find the length of the curve r=1+sin(theta) 1. Find the length of the curve r =...
Find the slope of the tangent line to the polar curve r=2-sin(theta) at the point specified by theta=pi/3 Slope = ____ ?
Given the polar curve r=2+sin(2theta) for theta is greater than or equal to 0, and less than or equal to pi, find the angle theta that corresponds to the point on the curve with x-coordinate 2.
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...
2. Find the length of the curve traced by the fiunction vector r+ej +sin +5) k on the interval 0sts.
Question 1
(1 point) Find the length of the spiraling polar curve r = 3e60 From 0 to 21 . The length is (1 point) Find the area of the region that is bounded by the curve r = V6 sin(0) and lies in the sector 0 Sost. Area =
a. Find the center of mass for lamina defined by the interior of
the polar curve r=sin(3) with a density
that varies according to p(r,theta)=1/r
b. Find the volume of the cylinder inside the sphere
For part a I got a mass of 2 but not sure about the x bar and y
bar calculations.
For part b Im stuck on the z bounds for the integral when doing
the problem with the cylindrical coordinate method.
We were unable to...
Question 17 Calculate the arc length of the curve r(t) = (cos: t)+ (sin t)k on the interval 0 <ts. Question 18 Find the curvature of the curve F(t) = (3t)i + (2+2)ż whent = -1. No new data to save. Last checked a
Find the length of the entire perimeter of the region inside r=13sin(theta) but outside r=3.
Problem 4, Find, for 0-x-π, the arc-length of the segment of the curve R(t) = (2 cos t-cos 2t, 2 sin t-sin 2t) corresponding to 0< t < r
(1 point) Find the length of the curve (t) = (ea cos(4), et sin(), eä) for 0 st 55. Arc length =