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Given a curve has the equation f'(x) = 18x^2-24x-6 and passes through the point (3,40), use integration to find f(x) giving each answer in its simplest form.

Firstly we need to integrate f(x). The general rule is: the integral of x^n = (1/(n+1))x^(n+1)+CSo apply that rule to each term of f'(x) as so:Integral of 18x^2 = (18/(2+1))x^(2+1) = 6x^3...

HB
Answered by Henry B. Maths tutor
3015 Views

Explain two consequences of the Berlin Blockade

The Berlin Blockade, erected in 1948 as a response to the forming of Bizonia, was Stalin's attempt to keep Germany as a 'Buffer Zone' between Soviet Europe and the Capitalist territories. West Berlin, tha...

MB
Answered by Markus B. History tutor
20702 Views

What is a box-plot diagram?

(In session I would begin by drawing a box-plot diagram and seeing if a student can also covert their data into a box-plot)There are 5 key points to a box-plot. You have the minimum value, lowest quartile...

WW
Answered by Will W. Maths tutor
3198 Views

f(x)= 5 - x and g(x)= 3x + 7. Simplify f(2x) + g(x-1) (2018 past paper question)

If f(x)= 5 - x then f(2x)= 5 - 2x If g(x)= 3x + 7 then g(x-1)= 3(x-1) +7 = 3x - 3 + 7 = 3x +4
So f(2x) + g(x-1) = 5 - 2x + 3x + 4 = 9 + x

JB
Answered by Jess B. Maths tutor
3604 Views

Explain why graphite conducts electricity in terms of structure and bonding.

Graphite has a giant covalent structure where each carbon atom is covalently bonded to three other carbon atoms. Each carbon atom also has one delocalised electron which can flow freely through the struct...

JB
Answered by Jess B. Chemistry tutor
14715 Views

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