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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 8.3, Problem 15PS

Textbook Problem

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For Problems
**(Objectives 1 and 2)**

To determine

**To plot:**

The graph of the ellipse

**Approach:**

The standard form of an equation of an ellipse is

**Calculation:**

Consider the given equation.

Simplify the above equation of the ellipse to obtain the standard form.

The standard form of the given equation is,

Therefore, the center of the given ellipse is

Substitute *x* in equation

Further solve the above result for *y*.

Or,

Intermediate Algebra

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Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. 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The graph...Ch. 8.2 - For Problems 110, answer true or false. The only x...Ch. 8.2 - For Problems 110, answer true or false. The origin...Ch. 8.2 - For Problems 110, answer true or false. The vertex...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 2334, find the centre and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the centre and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - Find the equation of the circle that passes...Ch. 8.2 - Find the equation of the circle that passes...Ch. 8.2 - Find the equation of the circle that passes...Ch. 8.2 - Find the equation of the circle that passes...Ch. 8.2 - What is the graph of x2+y2=4? Explain your answer.Ch. 8.2 - On which axis does the centre of the circle...Ch. 8.2 - Give a step-by-step description of how you would...Ch. 8.2 - Further Investigations The points (x,y) and (y,x)...Ch. 8.2 - Use a graphing calculator to check your graphs for...Ch. 8.2 - Use a graphing calculator to graph the circles in...Ch. 8.3 - For Problems 110, answer true or false. The length...Ch. 8.3 - For Problems 110, answer true or false. The major...Ch. 8.3 - For Problems 110, answer true or false. The axes...Ch. 8.3 - For Problems 110, answer true or false. The...Ch. 8.3 - For Problems 110, answer true or false. The x and...Ch. 8.3 - For Problems 110, answer true or false. The...Ch. 8.3 - For Problems 110, answer true or false. The...Ch. 8.3 - For Problems 110, answer true or false. The...Ch. 8.3 - For Problems 110, answer true or false. The center...Ch. 8.3 - For Problems 110, answer true or false. The center...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - Is the graph of x2+y2=4 the same as the graph of...Ch. 8.3 - Is the graph of x2+y2=0 a circle ? If so, what is...Ch. 8.3 - Is the graph of 4x2+9y2=36 the same as the graph...Ch. 8.3 - What is the graph of x2+2y2=16? Explain your...Ch. 8.3 - Use a graphing calculator to graph the ellipses in...Ch. 8.3 - Use a graphing calculator to check your graphs for...Ch. 8.4 - For Problems 110, answer true or false. The graph...Ch. 8.4 - For Problems 110, answer true or false. The graph...Ch. 8.4 - For Problems 110, answer true or false. Each...Ch. 8.4 - For Problems 110, answer true or false. To find...Ch. 8.4 - For Problem 110, answer true or false. The...Ch. 8.4 - For Problems 110, answer true or false. The...Ch. 8.4 - For Problem 110, answer true or false. The...Ch. 8.4 - For Problems 110, answer true or false. The center...Ch. 8.4 - For Problems 110, answer true or false. The...Ch. 8.4 - For Problem 110, answer true or false. The center...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problem 718, graph each hyperbola. Objective 1...Ch. 8.4 - For Problems 922, find the equation for the...Ch. 8.4 - For Problems 1922, find the equation for the...Ch. 8.4 - For Problems 1922, find the equation for the...Ch. 8.4 - For Problems 1922, find the equation for the...Ch. 8.4 - For Problems 2332, graph each hyperbola.Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - The graph of equations of the form xy=k, where k...Ch. 8.4 - What is the graph of xy=0? Defend your answer.Ch. 8.4 - We have graphed various equations of the form...Ch. 8.4 - Explain the concept of an asymptote.Ch. 8.4 - Explain how asymptotes can be used to help graph...Ch. 8.4 - Are the graphs of x2y2=0 and y2x2=0 identical? Are...Ch. 8.4 - Graphing Calculator Activities To graph the...Ch. 8.4 - Graphing Calculator Activities For each of the...Ch. 8.S - Graph y=(x1)23.Ch. 8.S - Graph y=x26x11.Ch. 8.S - Write the equation of a circle that has its center...Ch. 8.S - Graph x24x+y2+6y+4=0.Ch. 8.S - Graph x2+25y2=25.Ch. 8.S - Graph 9x218x+y22y26=0.Ch. 8.S - Graph x24y2=4.Ch. 8.S - Graph 9x2+36x4y240y100=0.Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 912, write the equation of the circle...Ch. 8.CR - For Problems 912, write the equation of the circle...Ch. 8.CR - For Problems 912, write the equation of the circle...Ch. 8.CR - For Problems 912, write the equation of the circle...Ch. 8.CR - For Problems 1316, find the center and the length...Ch. 8.CR - For Problems 1316, find the center and the length...Ch. 8.CR - For Problems 1316, find the center and the length...Ch. 8.CR - For Problems 1316, find the center and the length...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 3150, graph each equation. 9x2+y2=81Ch. 8.CR - For Problems 3150, graph each equation. 9x2y2=81Ch. 8.CR - For Problems 3150, graph each equation. y=2x2+3Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation. y=2x24x3Ch. 8.CR - For Problems 3150, graph each equation. x2y2=9Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation. x2+y22y8=0Ch. 8.CR - For Problems 3150, graph each equation. y=(x+1)2+5Ch. 8.CR - For Problems 3150, graph each equation. y=12(x3)24Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation. x2+4y2=4Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CT - For Problems 14, find the vertex of each parabola....Ch. 8.CT - For Problems 14, find the vertex of each parabola....Ch. 8.CT - For Problems 14, find the vertex of each parabola....Ch. 8.CT - For Problems 14, find the vertex of each parabola....Ch. 8.CT - For Problems 57, write the equation of the circle...Ch. 8.CT - For Problems 57, write the equation of the circle...Ch. 8.CT - For Problems 57, write the equation of the circle...Ch. 8.CT - Find the length of minor axis of the ellipse...Ch. 8.CT - Find the length of major axis of the ellipse...Ch. 8.CT - Find the length of minor axis of the ellipse...Ch. 8.CT - For Problems 1517, find the equation of the...Ch. 8.CT - For Problems 1517, find the equation of the...Ch. 8.CT - For Problems 1517, find the equation of the...Ch. 8.CT - For Problems 1825, graph each equation. x24y2=16Ch. 8.CT - For Problem 1825 graph each equation. y=x2+4xCh. 8.CT - For Problems 1825, graph each equation....Ch. 8.CT - For Problems 1825 graph each equation. 2x2+3y2=12Ch. 8.CT - For Problem 1825 graph each equation. y=2x2+12x+22Ch. 8.CT - For Problems 1825, graph each equation. 9x2y2=9Ch. 8.CT - For Problems 1825, graph each equation....Ch. 8.CT - For Problems 1825, graph each equation....Ch. 8.CM - For Problems 14, evaluate each algebraic...Ch. 8.CM - For Problems 14, evaluate each algebraic...Ch. 8.CM - For Problems 14, evaluate each algebraic...Ch. 8.CM - For Problems 14, evaluate each algebraic...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 31-54, solve each of the equations....Ch. 8.CM - For Problems 31-54, solve each of the equations....Ch. 8.CM - For Problems 31-54, solve each of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problem 5564, solve inequality and express the...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problem 5564, solve inequality and express the...Ch. 8.CM - For problem 55-64, solve each inequality and...Ch. 8.CM - For problem 55-64, solve each inequality and...Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 71 and 72, find the distance between...Ch. 8.CM - For Problems 71 and 72, find the distance between...Ch. 8.CM - For Problems 73-76, write the equation of a line...Ch. 8.CM - For Problems 73-76, write the equation of a line...Ch. 8.CM - For Problems 73-76, write the equation of a line...Ch. 8.CM - For Problem 73-76, write the equation of a line...Ch. 8.CM - Find the center and the length of a radius of the...Ch. 8.CM - Find the coordinates of the vertex of the...Ch. 8.CM - Find the equations of the asymptotes for the...Ch. 8.CM - Graph the ellipse 25x2+4y2=100Ch. 8.CM - Graph the hyperbola 9x24y2=36Ch. 8.CM - Graph the parabola y=2(x1)2+4Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...

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The sphere graphed at the right has equation:
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(x − 2)2 + (y − 4)2 + (z − 4)2...

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Determine whether each matrix is in row-echelon form, reduced row-echelon form, or neither. [101015000000]

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Find a function whose square plus the square of its derivative is 1.

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