Algebra
Solve for x: 3^(2x) =
2
Find sin(π/6)
1/2
What is the vertex of y = x² − 4x + 3?
(2, -1)
Find the derivative of: f(x) = x³
3x²
Solve: log₂(x − 1) = 3
9
Solve for x in [0, 2π]: sin(x) = √3/2
x = π/3, 2π/3
Find the domain of: f(x) = 1 / (x − 2)
x ≠ 2
Find the derivative of: f(x) = 4x² − 2x
8x-2
Simplify: (x² − 9) / (x − 3)
x + 3
Simplify: sin²(x) + cos²(x)
1
Evaluate: f(g(x)) if f(x)=x² and g(x)=x+1
(x + 1)²
Find the slope of the tangent line to y = x² at x = 3
6
Solve the system:
x + y = 5
x² + y² = 13
x = 2, y = 3 or x = 3, y = 2
Solve: 2cos²(x) − 1 = 0 in [0, 2π]
x = π/4, 3π/4, 5π/4, 7π/4
Find the inverse of: f(x) = 2x + 5
f⁻¹(x) = (x - 5)/2
Evaluate: ∫(2x) dx
x2+C