MOTA 31POWERS AND POLYNOMIALS 139 96. (a) Use the formula for the area of a circle of radius r A nr2, to find dA/dr. (b) The result from part (a) should look familiar. What does d A/dr represent geometrically? L(c) Use the difference quotient to explain the observa- tion you made in part (b). 97. Show that for any power function f(x) = x", we have f'(1) n. 98. Suppose W is proportional to r. The derivative d/dr is proportional to what power of ? 99. Given a power function of the form f(x) = ax", with f'(2)= 3 and f'(4) = 24, findn and a. 100. (a) Find the value of a making f(x) continuous at 11 x= 1:

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.