Use the ratio version of kepler’s third law and the orbital information of mars to determine earth’s distance from the sun. mars’s orbital period is 687 days, and mars’s distance from the sun is 2.279 × 1011 m a. 1.49 × 10^11m b.1.49 × 10^33m c.3.34 × 10^11m d.3.34 × 10^33m

1.49 x 10^11 m
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The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral:    

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