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Since the slope of the linear fit is 0.0541 m/s 2 (yes, the slope has units), then the acceleration of this cart would be 0.108 m/s 2. Boom. The Common Student Method ...
Here is that spreadsheet with the same data AND with the SLOPE() and INTERCEPT() function in google docs to show the answer is the same. There. That is the the basic form of linear regression by hand.
Apply the Intermediate Value Theorem to the function \(f(x)=x^6-x-1\) to prove that the given equation has a root greater than 1. Make sure that you justify why the function \(f\) is continuous on its ...