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Which of the Group 7 elements has the highest boiling point and why?

Iodine, because the forces between the iodine molecules are stronger than in the other halogens.

AI
Answered by Amaani I. Chemistry tutor
8820 Views

Find the gradient of the function f(x,y)=x^3 + y^3 -3xy at the point (2,1), given that f(2,1) = 6.

Firstly, establish that the correct method to do this is via differentiation: specifically implicit differentiation. To find the gradient, we need to find dy/dx. The differential with res...

DD
Answered by Daniel D. Maths tutor
5981 Views

If f(x) = sin(2x)/(x^2) find f'(x)

As f(x) is in the form of u(x)/v(x) we can apply the rule that f'(x) = (u'(x)*v(x) - v'(x)*u(x))/(v(x)2), pulled from the C3 formula booklet.
If u(x) = sin(2x) then u'(x) = 2cos(2x).
...

LR
Answered by Leo R. Maths tutor
3813 Views

The function f (x) is defined by f (x) = (1-x)/(1+x), x not equal to -1. Show that f(f (x)) = x. Hence write down f ^-1 (x).

f(f (x) )= f( (1-x)/(1+x) ) = (1-(1-x)/(1+x))/(1+(1-x)/(1+x))where you replace x by (1-x)/(1+x). Multiply the top and bottom of the fraction by (1+x) to get ((1+x)-(1-x))/((1+x)+(1-x)) which simplifies t...

SP
Answered by Sarah P. Maths tutor
12115 Views

What should I focus on when analysing the use of symbolism and imagery in W.B Yeats's 'Wild Swans at Coole'?

When analysing the use of symbolism in a poem, you should search for a central motif, the meaning of which seems to bear more weight that what may be literally construed upon first reading. In the case of...

TM
Answered by Timothy M. English tutor
4487 Views

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