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Answer:
See IN set by step
Step-by-step explanation:
1.We choose a fish pond of radius 3 centered at (x, y) = (0, 3). The equation of the circle is ...
(x -0)^2 +(y -3)^2 = 3^2
x^2 +(y -3)^2 = 9
At this location it is easy to draw a radius along the y-axis to a point of tangency at the origin. That radius is a vertical line, so the tangent line will be perpendicular--a horizontal line.
A horizontal line through the origin has equation y = 0, and its point of intersection with this circle is (0, 0).
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Comment on the question
You haven't elaborated on what the lesson discussed, so we have no idea what steps you want included.
I could not answer 2 and 3 but maybe if i get it i will edit this paper and add it in.