Question 1 (1 point) Find the length of the spiraling polar curve r = 3e60 From...
(1 point) Find the length of the spiraling polar curve r = 5e30 From 0 to 21. The length is
Find the length of the spiraling polar curve T= 2e40 From 0 to 27. The length is
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.
(V)(15 pts) Find the exact slope of the tangent line to the polar curve r = 5+ cos(28) at the point corresponding to B = 7/6. (VI)(20 pts) Find the exact area of the region that lies inside the polar curve r = 1 + 2 cose and outside the circle r = 2.
Solve 1A & 1B 1A) Find the area of the region that is bounded by the given curve and lies in the specified sector. r = θ2, 0 ≤ θ ≤ π/6 1B) Find the area that r = 1 + sin(4θ) encloses.
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
The curve shown below is called a Bowditch curve or Lissajous figure. Find the point in the interior of the first to the curve is horizontal, and ind the equations of the two tangents at the origin. What is the point in the interior of the frst quadrant where the tangent to the curve is horizonta? an ordered pair. Type an exact answer, using radicals as needed ) What is the equation of the tangent at the origin when t...
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...
2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a) Graph this curve and determine the points farthest from the origin. What values of 8 give these points? (b) Determine the points closest to the origin, what values of θ give these points? (c) Find the area bounded by this polar curve. (d) Find the length of this polar curve. 2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a)...
Find the slope of the line tangent to the polar curve at the given point. r= 5 sine (25) r=5 sin 0;