ADVANCED ENGINEERING MATHEMATICS
FINAL PAPER TESTED QUESTIONS WITH
VERIFIED ANSWERS COMPLETE STUDY
SHEET
●● vertex x-coordinate
Answer: h = −b / (2a)
●● vertex y-coordinate
Answer: k = f(−b / 2a)
●● sum of cubes
Answer: (a + b)(a² − ab + b²)
●● difference of cubes
Answer: (a − b)(a² + ab + b²)
●● compound interest formula
Answer: A = P(1 + r/n)^(nt)
●● continuous compounding formula
, Answer: A = Pe^(rt)
●● exponential growth/decay formula
Answer: Q = Q₀e^(kt)
●● half-life formula
Answer: T = ln(2) / |k|
●● growth/decay constant from half-life
Answer: k = −ln(2) / T
●● logistic model formula
Answer: P(t) = L / (1 + Ae^(−kt))
●● arithmetic nth term
Answer: aₙ = a₁ + (n − 1)d
●● arithmetic partial sum
Answer: Sₙ = (n/2)(a₁ + aₙ)
●● geometric nth term
Answer: gₙ = g₁ · rⁿ⁻¹
FINAL PAPER TESTED QUESTIONS WITH
VERIFIED ANSWERS COMPLETE STUDY
SHEET
●● vertex x-coordinate
Answer: h = −b / (2a)
●● vertex y-coordinate
Answer: k = f(−b / 2a)
●● sum of cubes
Answer: (a + b)(a² − ab + b²)
●● difference of cubes
Answer: (a − b)(a² + ab + b²)
●● compound interest formula
Answer: A = P(1 + r/n)^(nt)
●● continuous compounding formula
, Answer: A = Pe^(rt)
●● exponential growth/decay formula
Answer: Q = Q₀e^(kt)
●● half-life formula
Answer: T = ln(2) / |k|
●● growth/decay constant from half-life
Answer: k = −ln(2) / T
●● logistic model formula
Answer: P(t) = L / (1 + Ae^(−kt))
●● arithmetic nth term
Answer: aₙ = a₁ + (n − 1)d
●● arithmetic partial sum
Answer: Sₙ = (n/2)(a₁ + aₙ)
●● geometric nth term
Answer: gₙ = g₁ · rⁿ⁻¹
