1. Solve the simultaneous solution of the following system using substitution and/or addition method. x+2y+3z=42x+y−z=6x−2y−2z=−3 2. If one side of a triangle is one-third the perimeter, the second side is 7 meters and the third side is one-fifth the perimeter, find the perimeter of the triangle. 3. Use Binomial Theorem to find the expansion of (2x−3y)5. 4. Find the 8at term in the expansion of (2x−y)12. 5. The sum of the first 20 terms of an arithmetic series is 45 . The sum of the first 40 terms of the series is 290. Find the first term and the common difference of the series. Hence, find the seventh term of the series. 6. Find the 9th term and the sum of the first 9th term of the following geometric sequence. 7,−14,28,… 7. Compute the derivative of the following equation. (i) y=(x+1)3(2x−2)2 (ii) y2−4x2y+x=16 8. Find dx2d2y given that y=3x4−5x2+x−2 when x=3. 9. Solve the following definite integral. Use substitution method and give answer up to 4 decimal places. ∫1210x+51dx
