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Core 1: Given that y = x^4 + x^2+3. Find dy/dx

First what we need to do is we need to think of what the question is asking us to find. In this case it is dy/dx but what is this. This is the rate of change of y with respect to x. For understanding purpose...
DS
Answered by David S. • Maths tutor
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Write x^2 + 8x + 7 in the form (x + a)^2 + b

We work from right to left (x + a) 2 = x 2 + 2ax + a 2 2a = 8 [coefficients of x must match] a = 4 (x + 4) 2 = x 2 + 8x + 16 [substitute in a = 4] x 2 + 8x + 16 + b = x 2 + 8x + 7 [equate sides and solve for...
WM
Answered by Will M. • Maths tutor
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How do I do definite integrals?

A definite integral is an indefinite integral with set limits. If we consider integration as a way of calculating the area under a curve, a definite integral calculates the area under the curve between two p...
CJ
Answered by Charlie J. • Maths tutor
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How does a signal move from one neurone to another and how does this process change for different motor responses?

The transmission of an action potential- the signal- from one neurone to another occurs over the synapse. The structure of a synapse is as follows; there is a presynaptic bulb, a post synaptic bulb and the s...
AH
Answered by Amy H. • Biology tutor
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Compare the ways poets present ideas about the ‘power of humans’ in “Ozymandias’’ and in one other poem from Power and Conflict?

Introduction? Topic Sentence In this essay I will be exploring how the theme of the ‘power of humans’ is presented by Percy Bysshe Shelley and Robert Browning in 'My Last Duchess' which were written in 1818 ...
LR
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