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Maths
A Level

Solve e^x-6e^-x=1

Multiply everything through by ex   and rearrange so it equals zero
you now have e2x -ex-6=0
It is now similar to a quadratic equation, make the dummy substitu...

Answered by Kishwar I. Maths tutor
9786 Views

Consider a differential equation where dx/dt = -axt. Find an equation for x(t).

Starting from dx/dt = -axt.                                We treat dx and dt as infinitessimal factors of x and t, therefore fundemental mathematical operations still apply. Rearranging the equation to g...

Answered by Cal L. Maths tutor
3979 Views

How do you differentiate a function comprised of two functions multiplied together?

The product rule is useful when you’re dealing with a function comprised of two functions multiplied together. Generally, if you have a function of the form y = f(x)g(x), then the derivative of the functi...

Answered by Elliot G. Maths tutor
8012 Views

the graph y = 3/((1-4x)*(1/2)) has a shaded region between x = 0 and x = 2, find area of the region

intergrate y with respect to x between x=0 and x=2. remove 3 from the numerator, take outside intergration intergrate normally answer = 3

Answered by Charlie N. Maths tutor
3366 Views

Find the values of x where the curve y = 8 -4x-2x^2 crosses the x-axis.

A curve crosses the x-axis when y=0, if we put that into the equation above we get the quadratic equation 0=8-4x-2x2. The solutions to this equation are the values of x where y=0, which is the ...

Answered by Hannah W. Maths tutor
6647 Views

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