Top answers

The equation of a circle is x^2-6x+y^2+4y=12. Complete the square to find the centre and radius of the circle.

When we complete the square, we're looking for an equation that looks like (x-a) 2 + (y-b) 2 = r 2 , where (a,b) is the centre and r is the radius. When we expand brackets using FOIL, the x part is (x 2 -2ax...
HA
Answered by Hubert A. • Maths tutor
5636 Views

differentiate- X^3- 2X^2+3

3-1=2 2X2 = 4 2-1= 1 =3x^2- 4x
RT
Answered by Radhika T. • Maths tutor
4759 Views

A cone has a radius of 2 units and a height of 3 units. Devise a simplified equation to find the volume of the cone.

Vol = 1/3 pi r^2 h r = 2n h = 3n Therefore Vol = 1/3.pi.(2n)^2.3n Vol = 1/3.pi.12n^3 Vol = 4.pi.n^3
TM
Answered by Toby M. • Maths tutor
3414 Views

Given the function f(x) = (x^2)sin(x), find f'(x).

The function f(x) is a product of 2 functions of x, so when we differentiate it, we need to use the product rule. The product rule states that for a function f(x) = g(x)*h(x), f'(x) is given by g(x)*h'(x) + ...
JS
Answered by Jason S. • Maths tutor
10847 Views

A round cake is shared between Abi, Elvira and Tina. The angle cut at the centre of the cake for each piece is that person’s age multiplied by 10. Abi 9 years old and Elvira is 14 years old. How old is Tina?

The cake is in the shape of a circle. How many degrees in a circle? Abi is 9 years old so the angle of her slice is 9 x 10 = 90°, Elvera is 14 years old so her angle is 14 x 10 = 140°. Total angle used so fa...
VS
Answered by Varun S. • Maths tutor
3296 Views