Explanation Given information: A statement, “The function defined as f ( x , y ) = x 2 − y has contours which are parabolas.” Consider the given statement, “The function defined as f ( x , y ) = x 2 − y has contours which are parabolas.” Contours are the three-dimensional plotting of curves in two dimensional planes to analyses the functions. The coordinates of the function f ( x , y ) are plotted as ( x , y , f ( x , y ) )

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ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 8, Problem 12SYU

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Whether the statement “The function defined as f(x,y)=x2−y has contours which are parabolas.”is true or false.

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Chapter 8, Problem 11SYU

Chapter 8, Problem 13SYU

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What is the equation of the function for a parabola that moves 2 units to the right of the origin, 2 units up from the origin, and is stretched vertically twice as much as the basic f(x) =x² parabola?

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Whether the statement “The function defined as f ( x , y ) = x 2 − y has contours which are parabolas.”is true or false.

Solution Summary: The author explains whether the statement "The function defined as f(x,y)=x2-y has contours which are parabolas" is true or false.

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Whether the statement “The function defined as f(x,y)=x2−y has contours which are parabolas.”is true or false.

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Chapter 8 Solutions