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A Block of mass 2kg is on an a smooth inclined plane where sin@ = 3/5 at point A. Point B is 5 meters down the incline. Find the time it will take for the block to reach point given it is at rest at point A.

So to start with draw a free body diagram of a block on the slope at point A with the forces acting on it which will be the downward force of mass x g (2g) due to gravity and the reaction force 2gcos@. There...
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Answered by Harry S. • Maths tutor
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Why is the definite integral between negative limits of a function with positive values negative even though the area bound by the x-axis is positive? for example the integral of y=x^2 between x=-2 and x=-1

Referring back to the definition of an integral, it is the sum of small elements on the x-axis (dx) multiplied by the value of the function at that point (y) commonly expressed as the sum of ydx. Since x is ...
Answered by • Maths tutor
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What is Differentiation?

Differentiation is finding the derivative of an equation. The easiest way to understand it is to look at examples and then practice on more complex questions. These for examples show the three basic principl...
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Answered by Zoé M. • Maths tutor
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How do I differentiate a pair of parametric equations?

I would guide the student through the process, as this will be far more beneficial to their learning rather than just telling them the answer. So first I'd ask what would happen if they differentiated them i...
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Answered by Benjamin E. • Maths tutor
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Prove algebraically that n^3 +3n -1 is odd for all positive integers n

There are 2 possible cases. First when n is even, then let n = 2k where k is a positive integer. Substituting n = 2k gives us: (2k) 3 + 3(2k) -1 = 8k 3 + 6k - 1 [We are trying to prove that it is odd so try ...
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