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Find the equation of the tangent to the curve y=x^3-4x^2+2 at the point (3,-7)

y=x 3 -4x 2 +2A tangent to a curve at a specific point along the line will have excatly the same gradient as the curve at that point. For example if the point was (0,0) the tangent would just be a horizontal...
DW
Answered by Daniel W. • Maths tutor
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Factorise 2b^2 + 6b

1 - We first need to find a common factor, something that is the same in both parts of the expression. 2 - Then we need to take this out of the expression by dividing both parts of the expression by the comm...
GA
Answered by Gadah A. • Maths tutor
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A sample of pure gold has a density of 19300 kgm^-3. If the density of a gold nucleus is 1.47x10^17Kgm^-3, discuss what this implies about the structure of the gold atom. [4 marks]

To gain all of the marks, 4 different points must be made. To begin, state what is obvious: The density of the gold nucleus is much greater than the density of the gold atom. The next step is to discuss what...
RL
Answered by Rebecca L. • Physics tutor
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How do I use "Essere" and "Avere" in the perfect tense?

First of all, in Italian the perfect tense has a precise structure: -The auxiliary verb, essere or avere, in his present form (Io ho, tu sei, egli ha) -The past participle, such as "mangiato" or &q...
FP
Answered by Filippo P. • Italian tutor
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How do I structure an essay?

One useful way of structuring an essay is to divide it into sections as follows: Introduction: This should use words from the question and briefly summarise what you will argue/examine/discuss throughout the...
ME
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