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A light bulb is to be put in the middle of a room defined by the coordinates (10,5), (10,25), (20, 5) and (20,25). At what coordinate should the light bulb be placed?

Firstly we should try to establish the geometry of the room, ie identify the lines in which the walls lay.
Noticing that two of the points have the same x coordinate of x = 10 suggests that there mu...

Answered by Taiwo L. • Maths tutor

2546 Views

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

Differentiation => 4X³ - 20X² + 4XTo find the stationary points, set this differentiation = 04x (x²- 5x +4)4x (x-4)(x-1)x=0, x=4, x=1 are stationary points.
Find ...

Answered by Alice H. • Maths tutor

2834 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''(...

Answered by John D. • Further Mathematics tutor

3601 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 susta...

Answered by Naomi W. • History tutor

2358 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 obse...

Answered by Samuel L. • Maths tutor

3216 Views