Trigonometry
[0, 2pi]
What is the period of sinx?
OR
What is the period of cosx?
1/6
What is the probability of any number on a fair die?
Factorisation, Quadratic Formula, Completing the Square
What are the three methods to solve a quadratic equation?
When f''(x) > 0
How do you find concave up?
d/dx
What does "with respect to x" mean?
Positive in the 1st and 4th quadrant
What quadrants is cosx positive within for angle x?
99.7% Approx
According to the Empirical Rule, what percentage of normally-distributed results lay between the z-scores of 3 and -3?
blackpenredpen
Eddie Woo
Two youtube channels Mr Ellison has recommended for Maths?
F(x)
What is the notation of the primative function?
ln|f(x)| + c
What is the integral of f'(x)/f(x) dx?
1 + cot2x = cosec2x
What is sin2x +cos2x = 1 all divided by sin2x?
Cumulative Distribution Function
What is a Probability Distribution Function's integral?
BAP
How do you interchange an exponential and a logarithm?
One to Many
Many to Many
Circle
What is a type of Relation?
F(x) = e2x
What is the integral of f(x) = 1/2e2x
pi/2 , 3pi/2, 5pi/2 etc
They cannot occur at the same time.
What does it mean when two or more events are mutually exclusive?
Wednesday 8am
Thursday 8am Band 6
What are the times that Mr Ellison does tutoring in school?
dx2/dt2 (Acceleration)
What is the second derivative of distance/displacement?
OR
What is the derivative of speed/velocity?
f'(x)sec2f(x)
What is the derivative of tanx?
cos C = (a2 +b2 - c2)/2ab
a/sinA = b/sinB = c/sinC
What are the equations for both sine sausages and cos cones?
No points awarded if the answer provided doesn't call them sausages and cones
E(X2) - mu2
How do you find Var(X)?
Happy Frog
Hint: It's within the room
What is the name of the Funko Pop in Mr Ellison's room?
What is an example composite function?
f'(x) = 5x4 + 3x2/4 + 17/3
Hint: find the original function
What is the derivative of f(x) = x5+1/4x3 + 17/3x + c?