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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 ...
AA
Answered by Alejandra A. • Maths tutor
7402 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 ext...
AU
Answered by Arif U. • Maths tutor
4103 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...
AU
Answered by Arif U. • Maths tutor
3554 Views

A curve has the equation y=7-2x^5, find dy/dx of this curve

When you differentiate with respect to x, dy/dx, you multiply the number in front of the x by the power of the x then you take one away from the power.So for this example, the 2x 5 differentiates to:(2x5)x (...
EC
Answered by Emily C. • Maths tutor
5226 Views

Write cosx - 3sinx in the form Rcos(x + a)

Rcos(x + a) = Rcosxcosa - Rsinxsina By comparing cosx - 3sinx to the new expression, we can see that: Rsina = 3 and Rcosa = 1 If we square both and add them, we can see R = √(1 2 +(-3) 2 ) [I would explain w...
OG
Answered by Odin G. • Maths tutor
10582 Views