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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 =...

LK
Answered by Lokmane K. Maths tutor
5025 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 woul...

LS
Answered by Leah S. English tutor
1443 Views

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 ...

CC
4184 Views

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:70.5142143=71071
...

JF
Answered by Jack F. Maths tutor
5496 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. T...

JP
Answered by Johannes P. German tutor
3690 Views

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