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Given the function f(x)=ax^2+bx+c, we are given that it has x-intercepts at (0,0) and (8,0) and a tangent with slope=16 at the point x=2. Find the value of a,b, and c.

Firstly, to begin this problem we must think of the best way to substitute the given values into the formula. For a start, we are given the tangent at x=2. In other words, this is equal to the derivative at ...
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Answered by Alejandra A. • Maths tutor
7495 Views

Using the data in Extract A, calculate, to one decimal place, the percentage change in the total net trade balance in goods with the UK’s top five trade partners from February - April 2012 to February–April 2013.

The net trade balance in goods for February–April 2012 is –£9.2bn and for February–April 2013 is –£10.5bn therefore the percentage change is 14.1%.
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Answered by Thomas H. • Economics tutor
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Integral of (cos(x))^2 or (sin(x))^2

When we try to integrate a function of x, we often use reverse chain rule looking for the derivative of our functions with the power on the side of our integral. However, with these two we do not have an ext...
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Answered by Arif U. • Maths tutor
4237 Views

Integrating (e^x)sin(x)

First and foremost, this is an integration of two functions multiplied together and so the first thing that should come to your head is integration by parts from C4. However, when we usually do integration b...
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Answered by Arif U. • Maths tutor
3649 Views

Trigonometry: Find the length of side x on the right-angled triangle.

To answer this question it is best to remember SOH CAH TOA.SOH: sin(angle)=opposite (length of side opposite the angle)/hypotenuse (length).CAH: cos(angle)=adjacent (length of side next to the angle)/hypoten...
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Answered by Molly K. • Maths tutor
6340 Views