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‘Odysseus is never made to feel welcome on his travels.’ To what extent do you agree that Odysseus is shown poor hospitality (xenia) in Books 5- 12 of the Odyssey?

In the introduction, I would explain that xenia was an extremely important part of Ancient Greek society and that anyone seen to not be showing good xenia would be considered in defiance of the gods. Then I ...
TD
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How do populations of bacteria develop antibiotic resistance?

There is VARIATION amongst the population due to naturally occuring MUTATION during DNA replication . The antibiotics act as a SELECTION PRESSURE, so only the bacteria with the allele for antibiotic resistan...
LG
Answered by Leila G. • Biology tutor
3386 Views

Find the area under the curve y = sin(2x) + cos(x) between 0 and pi/2

to find the area integrate the function between 0 and pi/2: indefinite integral of y = -1/2 cos(2x) + sin(x) + c ignore c and input boundary conditions: [-1/2 cos(pi) + sin(pi/2)] - [-1/2 cos(0) + sin(0)] = ...
HD
Answered by Harry D. • Maths tutor
8109 Views

Given that y = 4x^5 - 5/(x^2) , x=/=0 , find a)dy/dx b)indefinite integral of y

rewrite as y = 4x^5 - 5x^(-2) dy/dx = 20x^4 + 10x^(-3) integral of y = 4x^6 / 6 + 5x^(-1) / 1 + c simplify: 2/3 x^6 + 5/x
HD
Answered by Harry D. • Maths tutor
3811 Views

Differentiate with respect to x: i) y=x^3ln(2x) ii) y=(x+sin(2x))^3

i) There first step is to acknowledge the need for both product rule (d(uv)/dx=v.du/dx+u.dv/dx) and chain rule (dz/dx=dz/dy*dy/dx). Here, u=x^3 and v=ln(2x). Therefore, du/dx=3x^2 which is a standard differe...
EM
Answered by Edward M. • Maths tutor
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