The Difference Quotient is a mathematical expression extensively used in the field of calculus. Its primary purpose is to find out the slope of a secant line that intersects two points on a graph. The formula for computing it is f(x+h) - f(x) / h, where 'f' represents a function and 'h' designates the change in x. This formula is crucial as it provides insight into rates of change and derivatives.
| Topic | Problem | Solution |
|---|---|---|
| None | (1 point) State sales tax $y$ is directly proport… | The problem states that the sales tax $y$ is directly proportional to the retail price $x$. This me… |
| None | If $S T=9, T U=5 x$, and $S U=12 x-12$, what is $… | Given the equations: \(S T=9\), \(T U=5 x\), and \(S U=12 x-12\) |
| None | H5. Express $3.4 \overline{17}=3.4171717 \ldots$ … | Let \(x = 3.4\overline{17}\) |
| None | 9/11 Your car averages 27 miles per gallon in the… | The best mileage the car can get is the average mileage plus the variation. In this case, the avera… |