engineering mathematics MCQ #3663

engineering mathematics MCQ #3663

1. Question 1

   Q1. The partial fraction decomposition of x / (x² + 2x + 1) is

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

   Answer: 1/(x + 1) - 1/(x + 1)²

   Explanation: First factor denominator, then apply partial fraction decomposition: x / (x + 1)² = A/(x + 1) + B/(x + 1)².