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Evaluate (int_{1}^{2} [frac{x^{3} – 1}{x^{2}}] mathrm {d} x).

Evaluate (int_{1}^{2} [frac{x^{3} – 1}{x^{2}}] mathrm {d} x). A. 0.5 B. 1.0 C. 1.5 D. 2.0 Correct Answer:…
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If (frac{^{8}P_{x}}{^{8}C_{x}} = 6), find the value of x.

If (frac{^{8}P_{x}}{^{8}C_{x}} = 6), find the value of x. A. 1 B. 2 C. 3 D. 6 Correct…
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Given that (log_{3}(x – y) = 1) and (log_{3}(2x + y) = 2), find the…

Given that (log_{3}(x – y) = 1) and (log_{3}(2x + y) = 2), find the value of x.…
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Simplify ((216)^{-frac{2}{3}} times (0.16)^{-frac{3}{2}})

Simplify ((216)^{-frac{2}{3}} times (0.16)^{-frac{3}{2}}) A. (frac{125}{288}) B. (frac{2}{125}) C. (frac{4}{225}) D. (frac{2}{225}) Correct Answer: Option A Explanation ((216)^{-frac{2}{3}}…
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The derivative of a function f with respect to x is given by (f'(x) =…

The derivative of a function f with respect to x is given by (f'(x) = 3x^{2} – frac{4}{x^{5}}).…
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The roots of a quadratic equation are -3 and 1. Find its equation.

The roots of a quadratic equation are -3 and 1. Find its equation. A. (x^{2} – 3x +…
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The first term of a geometric progression is 350. If the sum to infinity is…

The first term of a geometric progression is 350. If the sum to infinity is 250, find the…
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p and q are statements such that (p implies q). Which of the following is…

p and q are statements such that (p implies q). Which of the following is a valid conclusion…
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An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre…

An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre of a circle.…
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The gradient of point P on the curve (y = 3x^{2} – x + 3)…

The gradient of point P on the curve (y = 3x^{2} – x + 3) is 5. Find…
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