Math_112_Fall_2010.jkovalsky.Lesson_07_-_Three_Interesting_Curves

Math_112_Fall_2010.jkovalsky.Lesson_07_-_Three_Interesting_Curves

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Unformatted text preview: JORDAN KOVALSKY Math - 112 Spring 2010 WeBWorK Assignment Lesson 07 - Three Interesting Curves Due Date: 09/22/2010 at 11:59pm CDT. The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making some kind of mistake. You can use the Feedback button on each problem page to send e-mail to the course instructors. 1. (1 pt) Specify the center and radius of the circle (x - 5)2 + (y - 8)2 = 196. Center = ( , ) Radius = Does the point (12, 1) lie on the circle? ? If there is more than one y coordinate where the circle intersects the y axis, separate them with commas. If there are no y intercepts, enter "NONE". y coordinate(s) = Correct Answers: 5 -1 3 NONE Correct Answers: 5 8 14 No 4. (1 pt) Determine the center and the radius for the following circle. Also, find the y coordinate(s) of the points (if any) where the circle intersects the y axis. 2. (1 pt) Specify the center and radius of the circle (x + 2)2 + (y + 5)2 = 26. Center = ( , ) Radius = Does the point (-1, 1) lie on the circle? ? Correct Answers: -2 -5 sqrt(26) No Center = ( , ) Radius = If there is more than one y coordinate where the circle intersects the y axis, separate them with commas. If there are no y intercepts, enter "NONE". y coordinate(s) = 4x2 - 4x + 4y2 - 99 = 0 Correct Answers: 1/2 0 5 4.97494, -4.97494 3. (1 pt) Determine the center and the radius for the following circle. Also, find the y coordinate(s) of the points (if any) where the circle intersects the y axis. Center = ( Radius = x2 + y2 - 10x + 2y + 17 = 0 , ) 5. (1 pt) Use the distance formula to find the equation of the parabola whose focus is located at (0, 6) and whose directrix is the line y = -6. Solve for y. y= Correct Answers: 0.0416667*x^2 1 6. (1 pt) Use the distance formula to find the equation of the parabola whose focus is located at (-2, 2) and whose directrix is the line y = -4. Solve for y. y= Correct Answers: [x-(-2)]^2/12+(-1) Do this by first using the distance formula and simplifying. The equation should reduce to look like x2 y2 + =1 ? ?? Input the values of ? and ?? . ? = ?? = Correct Answers: 4 3 7. (1 pt) Find an equation for the ellipse having foci F1 = (1, 0) and F2 = (-1, 0), and if (x, y) is a point on the ellipse, then the sum of the distances from F1 to (x, y) and from F2 to (x, y) is 4. c Generated by the WeBWorK system WeBWorK Team, Department of Mathematics, University of Rochester 2 ...
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