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Find the sum of the exponential series (96 + 24 + 6 +…)

Find the sum of the exponential series (96 + 24 + 6 +…) A. 144 B. 128 C.…
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Evaluate (log_{0.25} 8)

Evaluate (log_{0.25} 8) A. (frac{3}{2}) B. (frac{2}{3}) C. (-frac{2}{3}) D. (-frac{3}{2}) Correct Answer: Option D Explanation (log_{0.25} 8…
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Find the equation of the line passing through (0, -1) and parallel to the y-…

Find the equation of the line passing through (0, -1) and parallel to the y- axis. A. y…
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The roots of the equation (2x^{2} + kx + 5 = 0) are (alpha) and…

The roots of the equation (2x^{2} + kx + 5 = 0) are (alpha) and (beta), where k…
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If (f(x) = frac{1}{2 – x}, x neq 2), find (f^{-1}(-frac{1}{2})).

If (f(x) = frac{1}{2 – x}, x neq 2), find (f^{-1}(-frac{1}{2})). A. 4 B. 0 C. -2 D.…
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Find the coefficient of (x^{4}) in the binomial expansion of ((1 – 2x)^{6}).

Find the coefficient of (x^{4}) in the binomial expansion of ((1 – 2x)^{6}). A. 320 B. 240 C.…
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Given that (frac{1}{8^{2y – 3y}} = 2^{y + 2}).

Given that (frac{1}{8^{2y – 3y}} = 2^{y + 2}). A. (frac{1}{5}) B. (frac{7}{8}) C. 1 D. (1frac{1}{5}) Correct…
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Given that ((sqrt{3} – 5sqrt{2})(sqrt{3} + sqrt{2}) = p + qsqrt{6}), find q.

Given that ((sqrt{3} – 5sqrt{2})(sqrt{3} + sqrt{2}) = p + qsqrt{6}), find q. A. 4 B. -4 C.…
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Two functions f and g are defined by (f : x to 3x – 1)…

Two functions f and g are defined by (f : x to 3x – 1) and (g :…
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A binary operation ♦ is defined on the set R, of real numbers by (a ♦ b…

A binary operation ♦ is defined on the set R, of real numbers by (a ♦ b = frac{ab}{4}). Find…
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