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find the coordinate of the maximum value of the function f(x) = 9 – (x – 2)^2

Firstly you would start by differentiating the function and equating it to zero as the gradient of the function at the maximum point is zero. to differentiate this function you would use the chain rule si...

SB
Answered by Sruthi B. Maths tutor
3518 Views

Find the general solution to the second order differential equation x'' - 2x' + x = e^(2t).

Firstly, note that the question only asks for the general solution (G.S.) to the equation, not for the whole solution. Now we have established what we need to find, construct the auxiliary equation. For t...

AB
4099 Views

Find the stable points of the following function, determine wether or not they are maxima or minima. y= 5x^3 +9x^2 +3x +2

Start by differentiating the function to find points where the gradient is 0. so dy/dx = 15x^2 + 18x + 3 We can use the equation for finding the roots of a quadratic here, set a=15, b=18 and c=3 and proc...

YC
Answered by Yusuf C. Maths tutor
3802 Views

What is the difference between osmosis and diffusion?

These two processes can often be confused very easily. To begin with both processes are based on the principle of molecules moving from an area of high concentration to an area of lower concentration. Wit...

NT
Answered by Nathan T. Biology tutor
7201 Views

How does muscle contraction work?

So the muscle is made up of 2 muscle filaments, a thick filament called myosin and a thin one actin. This can be remembered by actin having 2 syllables which is less than myosin which has 3 so actin is th...

ST
Answered by Sonam T. Biology tutor
8366 Views

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