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Find the range of values of x for which \(\frac{(x+2)}{4}\) -\(\frac{2x-3}{3}\) < 4
The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?
Solve for x in the equation x\(^3\) - 5x\(^2\) - x + 5 = 0
If \(y = x^2 - \frac{1}{x}\). find dy/dx
A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?
Evaluate \(\int \sin 3x \mathrm d x\)
The slope of the tangent to the curve y = 3x\(^2\) - 2x + 5 at the point (1, 6) is
Find the derivative of \(y = \sin^{2} (5x)\) with respect to x.
Evaluate: \(\frac{0.21 \times 0.072 \times 0.00054}{0.006 \times 1.68 \times 0.063}\)
Simplify \((\sqrt{0.7} + \sqrt{70})^{2}\)
Simplify 52.4 - 5.7 - 3.45 - 1.75
Without using tables, evaluate \((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{-\frac{1}{2}}\)
Two fair coins are tossed at the same time. what is the probability of getting a head?
The lengths of the sides of a triangle are 15m, 21m, and 28cm. What is the size of the angle facing the side 21m (correct to one decimal place)?
If sin θ = \(\frac{4}{5}\) where 0° ∠ θ ∠ 90º, what is the value of cos θ + tan θ?
Evaluate (\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) - \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)