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A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.

Area of a circle = π r²

r = (1/2) d = (1/2) * 140 = 70

area         = π * (70)²

                = 4900 π cm²

Answered by Sulem M. Maths tutor
2870 Views

A function is defined parametrically as x = 4 sin(3t), y = 2 cos(3t). Find and simplify d^2 y/dx^2 in terms of t and y.

We first need to find dy/dx and we use the fact that dy/dx = dy/dt * dt/dx. So we have dy/dt = -6sin(3t) and dx/dt = 12cos(3t). Substituing these in we have dy/dx = -6*sin(3t)1/(12cos(3t...

Answered by Barnaby S. Maths tutor
5876 Views

Expand and simplify 2y+3y(5y+3)

Following the laws of BIDMAS, the bracket needs to be multiplied first (instead of adding 2y and 3y first):

2y + 15y2 + 9y

Simplify by addition of the y's...

Answered by Lucy J. Maths tutor
4344 Views

Solve 2x + 4 > 16

This is a simple GCSE inequality question. The aim is to solve the equation for x - get x on its own on the left side of the equation. 

Step 1. We think of equations as balanced weighing scales, so...

Answered by Monique P. Maths tutor
6796 Views

Find the coordinates of the two points where the lines y=x²+4x+6 and y=x+4 meet.

To solve these equations we must make them equal to eachother. This gives us x2+4x+6=x+4, we must then subtract the 'x+4' fro...

Answered by Gaby H. Maths tutor
2842 Views

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