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If Lisa loses 23% of £650, how much has she lost?

Percentages are always out of 100 - imagine the fraction 1/100. If I asked you to work out 1/100 of a number, how would you do it?It's pretty much the same for percentages - because 1% is the same as 1/100. ...
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Answered by Ewaola A. • Maths tutor
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Find f'(x) and f''(x) when f(x) = 3x^2 +7x - 3

We know that when f(x) = x^n, f'(x) = nx^n-1 (1) So we apply this to all components of f(x), giving f'(x) = 2(3x) + 7 = 6x +7 to find f''(x), we apply (1) to f'(x). Giving f''(x) = 6
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Answered by Georgiana P. • Maths tutor
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Find the area bounded by the curve x^2-2x+3 between the limits x=0 and x=1 and the horizontal axis.

In order to find the area bounded by a curve and the horizontal axis, we must integrate the curve between the specified limits. Firstly we must integrate the curve x^2-2x+3. To integrate a polynomial such as...
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Answered by Diljot G. • Maths tutor
5181 Views

Find where the graph of y=3x^2+7x-6 crosses the x axis

At the point where the line crosses the x axis, y=0 3x^2+7x-6=0 (3x-2)(x+3)=0 3x-2=0 or x+3=0 giving x=2/3 and x=-3 so the line crosses the x axis at (2/3,0) and (-3,0)
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Answered by Demi B. • Maths tutor
5226 Views

Differentiate x^2 + y^2 with respect to x

use the chain rule on the y^2 term to get 2y*(dy/dx) hence the overall solution is 2x + 2y*(dy/dx)
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Answered by Ken D. • Maths tutor
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