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A binary operation, (Delta), is defined on the set of real numbers by (a Delta…

A binary operation, (Delta), is defined on the set of real numbers by (a Delta b = a…
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Evaluate (int_{-2}^{3} (3x^{2} – 2x – 12) mathrm {d} x)

Evaluate (int_{-2}^{3} (3x^{2} – 2x – 12) mathrm {d} x) A. -30 B. -18 C. -6 D. 6…
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If (y = x^{3} – x^{2} – x + 6), find the values of x…

If (y = x^{3} – x^{2} – x + 6), find the values of x at the turning…
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If the midpoint of the line joining (1 – k, -4) and (2, k +…

If the midpoint of the line joining (1 – k, -4) and (2, k + 1) is (-k,…
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A polynomial is defined by (f(x + 1) = x^{3} + px^{2} – 4x +…

A polynomial is defined by (f(x + 1) = x^{3} + px^{2} – 4x + 2), find f(2).…
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The equation of a circle is (3x^{2} + 3y^{2} + 24x – 12y = 15)….

The equation of a circle is (3x^{2} + 3y^{2} + 24x – 12y = 15). Find its radius.…
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If (x + 1) is a factor of the polynomial (x^{3} + px^{2} + x…

If (x + 1) is a factor of the polynomial (x^{3} + px^{2} + x + 6). Find…
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QRS is a triangle such that (overrightarrow{QR} = (3i + 2j)) and (overrightarrow{SR} = (-5i…

QRS is a triangle such that (overrightarrow{QR} = (3i + 2j)) and (overrightarrow{SR} = (-5i + 3j)), find…
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Evaluate (log_{10}(frac{1}{3} + frac{1}{4}) + 2log_{10} 2 + log_{10} (frac{3}{7}))

Evaluate (log_{10}(frac{1}{3} + frac{1}{4}) + 2log_{10} 2 + log_{10} (frac{3}{7})) A. -3 B. 0 C. (frac{5}{6}) D. 1…
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Given that (sin x = frac{-sqrt{3}}{2}) and (cos x > 0), find x.

Given that (sin x = frac{-sqrt{3}}{2}) and (cos x > 0), find x. A. 300° B. 240° C.…
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