A particle of mass 400g is moving under the action of two forces (F_{1} =…
A particle of mass 400g is moving under the action of two forces (F_{1} = (35N, 210°), F_{2}…
Find, from first principles, the derivative of (f(x) = (2x + 3)^{2}). (b) Evaluate…
(a) Find, from first principles, the derivative of (f(x) = (2x + 3)^{2}). (b) Evaluate : (int_{1} ^{2}…
A tyre manufacturing company researched into the life span of one type of their motorcycle…
A tyre manufacturing company researched into the life span of one type of their motorcycle tyres. The results…
Evaluate (frac{^{9}P_{3}}{^{15}C_{3}} + frac{^{5}C_{3}}{^{3}P_{2}}) correct to two decimal places. (b) A committee of 2 tutors…
(a) Evaluate (frac{^{9}P_{3}}{^{15}C_{3}} + frac{^{5}C_{3}}{^{3}P_{2}}) correct to two decimal places. (b) A committee of 2 tutors and 5 pupils…
Write the following as column vectors: (r = (10N, 090°) ; q = (8N,…
(a) Write the following as column vectors: (r = (10N, 090°) ; q = (8N, 135°)). (b) Use…
Solve (2^{(2y + 2)} – 9(2^{y}) = -2).
Solve (2^{(2y + 2)} – 9(2^{y}) = -2). Explanation (2^{(2y + 2)} – 9(2^{y}) = -2) = ((2^{2})(2^{2y})…
If (alpha) and (beta) are the roots of the equation (2x^{2} – 7x + 4…
If (alpha) and (beta) are the roots of the equation (2x^{2} – 7x + 4 = 0), find…
Write down the binomial expansion of ((2 – x)^{5}) in ascending powers of x….
(a) Write down the binomial expansion of ((2 – x)^{5}) in ascending powers of x. (b) Use your…
Find the angle between the vectors (a = begin{pmatrix} -3 \ 4 end{pmatrix}) and…
(a) Find the angle between the vectors (a = begin{pmatrix} -3 \ 4 end{pmatrix}) and (b = begin{pmatrix}…
If (f(x) = 6x^{3} + 13x^{2} + 2x – 5) and (f(-1) = 0), find…
If (f(x) = 6x^{3} + 13x^{2} + 2x – 5) and (f(-1) = 0), find the factors of…