Top answers

Suppose a population of size x experiences growth at a rate of dx/dt = kx where t is time measured in minutes and k is a constant. At t=0, x=xo. If the population doubles in 5 minutes, how much longer does it take for the population to reach triple of Xo.

2.925 minutes This question involves solving a first order differential equation via the separation of variables and then substituting in initial conditions in order to find a particular solution. Something ...
SW
Answered by Scott W. • Maths tutor
3646 Views

Find the x coordinate of the minimum point of the curve y = e3x - 6e2x + 32.

To find the minimum point of this curve you need to differentiate y and set it equal to zero before solving for x. If the questions does not say otherwise give your answer to 3 s.f. dy/dx = 3e^3x -12e^2x = 0...
HW
Answered by Hermione W. • Maths tutor
5354 Views

Differentiate the function f(x) = x^2 * e^2x with respect to x

l e t u = x^2 let v = e^2x du/dx = 2x dv/dx = 2e^2x d/dx = v du/dx + u dv/dx = 2x e^2x + 2x^2 e^2x Therefore d/dx = 2x*e^2x * (1 + x)
ES
Answered by Evan S. • Maths tutor
5085 Views

What is differentiation in mathematics and what does it represent?

Differentiation is the rate of change of one variable with respect to another at a point in time or space. In other words, this can be described as the slope of a curve, which is how much the curve goes up o...
MB
Answered by Marius B. • Maths tutor
3721 Views

Solve the simultaneous equations x + y = 1 , x^2 -2xy+y^2=9

So here we want to eliminate one variable so we are only working with either x or y by themself, so to do this we can rearrange the first equation of x+y=1 to x= 1-y. This new equation can therefore be subst...
BS
Answered by Belinda S. • Maths tutor
8006 Views