Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5

If two graphs y = px2 + q and y = 2x2 − 1 intersect at x =2, find the value of p in terms of q

If U = {x : x is an integer and 1 ≤ x ≤ } E1 = {x: x is a multiple of 3} E2 = {x: x is a multiple of 4} and an integer is picked at random from U, find the p...

Given T = { even numbers from 1 to 12 } N = {common factors of 6, 8 and 12} Find T ∩ N

If \(y = x \sin x\), find \(\frac{dy}{dx}\) when \(x = \frac{\pi}{2}\)

Evaluate \( \sin 45^o + \sin 3^o \) in surd form.

What is the next number in the series 2, 1, \( \frac{1}{2} \), \( \frac{1}{4} \)...

If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J

The curved surface area of a cylinder 5cm high is \(110\text{cm}^2\). Find the radius of its base \(\pi = \frac{22}{7}\)