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Teh points of intersection can be found by subbing in y=2x-1 to the equation of the circle. (x-5)2+(2x-1-3)2=5x2-26x+33=9 so we have 5x2-26x+24=0. Solving the q...
The product rule is used when two functions of x are multiplied by each other, hence, product. So this can be used to differnetiatate 3x2* x+1 or more complex functions like sinxcosx.
Th...
For the first part it would be a good idea to sketch out the graph. Then using the formula 'change in y/change in x' find the gradient of the line (-4/3). You can then either use the formula y=mx+c and pu...
To integrate ln(x) we will have to use integration by parts.
The equation for integration by parts is: (then equation written on the whiteboard).
In the case of ln(x), let v=ln(x) ...
Volume=81 cm3
b=81/2x2
L=4x+4(2x)+ 4(b)
L=4(x)+4(2x)+4(81/2x2)
L=12x+ 162/x2
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