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If (f(x) = mx^{2} – 6x – 3) and (f'(1) = 12), find the value…

If (f(x) = mx^{2} – 6x – 3) and (f'(1) = 12), find the value of the constant…
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Evaluate (lim limits_{x to 3} frac{x^{2} – 2x – 3}{x – 3})

Evaluate (lim limits_{x to 3} frac{x^{2} – 2x – 3}{x – 3}) A. 4 B. 3 C. 2 D.…
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Calculate in surd form, the value of (tan 15°).

Calculate in surd form, the value of (tan 15°). A. (2 + sqrt{3}) B. (1 + sqrt{3}) C.…
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Two bodies of masses 8 kg and 5 kg travelling in the same direction with…

Two bodies of masses 8 kg and 5 kg travelling in the same direction with speeds x m/s…
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Find the area of the circle whose equation is given as (x^{2} + y^{2} -…

Find the area of the circle whose equation is given as (x^{2} + y^{2} – 4x + 8y…
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Two vectors m and n are defined by (m = 3i + 4j) and (n…

Two vectors m and n are defined by (m = 3i + 4j) and (n = 2i –…
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Given that (log_{2} y^{frac{1}{2}} = log_{5} 125), find the value of y.

Given that (log_{2} y^{frac{1}{2}} = log_{5} 125), find the value of y. A. 16 B. 25 C. 36…
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The tangent to the curve (y = 4x^{3} + kx^{2} – 6x + 4) at…

The tangent to the curve (y = 4x^{3} + kx^{2} – 6x + 4) at the point P(1,…
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Find the fourth term of the binomial expansion of ((x – k)^{5}) in descending powers…

Find the fourth term of the binomial expansion of ((x – k)^{5}) in descending powers of x. A.…
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The binary operation * is defined on the set of R, of real numbers by…

The binary operation * is defined on the set of R, of real numbers by (x * y…
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