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Differentiate y = x^2 + 3x + 5

y = x² + 3x + 5
dy/dx = 2x + 3

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The co-ordinates of P and Q respectively are (-9,7) and (11,12). M is on the line PQ such that PM:MQ = 2:3. L passes perpendicularly through M. What is the equation of L?

Draw a visual representation of P, Q, M and L.Work out the gradient of PQ to be 1/4.Know that the gradient of 2 lines perpendicular to each other multiplied is -1, therefore the gradient of L = -4. Work o...

Answered by Varun A. • Maths tutor

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Solve the following simultaneous equations: x^2 + y^2 = 12, x - 2y = 3

This is an example of quadratic simultaneous equations. We need to work out the value(s) of x OR y by rearranging one of the equations and then substituting it into the other equation. Once obtaining the ...

Answered by Imama Taiba N. • Maths tutor

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Solve x^2 + 8x + 12 = 0

x = -6 or -2

Answered by Alex M. • Maths tutor

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Jules buys a washing machine. 20% VAT is added to the price of the washing machine. Jules then has to pay a total of £600 What is the price of the washing machine with no VAT added?

In this question we will label the washing machine as x. In order to answer this question we need to understand that the final price of the washing machine (£600) is the price of the machine with...

Answered by Ophelia M. • Maths tutor

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