(A) Draw a Direction Field for the Function $f ( x ) = 9 x ^ { 2 }$

question 193

Essay

(a) Draw a direction field for the function $f ( x ) = 9 x ^ { 2 }$ . Use this direction field to sketch several members of the family of antiderivatives.(b) Compute the general antiderivative for $f ( x ) = 9 x ^ { 2 }$ explicitly and sketch several specific antiderivatives. Compare these results with your sketches from part (a).

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Definitions:

Rate Of Interest

The percent of principal charged by the lender for the use of its money.

Future Value

The value of an investment at a specific date in the future, calculated by applying a rate of interest or return to the principal amount.

Annually

Occurring once every year or relating to a period of one year.

Rate Of Return

The prosperity or setback experienced by an investment over a fixed timeline, posited as a percentage of the investment’s nascent cost.