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

Multiply everything through by e x and rearrange so it equals zero you now have e 2x -e x -6=0 It is now similar to a quadratic equation, make the dummy substitution y=e x y=3 or -2 x= ln(3) and ln(-2) does ...
KI
Answered by Kishwar I. • Maths tutor
10853 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 group x, dx and t, dt. 1/x dx = -at...
CL
Answered by Cal L. • Maths tutor
5166 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 function ...
EG
Answered by Elliot G. • Maths tutor
9991 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
CN
Answered by Charlie N. • Maths tutor
4240 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-2x 2 . The solutions to this equation are the values of x where y=0, which is the same as sayi...
HW
Answered by Hannah W. • Maths tutor
8155 Views