Calculus of a Single Variable: Early Transcendental - download pdf or read online

By Ron Larson, Bruce H. Edwards

ISBN-10: 053873552X

ISBN-13: 9780538735520

The only Variable section of Calculus: Early Transcendental services, 5/e, deals scholars leading edge studying assets. each variation from the 1st to the 5th of Calculus: Early Transcendental features, 5/e has made the mastery of conventional calculus abilities a concern, whereas embracing the easiest good points of recent expertise and, whilst applicable, calculus reform principles.

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Additional resources for Calculus of a Single Variable: Early Transcendental Functions

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General form TECHNOLOGY PITFALL The slope of a line will appear distorted if you use different tick-mark spacing on the x- and y-axes. 21(b) both show the lines given by y ϭ 2x 1 y ϭ Ϫ 2x ϩ 3. and Because these lines have slopes that are negative reciprocals, they must be perpendicular. 21(a), however, the lines don’t appear to be perpendicular because the tick-mark spacing on the x-axis is not the same as that on the y-axis. 21(b), the lines appear perpendicular because the tick-mark spacing on the x-axis is the same as on the y-axis.

Begin by writing the equation in slope-intercept form. 3y ϩ x Ϫ 6 ϭ 0 3y ϭ Ϫx ϩ 6 1 yϭϪ xϩ2 3 Write original equation. Isolate y-term on the left. Slope-intercept form In this form, you can see that the y-intercept is ͑0, 2͒ and the slope is m ϭ Ϫ 13. 18(c). 18 3 x x 1 2 3 (b) m ϭ 0; line is horizontal 1 2 3 4 5 6 (c) m ϭ Ϫ 13 ; line falls ■ 14 Chapter 1 Preparation for Calculus Because the slope of a vertical line is not defined, its equation cannot be written in the slope-intercept form. However, the equation of any line can be written in the general form Ax ϩ By ϩ C ϭ 0 General form of the equation of a line where A and B are not both zero.

3 Functions and Their Graphs 19 Functions and Their Graphs ■ ■ ■ ■ ■ Use function notation to represent and evaluate a function. Find the domain and range of a function. Sketch the graph of a function. Identify different types of transformations of functions. Classify functions and recognize combinations of functions. Functions and Function Notation A relation between two sets X and Y is a set of ordered pairs, each of the form ͑x, y͒, where x is a member of X and y is a member of Y. A function from X to Y is a relation between X and Y having the property that any two ordered pairs with the same x-value also have the same y-value.

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Calculus of a Single Variable: Early Transcendental Functions by Ron Larson, Bruce H. Edwards

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