The gradient of point P on the curve \(y = 3x^{2} - x + 3\) is 5. Find the coordinates of P.

An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre of a circle. Calculate the radius of the circle.

The first term of a geometric progression is 350. If the sum to infinity is 250, find the common ratio.

p and q are statements such that \(p \implies q\). Which of the following is a valid conclusion from the implication?

The roots of a quadratic equation are -3 and 1. Find its equation.