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find the integral of 1+3 root x

now for any integral the method to deal with it is look for the easiest method, things can get trickier later down the line but always start by looking for the easy solution. this example allows us to see...

Answered by Harry D. • Maths tutor

5006 Views

The element of a cone has length L. For what height H (with respect to L) will the volume of the cone be the largest?

This is a good exercise to introduce student to the idea of derivatives and their possible practical use.
Firstly, I should draw the cone and notice that its volume is equal to 1/3piH*R

Answered by Max K. • Maths tutor

4166 Views

Differentiate y=(3x-1)/(2x-1)

First, recognise that the function is a fraction and recall the quotient rule. y=u/v dy/dx=(vu'-uv')/v², where u' and v' is the derivative...

Answered by Martin M. • Maths tutor

7575 Views

let y=6x^-0.5+2x+1, find dy/dx.

dy/dx = -6(0.5)x^-1.5+2

= -3x^-1.5+2

Answered by Rodger L. • Maths tutor

3988 Views

Integrate the following fraction w.r.t. x: (sqrt(x^2 + 1)-sqrt(x^2 - 1))/(sqrt(x^4 - 1))

Notice the denominator can be factorised as the difference of two squares. The fraction can then be simplified by cancellation. The resulting fraction(s) can then be solved using the list of integrals in ...

Answered by Tutor80072 D. • Maths tutor

4440 Views