Find the dimensions of a rectangle of greatest area which...
Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.
square of sides p
square of sides 2p
square of sides (p/2)
square of sides (p/4)
Correct answer is D
Let the rectangle be a square of sides p/4.
So that perimeter of square = 4p
4 x (p/4) = p.
Simplify: \(\frac{2x^2 - 5x - 12}{4x^2 - 9}\)...
Find the matrix A A \(\begin {bmatrix} 0 & 1\\2 & -1 \end {bmatrix}\) = \(\begin {bmat...
Find the roots of x\(^3\) - 2x\(^2\) - 5x + 6 = 0...
The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is ...
Factorize 2y2 - 15xy + 18x2...
Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28...
An arc of circle of radius 2cm subtends an angle of 60º at the centre. Find the area of th...