A particle moving on a straight line has displacement given by s(t) = t3 – 9t? + 24t + 20 (a) Find the velocity and acceleration functions. (b) When is the particle moving to the right? When is it moving to the left? (c) Find the total distance traveled in the time interval [0, 3]. (d) When is the particle speeding up? When is it slowing down?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.