Algebra Adventures
Solve: 2x + 5 = 13
x = 4
Find derivative of x²
2x
Area of a rectangle with length 5 and width 3
15
Next term: 2, 4, 6, 8, ___
10
x² − 9 = 0
x = ±3
Find derivative of 3x³
9x²
Area of a circle with radius 2
4π
Next term: 3, 6, 12, 24, ___
48
x² + 5x + 6
(x + 2)(x + 3)
∫ 2x dx
x² + C
Hypotenuse of right triangle with legs 6 and 8
10
Does Σ 1/n converge or diverge?
Diverges
y = 2x + 1
y = x + 4
x = 3, y = 7
Find slope of tangent line to f(x)=x² at x=3
6
Volume of a cube with side length 4
64
Does Σ (1/2)ⁿ converge or diverge?
Converges