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Find the area under the curve of y=1/(3x-2)^0.5 between the limits x=1 and x=2 and the line y=0

This question requires integration since the area under the curve is equal to the integral between these bounds. Initially let u=3x-2 and differentiate with respect to x so then du/dx = 3. Rearrange to dx =d...
CT
Answered by Callum T. • Maths tutor
3726 Views

STEP 2 - 2018, Q6i): Find all pairs of positive integers (n, p), where p is a prime number, that satisfy n! + 5 = p .

The key observation here is that all numbers below n, by definition, divide n!=nx(n-1)x(n-2)x...x1.So in particular, if n greater or equal to 5, 5 divides n!, and thus is divides n!+5.Hence, if n!+5=p and n ...
MV
Answered by Marios V. • STEP tutor
2392 Views

How do you revise for the ELAT when you don't have any texts to prepare with?

The important thing to remember about the ELAT is that it is not designed to test your memory of knowledge of texts, but instead to test your aptitude and close reading skills , and most importantly, your ab...
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Answered by Megan W. • ELAT tutor
1577 Views

What did Sylvia Plath mean when she wrote: 'I took a deep breath and listened to the old brag of my heart. I am, I am, I am'?

(This question is intended for the first session with students. After, the questions will be tailored to the texts they are studying, to focus on specific themes and contextual backgrounds. This exercise how...
EL
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Compare and contrast the ways in which Fitzgerald and Steinbeck present the American Dream in 'The Great Gatsby' and 'The Grapes of Wrath' respectively

The notion of the American dream has been one engrained in the collective American psyche since the 'Declaration of Independence' of 1776. Here, Jefferson stated that 'all Men are created equal, that they ar...
CC
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