Answers

A force 10N acts in the direction 060° and another force 6N acts in the direction 330°. Find…

Given that (r = 3i + 4j) and (t = -5i + 12j), find the acute angle between…

Find the unit vector in the direction of (-2i + 5j). A. (frac{1}{sqrt{29}}(2i + 5j)) B. (frac{1}{sqrt{29}}(-2i +…

A box contains 14 white balls and 6 black balls. Find the probability of first drawing a black…

A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads. A. (frac{1}{8}) B.…

Given that (n = 10) and (sum d^{2} = 20), calculate the Spearman’s rank correlation coefficient. A. 0.121…

Find the variance of 11, 12, 13, 14 and 15. A. 2 B. 3 C. (sqrt{2}) D. 13…

The radius of a circle increases at a rate of 0.5(cms^{-1}). Find the rate of change in the…

Find an expression for y given that (frac{mathrm d y}{mathrm d x} = x^{2}sqrt{x}) A. (frac{1x^{frac{2}{7}}}{7} + c)…

Find the gradient to the normal of the curve (y = x^{3} – x^{2}) at the point where…