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Find the gradient at the point (0, ln 2) on the curve with equation e^2y = 5 − e^−x

Question is asking for gradient at x = 0, y = ln2. e^2y = 5 - e^-x. Differentiation with respect to x: 2e^2y * dy/dx = e^-x . dy/dx = e^-x / 2e^2y. At x = 0, y = ln2 ~ dy/dx = e^0 / 2e^2ln2 = 1 / 2e^ln4 = 1 ...
LK
Answered by Lokmane K. • Maths tutor
5653 Views

How should I structure my essay for the best results?

The structure of your essay is as essential to your grade as your argument, without the perfect structure you cannot effectively provide a succinct and convincing argument to the examiner. Firstly, I would a...
LS
Answered by Leah S. • English tutor
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To what extent has state sovereignty been seen as an eroded concept in the 21st century?

State sovereignty refers to what characterises a state's independence, control over their own territory and the ability to govern themselves. The Treaty of Westphalia of 1648 is regarded as the beginning of ...
CC
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1. (a) Find the sum of all the integers between 1 and 1000 which are divisible by 7. (b) Hence, or otherwise, evaluate the sum of (7r+2) from r=1 to r=142

1a) 1000/7=142.8.... Therefore there are 142 multiples of 7 between 1 and 1000 Therefore the sum of series from 1 to 142 is 1/7th of the solution Calculation:7 0.5 142 143=71071 1b) The sum of (7r+2) from r=...
JF
Answered by Jack F. • Maths tutor
6445 Views

Was machst du am liebsten in deiner Freizeit? Folgefragen: Warum macht es dir Spaß? Wo machst du es? Sind andere Leute dabei? etc.

The answer is different for every student - and that is what I like about open questions like this. They are a great starter for a session, but also great to get to know the student and their interests. The ...
JP
Answered by Johannes P. • German tutor
4519 Views