Mastering Integration
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Questions and Answers

What is the derivative of the function ( f(x) = y ) in terms of the rate of change on the x-axis?

The derivative of the function ( f(x) = y ) is the rate of change on the y-axis when the rate of change on the x-axis is infinitely small.

What is the formula to calculate the distance between two points on a graph?

The formula to calculate the distance between two points on a graph is ( D = \frac{y_2 - y_1}{x_2 - x_1} ) or alternatively ( D = \frac{f(b) - f(a)}{b - a} ) where D is the distance between the initial and final positions.

In the context of the given text, what does the variable ( D ) represent?

In the context of the given text, the variable ( D ) represents the distance between two points on a graph.

What is the equation to calculate the distance between two points on the graph shown in fig.(1)?

<p>The equation to calculate the distance between two points on the graph shown in fig.(1) is ( D = \frac{f(b) - f(a)}{b - a} ) where ( f(x) ) represents the function and ( a ) and ( b ) represent the x-coordinates of the two points.</p> Signup and view all the answers

How can the distance between two points on a graph be expressed in terms of the difference between their y-axis?

<p>The distance between two points on a graph can be expressed as the difference between their y-axis divided by the difference between their x-axis.</p> Signup and view all the answers

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