1 Graphs and Shapes
What way/direction would a slope=0 line be drawn?
What is horizontal
What are two years that are after the year of the discovery/invention negative powers?
What is after 1545ac
Who is the most known mathmatician?
Who is Pythagoras
What is the formula for the surface area of a cylinder?
What is 2·pi·r·h+2·pi·r^2
What is 5x+12y-7=0 in slope intercept form?
What is y=-5x/12+7/12
What is the difference between these formulas?
1. standard form
2. General form
What is standard=c general=0
1. Ax+By=c
2. Ax+By+c=0
Even numbered indexes of negative roots were invented in this year
What is 1545ac
When was trigonometry invented?
What is 140BC (by Hipparchus)
What is the Point-Slope formula?
Y-Y1=m(x-x1)
The ones are subscripts
LCM of: 5^3 + 16^2 and e^(pi·√-1)
What is undefined (or 0 or imaginary)
LCM must always be positive implying that the LCM of 381 and -1 does not exist
What is this the formula for/of?
xe(-∞,∞)|1<x<20|
What is Domain
This Persian Shia Muslim invented this formula between the years 815-850ac originally to give roots to parabolas:
[-b±(√b^2-4ac)]/2a
Who is Muhammed ibn Musa al-Khwarizmi
Why does the number system exist?
What is number and property manipulation and representation of algebraic structures and figures
What is the value of a radian?
What is 57.9 degrees or 1/[2(pi)]
Factor both or no points added:
1. (x^2+9)
2. (x^2-9)
What is
1. (x-3i) (x+3i)
2. (x+3) (x-3)
What does θ/r= to make a unit circle do half a counter-clockwise rotation?
What is pi
What year was L'Hôpital's rule published?
What is 1696ac.
Guillaume de l'Hôpital (also written l'Hospital) published his rule in his book called "Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes" meaning "Analysis of the Infinitely Small for the Understanding of Curved Lines. This was the first textbook on differential calculus.
How do you define a limit?
What is the limit formula.
Let y = f(x) If at a point x = a then f(x) takes indeterminate form, then values of function can be considered. If values tend to a definite number like how x tends to a, then that unique number is called the limit of f(x) at x = a.
Name both or no points added
1. ax^2+bx+c=0
2. [-b±(√b^2-4ac)]/2a
What is:
1. Quadratic equation
2. Quadratic Formula
DAILY DOUBLE:
Simplify:
1/a^-3 + 8/a · a^5 + 3(b+4) - [3^2 · b^((1/2)4)]
What is 8a^4 + a^3 - 9b^2 + 3b
DAILY DOUBLE:
Each answer gives half of the points (no stealing for other half)
What are the two ways to represent theta in a unit circle?
What is θ/r and re^(iθ)
When did Pythagoras die?
What is 495 BC
What is the purpose of Euler's Gamma Function?
What is correlation of factorials, functions, infinity, integrals, coordinates, and -1
What is Euler's gamma function when it equals -1?
What is
2n=∞ M ∞
[(i·pi)^(∞/2)] / Γ[(∞/2)+1]
Answer both correctly or no points added. Can steal if solve for x is incorrect.
Expand: (2x^2-5)(x+3) - 2x^3 = 0
Then solve for x
What is
2x^3 + 6x^2 - 5x - 15 - 2x^3 = 0 or
6x^2 - 5x - 15 = 0
(5-√385)/12 or (5+√385)/12
1.21845 or 2.05178