engineering mathematics MCQ #3705

engineering mathematics MCQ #3705

1. Question 1

   Q1. The partial fraction decomposition of 1 / (x + 1)(x + 3) is

   • A) 1 / 2(x + 1) - 1 / 2(x + 3)
   • B) 1 / 2(x + 3) - 1 / 2(x + 1)
   • C) 1 / 2(x + 1) + 1 / 2(x + 3)
   • D) -1 / 2(x + 1) + 1 / 2(x + 3)

   Answer: 1 / 2(x + 1) - 1 / 2(x + 3)

   Explanation: Decomposing 1 / (x + 1)(x + 3) into partial fractions, we get 1 / 2(x + 1) - 1 / 2(x + 3).