Simplify (^{n + 1}C_{4} – ^{n – 1}C_{4}) = (frac{(n + 1)!}{4! (n – 3)!}…
Simplify (^{n + 1}C_{4} – ^{n – 1}C_{4}) = (frac{(n + 1)!}{4! (n – 3)!} – frac{(n –…
Three forces (-63j , 32.14i + 38.3j) and (14i – 24.25j) act on a body…
Three forces (-63j , 32.14i + 38.3j) and (14i – 24.25j) act on a body of mass 5kg.…
The gradient function of (y = ax^{2} + bx + c) is (8x + 4)….
The gradient function of (y = ax^{2} + bx + c) is (8x + 4). If the function…
Write down the first three terms of the binomial expansion ((1 + ax)^{n}) in ascending…
Write down the first three terms of the binomial expansion ((1 + ax)^{n}) in ascending powers of x.…
The twenty-first term of an Arithmetic Progression is (5frac{1}{2}) and the sum of the first…
The twenty-first term of an Arithmetic Progression is (5frac{1}{2}) and the sum of the first twenty-one terms is…
Express (3x^{2} – 6x + 10) in the form (a(x – b)^{2} + c), where…
Express (3x^{2} – 6x + 10) in the form (a(x – b)^{2} + c), where a, b and…
Two functions g and h are defined on the set R of real numbers by…
Two functions g and h are defined on the set R of real numbers by (g : x…
The displacement S metres of a particle from a fixed point O at time t…
The displacement S metres of a particle from a fixed point O at time t seconds is given…
A particle is under the action of forces (P = (4N, 030°)) and (R =…
A particle is under the action of forces (P = (4N, 030°)) and (R = (10N, 300°)). Find…
Three vectors a, b and c are (begin{pmatrix} 8 \ 3 end{pmatrix}, begin{pmatrix} 6…
(a) Three vectors a, b and c are (begin{pmatrix} 8 \ 3 end{pmatrix}, begin{pmatrix} 6 \ -5 end{pmatrix})…