Top answers

Differentiate the function X^4 - (20/3)X^3 + 2X^2 + 7. Find the stationary points and classify.

Differentiation => 4X 3 - 20X 2 + 4XTo find the stationary points, set this differentiation = 04x (x 2 - 5x +4)4x (x-4)(x-1)x=0, x=4, x=1 are stationary points. Find the second derivative 12X 2 -40X +4. S...
AH
Answered by Alice H. • Maths tutor
3727 Views

Find the general solution to f''(x)+ 3f'(x)+ 2f(x)=0

Firstly, I haven't seen the notation I used in alevel but I just used it for the sake of ease of typing it online.1st. Sub in the trial solution f(x)= Ae^(mx) and its derivatives- f'(x)= Ame^(mx) and f''(x)=...
JD
4925 Views

Was the decline of the Qing dynasty inevitable?

I would first define the chronological framework for answering the question. For this question, I'd answer in reference to the period from the 1830s - 1911, as the later Qing period from the time of sustaine...
NW
Answered by Naomi W. • History tutor
3284 Views

Find the median, upper and lower quartiles of these numbers: 160, 390, 169, 175, 125, 420, 171, 250, 210, 258, 186, 243

Order the data:125, 160, 169, 171, 175, 186, 210, 243, 250, 258, 390, 420Find middle observation:[125, 160, 169, 171, 175, 186] | [210, 243, 250, 258, 390, 420]Median = (186 + 210)/2 = 198Find middle observa...
SL
Answered by Samuel L. • Maths tutor
4642 Views

A ball is released on a smooth ramp at a distance of 5 metres from the ground. Calculate its speed when it reaches the bottom of the ramp.

The ramp is smooth, so the effects of friction can be ignored. Therefore, the potential energy lost by the ball is equivalent to the kinetic energy gained by the ball. The formula for kinetic energy is 1/2 *...
CB
Answered by Cameron B. • Maths tutor
5338 Views