Telegram group: T.me/BBCNOUN ====== MTH105 ====== 1. The mathematical techniques for finding the optimum mix of products with limited resources is called? --->> Linear programming Minimization programming Maximization programming Optimal programming 2. To obtain the determinant of a matrix, one of the following must be satisfied The adjoint must exist The inverse must exist Must be a symmetry matrix --->> Must be a square matrix 3. If the conjunction of the premises implies the conclusion, then the argument is? Tautology Invalid Contradiction --->> Valid 4. Find the area bounded by the parabola \(y=8+2x-x^2\) and the x-axis. 16 square units 63 square units --->> 36 square units 61 square units 5. Which of the following is not a type of vectors Free vector Time and relation vector --->> Angular vector Position vector 6. The cosines of the angles between the vector and the axes is called? Vector cosines --->> Direction Cosines Cosines angle Axes angle 7. Determine the sum of vectors \(\bar{CD}+\bar{DA}\) --->> \(\bar{CA}\) \(\bar{DD}\) \(\bar{AC}\) \(\bar{CD}\) 8. Obtain the equation of the line through (2, -4) and perpendicular to the line \(5x+3y-8=0\) \(5x-3y+26=0\) \(5x-3y-26=0\) \(3x+5y+26=0\) --->> \(3x-5y-26=0\) 9. Determine the vector product \(i\times i\) --->> \(0\) \(-i\) \(j\) \(k\) 10. When premises are conjuncted to give another statement then……..is formed Tautology --->> Argument Contradiction Valid