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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 ...

AA
Answered by Alejandra A. Maths tutor
6740 Views

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 ...

AU
Answered by Arif U. Maths tutor
3550 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 integratio...

AU
Answered by Arif U. Maths tutor
3182 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)/hypo...

MK
Answered by Molly K. Maths tutor
5340 Views

Factorise: 3x^2 - 9x - 30

The first think you can do is look to see if all of your terms can be divided by a common factor. In this case it is 3, leaving you with 3(x^2 - 3x - 10). This can be factorised further to produce somethi...

FN
Answered by Freya N. Maths tutor
6135 Views

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