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Given that M and N are two sets. Which of the following is the same as (M ∩ N)'?
A body of mass 42 kg increases its speed from 15 ms\(^{-1}\) to 43 ms\(^{-1}\) in 12 seconds. Find the force acting on the body.
A fair dice is thrown twice. Find the probability that the sum obtained will be a factor of 12.
If kx\(^2\) is a term in the binomial expansion of (1 - 2x)\(^4\), find the value of k.
The gradient of the curve y = mx\(^2\) + 3x - 1 at the point (-1, 1) is 9. Find the value of m
If r = i + 2j and n = -i + 3j, find |2n - r|.
Given that p = \(\begin{pmatrix} m + 1 & m - 1 \\ m + 4 & m - 8 \end{pmatrix}\) and |p| = - 34, find the value of m.
If p = \(\begin{pmatrix}2 \\ 4 \end{pmatrix}\) and q = \(\begin{pmatrix} 10 \\ -1 \end{pmatrix}\), find a vector, r such that 2p - 3r = q
Solve 2\(^{2x}\) - 5(2\(^x\)) + 4 = 0
If f(x) = \(\frac{2 - x}{x}\), x ≠ 0, find the inverse of f.
Evaluate: \(\frac{cos^2 300º - 4sin^2 120º}{tan^2 135º}\)
If log\(_2^x\) = 2, evaluate log\(_x^{128}\).
If 5x + 7 \(\equiv\) P(x + 3) + Q(x - 1), find the value of p
If h(x) = x\(^2\) + px + 2 is divided by (x + 3), the remainder is 5, find p
If the n\(^{th}\) term of a linear sequence (A.P) is (5n - 2), find the sum of the first 12 terms of the sequence.
A binary operation * is defined on the set of real numbers, R by x * y = \(\frac{y^2 - x^2}{2xy}\), x, y ≠ 0, where x and y are real numbers. Evaluate -3 * 2
\(\sqrt{x}\) - \(\frac{6}{\sqrt{x}}\) = 1, find the value of x
Given that f: x → \(\sqrt{x}\) and g : x → 25 - x\(^2\), find the value of f o g(3)
If \(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\), find the value of m
Limit of xÎ?3 is 3.