University:
University of North Georgia
Course:
MATH 1001 | Quantitative Skills and Reasoning
Academic year:

2021
Views:

457

Pages:

1
Author:

5CelestialChronicle

AP Calculus BC Name: Key 1. Write the integral for arc length. L = ∫[a,b] √(1 + (dy/dx)²) dx 2. What is the Taylor Series for sin x? sin x = x - x³/3! + x⁵/5! - x⁷/7! + ... 3. Write the integral for area inside a polar curve. A = ½ ∫[α,β] r² dθ 4. Write the Taylor Series for any f(x) centered at a. f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)²/2! + f'''(a)(x-a)³/3! + ... 5. What is the MacLaurin Series for e^x? e^x = 1 + x + x²/2! + x³/3! + x⁴/4! + ... 6. Ratio Test: the series Σaₙ converges if... lim(n→∞) |aₙ₊₁/aₙ| < 1 7. Write the integral for parametric arc length. L = ∫[a,b] √((dx/dt)² + (dy/dt)²) dt 8. What is the MacLaurin Series for cos x? cos x = 1 - x²/2! + x⁴/4! - x⁶/6! + ... 9. Write the formula for integration by parts. ∫u dv = uv - ∫v du 10. What does LIPET stand for? Logarithmic Inverse trig Polynomial Exponential Trig