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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 wit...

IA
Answered by Izzy A. Maths tutor
9740 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
4945 Views

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 ...

JH
3272 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...

KP
Answered by Katie P. Biology tutor
37390 Views

How do I know the difference between Murder and Manslaughter in scenarios?

Firstly, we would need to establish whether the person in question had the mens rea, or a guilty mind. With murder, the mens rea is plain, you need to have intended to kill a person or cause Grievous bodi...

LO
Answered by Lily O. Law tutor
10135 Views

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