polar curve stated 1 V3 1, Determine the polar coordinates of the point...