Forum

Integers

Encircle the odd one of the following

(a) (–1) × (–1) (b) (–1) × (–1) × (–1)
(c) (–1) × (–1) × (–1) × (–1) (d) (–1) × (–1) × (–1) × (–1) × (–1) × (–1)

Probability – Bayes’ Theorem

A bag contains 4 red and 6 blue balls. A ball is drawn randomly and replaced, and then another ball is drawn. Calculate the probability that the first ball was red given that the second ball drawn is also red.

Calculus – Maxima and Minima

Determine the maximum and minimum values of the function f(x) = x^3 – 6x^2 + 9x + 15 over the interval [0, 3].

Integers

Encircle the odd one of the following

(a) (–100) ÷ 5 (b) (–81) ÷ 9 (c) (–75) ÷ 5 (d) (–32) ÷ 9

Differentiation – Tangent and Normal

Find the equation of the tangent and normal to the curve y = x^3 – 3x + 2 at the point (1, 0).

Integers

Encircle the odd one of the following

(a) (–9) × 5 × 6 × (–3) (b) 9 × (–5) × 6 × (–3)
(c) (–9) × (–5) × (–6) × 3 (d) 9 × (–5) × (–6) × 3

Limits and Continuity – Limit Evaluation

Evaluate the following limit:

lim(x->0) Sin(3x)/x

Integers

Encircle the odd one of the following

(a) (–1, –2) (b) (–5, +2) (c) (–4, +1) (d) (–9, +7)

Integers

Encircle the odd one of the following

(a) (–3, 3) (b) (–5, 5) (c) (–6, 1) (d) (–8, 8)

Integers

For a non-zero integer a which of the following is not defined?
(a) a ÷ 0 (b) 0 ÷ a (c) a ÷ 1 (d) 1 ÷ a