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Given that y = 4x^3 – 5/(x^2) , x not equal to 0, find in their simplest form (a) dy/dx, and (b) integral of y with respect to x.

a) When differentiating y, the method with each term is to 'times by the power and minus 1'. In order to apply this, we need every term to consist of a coefficient multiplied by a power of x. To start with w...
IA
Answered by Izzy A. • Maths tutor
9940 Views

Integral of sin^x dx

Use double angle formula to rearrange for cos2x this gives: x/2 + 1/4sin2x + C (constant)
MB
Answered by Martin B. • Maths tutor
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With a reference to a named global ecosystem, assess the global and local value of its goods and services.

This question is taken from the 2014 Edexcel Pearson Specification. We must first address the type of question, it is a 15 marker, and as such warrants extensive depth as this is the largest question one wil...
JH
3351 Views

What is semi-conservative replication of DNA? And why is it important?

Semi-conservative DNA replication involves splitting open the parent cells DNA duplex and exposing both strands. Now these strands are accessible to replication machinery to act as a template, so that the se...
KP
Answered by Katie P. • Biology tutor
38077 Views

What do I do if I can't answer a question in the UKCAT?

The best strategy for dealing with questions you can't answer, or questions that you think will take you a long time to solve, is to guess, flag and move on. This means picking a letter and answering all the...
SC
Answered by Susanna C. • UCAT tutor
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