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If a fair coin is tossed four times, what is the probability of obtaining at least one head?…

Given that (AB = begin{pmatrix} 4 \ 3 end{pmatrix}) and (AC = begin{pmatrix} 2 \ -3 end{pmatrix}), find…

Find the angle between ((5i + 3j)) and ((3i – 5j)). A. 180° B. 90° C. 45° D.…

If (Px^{2} + (P+1)x + P = 0) has equal roots, find the values of P. A. (text{-1…

Integrate ((x – frac{1}{x})^{2}) with respect to x. A. (frac{1}{3}(x – frac{1}{x})^{3} + c) B. (frac{x^{3}}{3} – xsqrt{frac{1}{x^{3}}}…

A function is defined by (h : x to 2 – frac{1}{2x – 3}, x neq frac{3}{2}). Find…

Find the derivative of (sqrt[3]{(3x^{3} + 1}) with respect to x. A. (frac{3x}{3(3x^{3} + 1)}) B. (frac{3x^{2}}{sqrt[3]{(3x^{3} +…

If (T = begin{pmatrix} -2 & -5 \ 3 & 8 end{pmatrix}), find (T^{-1}), the inverse of T.…

A box contains 5 red and k blue balls. A ball is selected at random from the box.…

If (frac{x + P}{(x – 1)(x – 3)} = frac{Q}{x – 1} + frac{2}{x – 3}), find the…