Show:
Algebra
Trigonometry
Precalc Concepts
Calc Intro
100

Solve for x: 3^(2x) = 


2

100

Find sin(π/6)


1/2

100

What is the vertex of y = x² − 4x + 3?


(2, -1)

100

Find the derivative of: f(x) = x³


3x²

200

Solve: log₂(x − 1) = 3


9

200

Solve for x in [0, 2π]: sin(x) = √3/2


x = π/3, 2π/3

200

Find the domain of: f(x) = 1 / (x − 2)


x ≠ 2

200

Find the derivative of: f(x) = 4x² − 2x


8x-2

300

Simplify: (x² − 9) / (x − 3)


x + 3

300

Simplify: sin²(x) + cos²(x)


1

300

Evaluate: f(g(x)) if f(x)=x² and g(x)=x+1


(x + 1)²

300

Find the slope of the tangent line to y = x² at x = 3


6

400

Solve the system:

x + y = 5

x² + y² = 13


x = 2, y = 3 or x = 3, y = 2

400

Solve: 2cos²(x) − 1 = 0 in [0, 2π]


x = π/4, 3π/4, 5π/4, 7π/4

400

Find the inverse of: f(x) = 2x + 5


f⁻¹(x) = (x - 5)/2

400

Evaluate: ∫(2x) dx


x2+C