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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 ...

Answered by Arjun B. • Maths tutor

3850 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
T...

Answered by Imogen R. • Maths tutor

7136 Views

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 maltose2) Only maltose can bind...

Answered by Amy W. • Biology tutor

3047 Views

Define an isotope.

Compounds with the same molecular formula but have different structural formulas.

Answered by Shivani S. • Chemistry tutor

3060 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 persona...

Answered by Joshua M. • Maths tutor

3470 Views