(1 point) Find the area of the inner loop of the Imacon with polar equation r-7 cos θ-2 =cos-1(3)...
Urgent help needed related these simple calculus questions ! Thanx 5. Sketch the polar curves [3] (a) 2-2 cos θ [3] (b) 2-cos 20. 66. Find the equation of the tangent line to the given polar curve r- 3-cos θ at the point- 101 7. Use the Riemann sum compute the area under the curve of 23 from r:--1 to x-0. 5. Sketch the polar curves [3] (a) 2-2 cos θ [3] (b) 2-cos 20. 66. Find the equation of...
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...
A curve in polar coordinates is given by: r = 9 + 2 cos θ Point P is at θ = 20π/18 (1) Find polar coordinate r for P, with r > 0 and π < θ < 3π/2. (2) Find cartesian coordinates for point P (3) How may times does the curve pass through the origin when 0 < θ < 2π?
(3 points) (a) The Cartesian coordinates of a point are (-1,-V3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0) of the point, where r < 0 and 0 < θ < 2π. Y= (b) The Cartesian coordinates of a point are -2,3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0)...
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 Cartesian coordinates of a point are given. (2, −5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) =
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O) Step 1 The polar coordinates (r, e) of a point are related to the rectangular coordinates (x, y) of the point as follows. x=rcos(0) cos y = r sin(0) sin e Step 2 The given polar equation can be rewritten as follows. r 7 cote csco 1 r = 7 coto sino 2 sin(0) = 7 coto Converting to rectangular coordinates using x =...
Below is a graph of the circle r = 4 cos θ and the circle r = 2. y x −1 1 −2 2 −2 −1 1 2 3 4 (i) Find the polar coordinates of both intersection points of these two curves. (Note: show all of your work) (ii) Set up (but do not evaluate) an integral that represents the area inside of the circle r = 4 cos(θ) and outside of the circle r = 2. (Note: no...
Name: Convert the polar equation to rectangular form. 11. r-iosin θ 78 12. Find the eccentricity of the polar equation r-26+cos θ. Name: Convert the polar equation to rectangular form. 11. r-iosin θ 78 12. Find the eccentricity of the polar equation r-26+cos θ.
The region inside the curve r= 4 cos θ and outside the curve r = 2. r(t) 2 rt)4cos(t) -1 What are the coordinates of the point where the two circles intersect at the top of the picture in terms of (r,0) What are the coordinates of the same point in cartesians coordinates (x.y)? Give an equivalent version of the point in polar coordinates with r <o. What is the slope of of the tangent line to the circler 2...