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How do I find the area bounded by the curve y=-x^2+4 and the line y=-x+2?

First sketch the line and the curve on the same axes (I would show this using the whiteboard).Then we want to find the points of intersection so set the two equations equal to each other and rearrange to get...
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Answered by Sarah H. • Maths tutor
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Find the area under the curve y=xsin(x), between the limits x=-pi/2 and x=pi/2.

We are going to need to use integration for this problem as it involves finding an area under a curve. Also notice that y is a product of two functions of x ; x and sin(x). This means in this particular case...
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Answered by Oakley Y. • Maths tutor
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By integrating, find the area between the curve and x axis of y = x*exp(x) between x = 0 and x = 1

The area under a curve is found by integration. Area = integral {x exp(x) dx} with limits 0 and 1 It's necessary to use integration by parts to find this integral as there are two x functions multiplied toge...
Answered by • Maths tutor
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differentiate parametrically y=3t+4 and x=2t^2 +3t-5

first you differentiate both equations giving dy/dt = 3 and dx/dt = 4t+3 dividing dy/dt by dx/dt gives dy/dx and so the answer is 3/(4t+3)
Answered by • Maths tutor
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How to solve pully type questions in mechanics

T=9g/5 ms^-2m=2 kgtime for higest point = 7/2 sec
Answered by • Maths tutor
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