Why do the outer planets in the solar system have much longer year lengths than the inner planets?
a) the outer planets are bigger than the inner planets.
b) the outer planets spin much faster than the inner planets.
c) the outer planets have longer day lengths than the inner planets.
d) the outer planets have longer orbital paths than the inner planets.

D) The outer planets have longer orbital paths than the inner planets. 

The answer is D because the have a longer way to travel around the sun so it takes longer to get around

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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: