Calculating Polar Areas - Page 7

  • Calculate the area bounded by the Polar Curve # r = (2costheta+1)^2 #?
  • A farmer w/ 750ft of fencing wants to enclose a rectangular area then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?
  • What is the area of portion outside the circle #r=2# but inside the cardioid #r=2(1+costheta)#?
  • The triangle A with coordinates (3,2) (5,4) (7,4) can be mapped on to triangle D with a transformation matrix P. Find coordinates of D?
  • Find the upper and lower estimates for the temperature? The given values are attached as a picture! Thanks.