Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
27 Cards in this Set
- Front
- Back
|
What is an arithmetic series |
A series with a common difference |
|
|
What is a geometric series |
A series with a common ration |
|
|
How do you find the sum of a arithmetic series |
|
|
|
How do you find the sum of a geometric series |
|
|
What is the sum of |
|
|
What is the sum of |
|
|
|
What must r be in order for a geometric series to have a sum to infinity? |
-1 |
|
|
What is the sum of a geometric series to infinity? |
|
|
What is the sum of |
|
|
|
What is a telescoping series? |
A series that almost every term cancels the one before it |
|
|
What is the formula for n choose r? |
|
|
What is the binomial expansion for |
|
|
|
What is the comparison test? |
|
|
|
What is the radio test? |
|
|
|
Definition of a parabola |
The plane is parallel to the generator |
|
|
Definition of an ellipse |
The plane cuts the double cone with an angle greater than the generator angle. The circle is a degenerate case of an ellipse where the plane is perp to the axis |
|
|
Definition of a hyperbola |
Here the plane cuts the double cone with an angle less than that of the generator angle. Notice here that the plane intersects both of the cones. |
|
|
What does y^2 = 4x look like? |
|
|
|
what does x^2 = 4y look like? |
A smiley face |
|
|
What is the equation of an ellipse with the centre at the origin |
|
|
|
How does the ellipse x^2/4 + y^2/9 = 1 look? |
A circle with centre 1 that stretches to 3 and -3 in the y axis and stretches to 2 and -2 in the x axis |
|
|
What is the equation of a hyperbola with centre at the origin? |
|
|
Sketch: |
|
|
|
What is standard form? |
standard form is when things are not centred at the origin but are centred at x=x0 and y=y0 |
|
|
What is the standard form of a parabola |
|
|
|
What is the standard form of an ellipse |
|
|
|
What is the standard from of hyperbola |
|
