Terence is thrown from a point above the ground. The height at ground level is given by the equation h = -4t2 + 24t, where h is the height in meters and t is the time in seconds. What is the maximum height he can reach? How long he will take to reach the maximum height?

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A: h(t) = -3t2 + 24 tdhdt = -6t + 24 ⇒  -6t + 24 = 0             t = 4 sec

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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.