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P and Q are the points (3, 1) and (7, 4) respectively. Find the unit…

P and Q are the points (3, 1) and (7, 4) respectively. Find the unit vector along PQ.…
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Two out of ten tickets on sale for a raffle draw are winning tickets. If…

Two out of ten tickets on sale for a raffle draw are winning tickets. If a guest bought…
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Find the upper quartile of the following scores: 41, 29, 17, 2, 12, 33, 45,…

Find the upper quartile of the following scores: 41, 29, 17, 2, 12, 33, 45, 18, 43 and…
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Given that (P = begin{pmatrix} 3 & 4 \ 2 & x end{pmatrix}; Q =…

Given that (P = begin{pmatrix} 3 & 4 \ 2 & x end{pmatrix}; Q = begin{pmatrix} 1 &…
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If (2sin^{2}theta = 1 + cos theta, 0° leq theta leq 90°), find (theta).

If (2sin^{2}theta = 1 + cos theta, 0° leq theta leq 90°), find (theta). A. 30° B. 45°…
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If (s = 3i – j) and (t = 2i + 3j), find ((t -…

If (s = 3i – j) and (t = 2i + 3j), find ((t – 3s).(t + 3s)).…
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A particle is acted upon by two forces 6N and 3N inclined at an angle…

A particle is acted upon by two forces 6N and 3N inclined at an angle of 120° to…
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The equation of a circle is (x^{2} + y^{2} – 8x + 9y + 15…

The equation of a circle is (x^{2} + y^{2} – 8x + 9y + 15 = 0). Find…
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Two bodies of masses 3kg and 5kg moving with velocities 2 m/s and V m/s…

Two bodies of masses 3kg and 5kg moving with velocities 2 m/s and V m/s respectively in opposite…
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Express (frac{x^{2} + x + 4}{(1 – x)(x^{2} + 1)}) in partial fractions.

Express (frac{x^{2} + x + 4}{(1 – x)(x^{2} + 1)}) in partial fractions. A. (frac{x^{2}}{x^{2} + 1} +…
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