I ONLY NEED HELP ON PART TWO FOR BOTH PROBLEMS PLEASE HELP The goal of this prob

Question

I ONLY NEED HELP ON PART TWO FOR BOTH PROBLEMS PLEASE HELP

The goal of this problem is to graph the curve associated with the polar equation r = 4 sin 2 theta First use a separate page to make a table of r and theta values satisfying the equation (or else make a plot for the above equation using Cartesian coordinates), and use this information to sketch the graph of the curve in polar coordinates. Next, using the linked page of curves and points, identify the curve that you've drawn, record the curve's two-letter "code" (such as CL, CR, CU,...), and provide coordinates (r, theta ) for the two points P and Q shown on the curve (i.e., (r, theta ) must satisfy the equation for the curve). Two-letter code for your curve: [Your answer should be one of the two-letter codes on the linked page, e.g., CL, CR, CU,....] Write the polar coordinates of the points P and Q shown on the linked page. Important: Because of nonuniqueness of polar representations, for each point pick the coordinates (r, theta ) satisfying the equation, where theta 0, is the smallest possible (nonnegative) angle, in radians, which may be used to represent the point. Do not use decimals in your answers. Coordinates for P: Coordinates for Q: The goal of this problem is to graph the curve associated with the polar equation r = 7/2 + 7cos theta First, use a separate page to make a table of r and theta values satisfying the equation (or else make a plot for the above equation using Cartesian coordinates), and use this information to sketch the graph of the curve in polar coordinates. Next, using the linked page of curves and points. identify the curve that youve drawn, record the curve's two-letter "code" (such as CL, CR, CU,...), and provide coordinates (r, theta ) for the two points P and Q shown on the curve (i.e., (r. theta ) must satisfy the equation for the curve). Two-letter code for your curve: [Your answer should be one of the two-letter codes on the linked page, e.g., CL CR, CU,....] Write the polar coordinates of the points P and Q shown on the linked page. Important Because of nonuniqueness of polar representations, for each point pick the coordinates (r, theta ) satisfying the equation, where theta 0, is the smallest possible (nonnegative) angle, in radians, which may be used to represent the point. Do not use decimals in your answers. Coordinates for P Coordinates for Q

Explanation / Answer

for r = 4 sin 2t
two letter code for curve: BY
coordinates for P
r = -4 , t = 5pi/4
coordinates for Q
r = 4 ,t = pi/4

for r = (7/2) + (7 cos t)
two letter code for curve: LL
coordinates for P
r = 10.5 or 21/2 , t = 0
coordinates for Q
r = 3.5 or (7/2) ,t = pi/2

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