If a curve whose polar equation is r-r0) is rotated about the pole though an angle φ, then an equation for the rotated curve is r " no- Write an equation for the limeçon「-4-sin θ after it...
2 photos but they are the one question If a curve whose polar equation is r = f() is rotated about the pole though an angle $, then an equation for the rotated curve is r = f(-6). write an equation for the limaçon r = 3 - sin after it has been rotated counterclockwise by the given amount. Use a graphing utility to graph the rotated limaçon for 8 = 7/4, e = 7/2, 8-, and 0 = 3/2....
What type of limaçon is graphed by the polar equation r-4 + 2 sin θ ? Identify the axis of (4 points) symmetry and horizontal and vertical intercepts What type of limaçon is graphed by the polar equation r-4 + 2 sin θ ? Identify the axis of (4 points) symmetry and horizontal and vertical intercepts
I need the area between the loops 4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5 4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5
A curve called the folium of Descartes can be represented by the parametric equations shown below. 912 1 + 13 9t and y 1 + t3 (a) Convert the parametric equations to polar form. 9 cos( 0)sin (6) c())3 (sin(0)5 cos(θ) ),+ (sin( (b) Sketch the graph of the polar equation from part (a). 71/2 0.10 0.05 -4 0.05 0.10 0.15 -0.05 0.05 π/2 10 1.0 0.5 0.5 -0.5 10 -0.5 (c) Use a graphing utility to approximate the area...
all parts please PART II 7) (8 pts) Given the polar equation r = 6 sin θ, 0 θ π a) Graph and find the length of the graph geometrically. b) Find the length of the graph by integrating. 8.) (9 pts) Given the four-leaved rose r 2sin(26). a) Show the symmetries. b) Find the tangents of the leaf through the pole to determine the limits of integration. c) Find the area of one leaf. PART II 7) (8 pts)...
2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that shows how you drew the graph. 2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that shows how...
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
question 12 , please sketch it by your hand , do not use computer graph θ varies from 0 to 2 π. φ varies from 0 to π/4 while 0 is constant. find 9-10 Write the equation in spherical coordinates. 9. (a) :2-x2 + y2 10. (a) a-2r+y- (b) x2 +z2 = 9 (b) x + 2y+ 3:-1 11-14 Sketch the solid described by the given inequalities. 15. A solid lies above the cone:- + y and below the sphere...