While painting his house one day, Mr. Cabana had a terrible accident! The bottom of the 20-foot ladder he was standing on started to slide away from the wall! a. Draw a diagram of this situation. Then write an equation that relates the sides of that shape in your diagram. b. Mr. Cabana wants to know how fast he is falling when the ladder is 10 feet above the ground. You need to help him solve this problem, but the equation you wrote in part (a) does not involve rates. What Calculus tools can you use to convert the equation in part (a) to a rate equation? c. Explain why the rate the ladder is sliding down the wall must be related to the rate that the foot of the ladder moving along the ground. 十-

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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.