Basic Functions and Geometry
Equations
Trigonometry
Logarithms and Exponents
Intro to Calculus
100
What is the domain and range for f(x)=x?
domain: (-∞,∞) range: (-∞,∞)
100
Is 5x²-3x+2=0 a quadratic equation?
Yes
100
What is adjacent/hypotenuse?
Cosine
100
log₂(8)=
3
100
What is the derivative of x⁵-3x²+5x+8
5x⁴-6x+5
200
What is the area of a triangle?
A=(1/2)bh
200
What is the quadratic formula?
x=(-b±√ b²-4ac)/2a
200
Convert 60 degrees to radians
π/3
200
log₁₂(1728)=
3
200
Find the slope of the line between the points (0,4) (6,8)
2/3
300
What is the surface area of a sphere with a radius of 2?
SA=16π
300
What is the general form of a linear equation?
Ax+By+c=0
300
What are the sides of a 30-60-90 triangle?
2,1,√3
300
What is the change of base formula?
(ln x/ln a) or (log x/log a)
300
what are 2 ways to write the "derivative of"?
d/dx and f'(x)
400
What is the point where concavity changes called?
The point of inflection
400
Name two ways to solve a quadratic equation.
Factoring, completing the square, or using the quadratic equation
400
What is cos(5π/6)?
√3/2
400
What is the value of (-2)³(3)²
-72
400
What's the difference between an indefinite and a definite integral?
the indefinite integral has no limits, while definite integral does
500
What is the domain and range of f(x)=1/x?
domain: (-∞,0) U (0,∞) range: (-∞,0) U (0,∞)
500
What are the 3 types of solutions you can get from solving a system of equations?
No solution, one solution, infinite solutions
500
What is sec(7π/4)?
√2
500
Simplify: (x²y⁵w³)/(x⁷y²w⁸)
(y³)/(x⁵w²)
500
The word calculus means what in Latin?
Small stone
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