Find the coordinates of the centre of the circle 3x\(^2\) + 3y\(^2\) - 6x + 9y - 5 = 0
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2019
Find the coefficient of the term in the binomial expansion of [2x + \(\frac{3y}{4}\)]\(^3\) in descending powers of x.
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2019
Given that P and Q arenon-empty subsets of the universal set, U. Find P \(\cap\) (Q U Q).
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2019
Solve, correct to three significant figures, (0.3)\(^x\) =(0,5)\(^8\)
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2019
A 35 N force acts on a body of mass 5 kg for 2 seconds. Calculate the change in momentum of the body.
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2019
Which of these inequalities is represented by the shaded portion of the graph?
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2019
Find the constant term in thebinomial expansion of (2x\(^2\) +\(\frac{1}{x^2}\))\(^4\)
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2019
A particle starts from rest and movesin a straight line such that its velocity, V ms\(^{-1}\), at time t secondis given by V = 3t\(^2\) - 6t. Calculate the acceleration in the 3rd second.
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2019
A particle starts from rest and movesin a straight line such that its velocity, V ms\(^{-1}\), at time t secondis given by V = 3t\(^2\) - 6t. Calculate the acceleration in the 3rd second.
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2019
Calculate the mean deviation of 5, 8, 2, 9 and 6
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2019
If the mean of 2, 5, (x + 1), (x + 2), 7 and 9 is 6, find the median.
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2019
Find the coordinates of the point in the curve y = 3x\(^2\) - 2x - 5 where the tangent is parallel to the line y = - 5 = 8x
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2019
Point X and Y are on the same horizontal base as the foot of a building such that X is 96m due east of the building and Y is due west. If the angle of elevation of the top of that building from X is 30\(^o\) and that of…
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2019
The second and fourth terms of an exponential sequence (G.P) are \(\frac{2}{9}\) and \(\frac{8}{81}\) respectively. Find the sixth term of the sequence
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2019
If P = \(\begin {pmatrix} 2 & 3\\-4 &1 \end {pmatrix}\), Q = \(\begin{pmatrix} 6 \\ 8 \end {pmatrix}\) and PQ = k \(\begin {pmatrix} 45\\-20 \end {pmatrix}\). Find the value of k.
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2019
Calculate the distance between points (-2, -5) and (-1, 3)
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2019
Find the value of x for which 6\(\sqrt{4x^2 + 1}\) = 13x, where x > 0
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2019
Find the sum of the first 20 terms of the sequence -7-3, 1, ......
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2019
Given that \(\frac{1}{x^2 - 4} = \frac{p}{(x + 2)} + \frac{Q}{(x - 2})\)x \(\neq \pm 2\)Find the value of (P + Q)