Ellipses, Hyperbolas and Parabolas : Vertices, Foci, Polar and Parametric Form
Not what you're looking for?
1.Determine the vertices and foci of the graph of x^2 y^2
---- - ---- = 1.
16 35
As an example.
Answer should look like (0, +-4/9) Veertices
(+-2sqrt13, 0) Foci
2. Rotate the axes to eliminate the xy-term.
8x^2+64xy+8y^2+12x+12y+9=0
3. Find the discriminate and classify the graph.
7x^2-9xy+4y^2-4x-4y=0
4. Find the polar form of the equation 6x^2+3xy+6y^2=(-3)
5. A soccer ball is kicked with an initial velocity of 48ft/sec at an angle of 49 dgrees to the horizontal. Which set of parametric equations describes the path of the ball?
a. x=48t sin49degrees; y=48t cos49degrees-16t^2
b. x=48t cos49degrees; y=48t sin49degrees-16t^2
c. x=48t cos49degrees-16t^2; y=48t sin49degrees
d. x=48t sin49degrees-16t^2; y=48t sin49degrees
6. Find the eccentricity of the ellipse: (y-5)^2
(x+6)^2 + ----------- = 1
64
Purchase this Solution
Solution Summary
Vertices, Foci, Polar and Parametric Form and Eccentricity are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
1. Determine the vertices and foci of the graph of x^2 y^2
---- - ---- = 1.
16 35
As an example.
Answer should look like (0, +-4/9) Vertices
(+-2sqrt13, 0) Foci
From the equation, we get , , then . So we have: vertices; foci.
2. Rotate the axes to eliminate the ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Probability Quiz
Some questions on probability
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.