Mat 266 Exam 1 (Ch 5.5, 6.1 - 6.5) Question And Answers Correctly Solved 2025/2026

Partial Fraction Decomposition ax^2+bx+c {Ans: (Ax+B)/(ax^2+bx+c)}cos^2x {Ans: 1/2(1+cos2x)}Simpson's Riemann Sum Rule {Ans: Sn = (delta x)/3 [ f(x0) + 4f(x1) + 2f(x2) + ... + 2f(xn-2) + 4f(xn-1) + f(xn) ]}Partial Fraction Decomposition (ax^2+bx+c)^k {Ans: (Ax+B)/(ax^2+bx+c)^1 + (Ax+B)/(ax^2+bx+c)^2 + ... + (Ax+B)/(ax^2+bx+c)^k}sin^2x+cos^2x {Ans: 1}Partial Fraction Decomposition (ax+b)^k {Ans: A/(ax+b)^1 + A/(ax+b)^2 + ... + A/(ax+b)^k}