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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...

BS
Answered by Barnaby S. Maths tutor
6033 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...

LJ
Answered by Lucy J. Maths tutor
4490 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...

MP
Answered by Monique P. Maths tutor
6940 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...

GH
Answered by Gaby H. Maths tutor
2934 Views

All tickets for a concert are the same price. Amy and Dan pay £63 altogether for some tickets. Amy pays £24.50 for 7 tickets. How many tickets does Dan buy?

We know that Amy bought 7 tickets for £24.50. This means to find out the price for each ticket, we divide the price for 7 tickets by 7: price per ticket = (24.50/7) = £3.50 Now we can find the total numbe...

SR
Answered by Sravani R. Maths tutor
7768 Views

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