The gradient of a function at any point (x,y) 2x - 6. If the function passes through (1,2), find the function.
A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t\(^2\) + 3t. Find the magnitude of F at time t.
If α and β are roots of x\(^2\) + mx - n = 0, where m and n are constants, form the
| equation | whose | roots | are | 1
α |
and | 1
β |
. |
A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º). Express the force that will keep the particle in equilibrium in the form xi + yj, where x and y are scalars.
Evaluate: lim\(_{x→-2}\) \(\frac{x^3+8}{x+2}\).
