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Maths
A Level

Differentiate Y = 4X/(X^2+5) and give dy/dx in its simplest form

4(5-X^2)/(X^2+5)^2

MS
Answered by Mohamed S. Maths tutor
3530 Views

Given that the increase in the volume of a cube is given by dV/dt = t^3 + 5 (cm^3/s). The volume of the cube is initially at 5 cm^3. Find the volume of the cube at time t = 4.

  1. Identify that this is a rate of change question and set up the boundary conditions of V = 5 when t = 02) Take the dt to the right side and explain to integrate both sides of the equation to 'sum ove...
TW
Answered by Tommy W. Maths tutor
3173 Views

How do I solve a simultaneous equation in two variables when they have with different coefficients?

First have a look at the coefficients of each variable. You're trying to spot if the coefficient of one variable is a multiple of the coefficient of the other in the second equation. If so, you can multi...

RW
Answered by Ryan W. Maths tutor
3133 Views

Find the value of (cos(x) + sec(x))^2 with respect to x when evauated between pi/4 and 0

first we have to see if this proble can be done via inspection. The power of two means that this can't be done straight away and the expression does not look like any trig identities.
Expand it.

EC
Answered by Eugene C. Maths tutor
3013 Views

Integrate (sin(x))^6 - Further mathematics (De Moivre's theorem)

Recall that sin(x) = (eix-e-ix)/(2i) and we can rewrite the integrand as {(eix-e-ix)/(2i)}6Factor out {1/(2i)}6, which is -1/64, of the in...

AP
Answered by Akaash P. Maths tutor
5653 Views

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