Find the equation of the tangent to curve (frac{x^{2}}{4} + y^{2} = 1) at…
(a) Find the equation of the tangent to curve (frac{x^{2}}{4} + y^{2} = 1) at point (1, frac{sqrt{3}}{2}).…
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If (A = begin{pmatrix} -2 & 5 \ 4 & 3 end{pmatrix}) and (B…
(a) If (A = begin{pmatrix} -2 & 5 \ 4 & 3 end{pmatrix}) and (B = begin{pmatrix} 3…
The images of points (2, -3) and (4, 5) under a linear transformation A are…
The images of points (2, -3) and (4, 5) under a linear transformation A are (3, 4) and…
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…
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 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}…
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})…
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…
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 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…