System of Equations
Calculus
Algebra
Mystery
100
What's the name of this function in the graph?
Parabola/Quadratic
100
Differentiate the following function
f(x)=4x^3-3x^2+3
f'(x)=12x^2-6x
100
expand this expression
(4x-3)^2
16x^2-24x+9
100
What is the name of a line that a graph of a function approaches arbitrarily closely.
For example x=2 for
y=1/(x-2)
Asymptote
200
Which type of function is this?
4x^2+3y^2=25
Circle
200
Integrate the following derivative
dy/dx=6x^3-8x^2+12
y=2x^2-4x+12x+c
200
Fully factorise
3x^2-12x
3x(x-4)
200
Name one of the standards that we are going to learn this year.
Conic sections, Differentiation, Calculus, Complex number
300
Write the quadratic formula on the whiteboard.
x=(-b+-root 2(b^2-4ac))/(2a)
300
Find the gradient of the tangent to this curve when x = 1
y=-3x^2+x-2
m=-5
300
Simplify
(x^2-9)/(x^2+4x+3)
(x-3)/(x+1)
300
Use your device to find out when our exam is going to be?
25th of November
400
How many solutions are there between these two functions.
x^2+y^2=5
y=-2x+5
1 solution
400
The following function has stationary points at x=1 and x=3. What is the nature of these two stationary points?
y=x^3-6x^2+9x
x=-1 is local maximum and x=3 is local minimum
400
Solve
log_3 (x+5)- log_3 (x-1)=1
x=4
400
What does this symbol represent?
ln
Natural Log, Log with a base of e.
500
Find the points of intersection of the lines.
y=2x-1
x^2+y^2=10
(1.8,2.6)and(−1,−3)
500
Find the x-coordinate of the stationary points of the following functions
y=2x^3-3x^2-12x+5
x=-1, x=2
500
Solve
(x+5)/(x-2) + ( x-1)/(x+3) = 3
x= 7 or -5
500
Name one of the person who invented Calculus
Isaac Newton or Gottfried Wilhelm Leibniz