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y(x) = x^2(1-x)e^-2x , find y'(x) in the form of g(x)e^-2x where g(x) is a cubic function to be found

For this question, I would first expand the brackets in the given y(x) to form , x^2e^-2x -x^3e^-2x . With this form, I would then differeniate using the chain rule to then obtain the expression that can eas...
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Answered by Arjun B. • Maths tutor
4042 Views

A rectangle of perimeter 45cm has sides of length x and x+4. Work out the value of x.

First, draw a diagram to help visualise the problem. Next, write out the full sum: x + x + (x+4) + (x+4) = 45 This simplifies to: 2x + 2(x+4) = 45 Which expands to: 2x + 2x + 8 =45 This simplifies to: 4x + 8...
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Answered by Imogen R. • Maths tutor
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Maltose is hydrolysed by the enzyme maltase. Explain why maltase catalyses only this reaction (3 marks)

The question is three marks, so should have three points.1) Active site of the enzyme has a specific shape / tertiary structure / complementary to maltose 2) Only maltose can bind / fit3) Forms an enzyme-sub...
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Answered by Amy W. • Biology tutor
3242 Views

Define an isotope.

Compounds with the same molecular formula but have different structural formulas.
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Answered by Shivani S. • Chemistry tutor
3302 Views

When dealing with trigonometric functions such as sin, cos or tan, how do you solve the trigonometric equation when the argument of the function(s) is nx, where n is a real number not equal to 1.

In order to solve Trigonometric equations like these, you must consider how the argument of the function changes the period of the graph. There are many methods of solving equations like this, but personally...
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Answered by Joshua M. • Maths tutor
3723 Views