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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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What are the comon features of an animal cell and what are there functions?

Cytoplasm: A jelly-like material that contains dissolved nutrients and salts and structures called organelles. It is where many of the chemical reactions happen.Nucleus: Contains genetic material, includi...

Answered by Emily A. • Biology 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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What’s the difference between gerunds and gerundives?

Gerunds are verbal nouns which denote actions, whereas gerundives are verbal adjectives which indicate obligation. They both have the -nd- endings and so can be difficult to distinguish. Gerunds are alway...

Answered by Fergus H. • Latin tutor

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