Explanation Given information : The quadratic surface x 2 4 − y 2 9 + z 2 9 = − 1 . The general equations of all quadratic surfaces along with the description of their traces is provided below, The standard equation of the sphere is x 2 + y 2 + z 2 = r 2 , where r is the radius of the sphere. The standard equation of ellipsoid is x 2 a 2 + y 2 b 2 + z 2 c 2 = 1 , where a , b and c are constants. Ellipse shaped traces are found in coordinate planes. The standard equation of elliptic paraboloidis z = x 2 a 2 + y 2 b 2 , where a and b are constants. Parabola shaped traces are found in x z and y z coordinate planes. Trace is just a point in x y coordinate plane. z -axis is the axis for the elliptic paraboloid with the equation provided above. The standard equation of hyperbolic paraboloidis z = y 2 b 2 − x 2 a 2 , where a and b are constants. Parabola shaped traces are found in x z and y z coordinate planes. Trace are intersecting lines in x y coordinate plane. The standard equation of hyperboloid of one sheet is x 2 a 2 + y 2 b 2 − z 2 c 2 = 1 , where a , b and c are constants. Hyperbola shaped traces are found in planes parallel to x z and y z coordinate planes. Trace is an ellipse lines in x y coordinate plane. z -axis is the axis for hyperboloid of one sheet with the equation provided above. The standard equation of hyperboloid of two sheets is x 2 a 2 + y 2 b 2 − z 2 c 2 = − 1 , where a , b and c are constants

Student's Solution Manual and Survival Manual for Calculus

6th Edition

ISBN: 9781465241658

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 9.7, Problem 14PS

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Chapter 9.7, Problem 13PS

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12. What is the equation of a quadratic function whose zeros are twice the zeros of y=2x--x-10? а. у-2x2-20х+20 с. у-2x2-2х-5 d. y=2x2-2x-10 b.y=x2-x-20 13. What is the equation of a quadratic function of this table of values? a. y=2x²-4 b. y=x2- 2 c. y=x2-4 d. y=2x²-2 -1 1 y -3 -4 -3 14. What is the turning point of a quadratic function f(x) = (x-5}2+3? а. (-5,3) b. (5,3) с. (3,5) d. (-3,5)

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Chapter 9 Solutions

Student's Solution Manual and Survival Manual for Calculus

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To match: The equation of quadratic surface x 2 4 − y 2 9 + z 2 9 = − 1 with its graph .

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To match: The equation of quadratic surface x24−y29+z29=−1 with its graph.

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