Circles and Ellipses
Double Points!
What is the centre of the ellipse (x+3)2/4 + (y-1)2/9 = 1
(-3, 1)
Give an example of a parabola in real life.
Solve for x: 3 = -|x+4|+6
x = -1, -7
What is the gougu theorem?
a2 + b2 = c2
Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?
The letter R
The x-intercepts of the equation (x-3)2 + (y+1)2 = 9
The Cartesian equation of the parametric equations: x = sec(2t) and y = 2tan(2t)+1
x2 - (y-1)2/4 = 1
5
Solve for x: 2sin(x - pi) + 1 = 0
x = pi/6, 5pi/6
The name of the equipment used in curling? (The stick thing and the ball thing)
Brooms and stones
The Cartesian equation of the following parametric equations: x = 2cos(t) + 3 and y = 5sin(t) - 1
The equation of the asymptotes of the hyperbola: (x-1)2/16 + (y+2)2/9 = 1
y = +- 3/4(x-1) - 2
Who introduced the term module (for modulus)?
A. Jean-Robert Argand
B. Isaac Newton
C. Carl Friedrich Gauss
D. Bernhard Riemann
A. Jean-Robert Argand
Double points!
The asymptotes of the equation y = sec(2x) between 0 and 2pi
x = pi/4, 3pi/4, 5pi/4, 7pi/4
What is one of the factors of the equation x3 + 4x2 + x - 6
(x-1) OR (x+2) OR (x+3)
The polar equation for a circle with radius 4.
r = 4
Double Points!
The equation of the parabola with parametric equations: x=3t and y=t2 + 4
y = x2/9 + 4
Number of x-intercepts for the equation y = |(x-1)2-3| -1
4
Solve for x: sec(2x) + 1 = 0 for 0<x<2pi
x = pi/2, 3pi/2
The solution to 2x2+9x-5=0
x = 1/2, -5
The locus definition of an ellipse.
The sum of the distances between two foci points is equal to a constant.
What is the locus definition of a parabola?
A set of points where the distance between it and a fixed point, the focus, is equidistant to a fixed line, the directrix.
Double Points!
Solve for x: |(x-1)2 - 3| - 2 = 0
x = 0, 2, 1 +- sqrt(5)
The range of the graph y = 2sin-1(x)+3
[3, 3+2pi]
The first woman to fly solo across the Atlantic Ocean?
Amelia Earhart