2. Assume that the sum is fixed at the point (0,0) in the x,y plane. The...

2. Assume that the sum is fixed at the point (0,0) in the x,y plane. The path of a comet around the un is given by the equation y = x² - 0.5 in astronomical units. (One astronomical unit is the distance between the sun and the Earth).

a. Use a graphing tool, such as Desmos, to graph the function.

*I have done the part and got the graph*

b. Find the coordinate of the point where the comet is closest to the sun. (Recall that the distance of a coordinate from the origin is given by Pythagoras theorem d = sqrt(x² + y²).

c. If the Earth is at the point (1,0) when the comet passes by, what are the coordinates of the point where the comet is closest to the Earth? (Recall: distance between (x,y) and (x₁,y₁) is d = sqrt((x-x₁)²+(y-y₁)2

Thank you so much and stay safe!

Expert Solution

Thanks gentleman here is the Solution of all Questions.

Colby Messinger answered 3 months ago

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