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Find the volume and surface area of a cylinder, of length 20cm and radius 5cm.

A diagram is often helpful to draw for questions like this. 1.) Volume. For the volume of a cylinder, you must first find the area of the face, and multiply by the length. The formula for this is Vol= πr^2 ....
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Answered by Cameron L. • Maths tutor
9851 Views

Find dy/dx of the equation y=x^2 ln⁡(2x^2+1).

This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two differe...
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Answered by Cameron L. • Maths tutor
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How can you calculate the distance between 2 points in a grid if they're not on the same horizontal or vertical line?

Recall Pythagoras' theorem. a^2 + b^2 = c^2. Think about this as a triangle, with a and b being the lengths of the 2 perpendicular sides, and c being the length of the hypotenuse. [Drawing on a whiteboard wo...
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Answered by Tom C. • Maths tutor
4804 Views

When integrating, why do we add a constant to the resulting equation?

The +c is to represent the loss in information after differentiation. Remember, integration is just the reverse of differentiation. Say we had this function: f(x) = 2x^2 + 1 And we differentiate: f'(x) = 4x ...
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Answered by Tom C. • Maths tutor
4534 Views

My teacher has marked 'no creo que es asi' as wrong. Why?

When expressing a negated opinion, you need to use the subjunctive. So it should be 'no creo que sea asi'. This applies to many other opinion verbs, like pensar. Remember: Pienso/creo que... use the indicati...
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Answered by Amelia B. • Spanish tutor
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