Trigonometry
Which function is the ratio of sin(x) to cos(x)?
Tan(x)
What is the root of the equation x2+2x+1=0
-1
Switch question
What is the name of the function that can be writen in the form f(x)=ax+b?
A linear function
∫(5x-3)dx
5/2(x2)-3x+c
What is the term for a line that a curve approaches infinitely closely but never actually touches?
Asymptote
sin2(59) + cos2(59)
1
How do you prove that a quadratic equation has 2 distinct real roots?
discriminant>0
What is the range of f(x) where f(x)=ln(x)?
All real numbers.
-∞ to ∞
What is the value of ∫₀¹(27x2-16x) dx
1
What is an 11 sided shape called?
"Hendecagon" or "Undecagon"
If the base of a right angled triangle is 3units and the perpendicular is 4 units, what will sin(θ) be where θ is the angle between the hypotenuse and the base?
4/5
How many real roots does the equation x2+2x+2=0 have?
0
If f(x)=2x+3 and g(x)=x^2, what is f(g(2))?
11
Shield
What is the equation of the line when dy/dx=6 at the point (1,9)
y=6x+3
Steal Question
What is the term used for the number "10100"?
Googol
What is the exact value of cosec(30)?
2
Double points
What is the sum of the roots of the equation 3x2-7x+2=0
7/3
What is the inverse function of f(x)=(x/2)+4
f-1(x)=2x-8
What is ∫6x2(x3-1)-1dx?
2ln(x3-1)+c
What term describes infinitely complex patterns that look similar at any scale, like coastlines or snowflakes?
Fractal
What is the maximum value for 5sin(θ)+12cos(θ)?
13
If the roots for the equation x2+5x+3=0 are α and β what is α2+β2
19
Let f(x) be a differentiable function where f(x)=d/dx(f(x)) and f(0)=1. What is f(x)?
f(x)=ex
Solve f(x)=∫(x2+25)-1dx
f(x)=1/5(tan-1(x/5))+c
In matrix algebra, a non-zero vector "v" that satisfies the equation Av = λv for a square matrix A and scalar λ is called an ________.
Eigenvector
Hint