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Differentiate the following equation: f(x) = 5x^3 + 6x^2 - 12x + 4

Answer: f'(x) = 15x^2 + 12x -12 This is according to basic rules of differentiation and is a beginner level differentiation question as following:If f(x) = ax^nThen f'(x) = x(nx^n-1)
HK
Answered by Holly K. • Maths tutor
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Explain, in terms of particles, why the rate decreases during the reaction between magnesium and hydrochloric acid.

There are 2 ideas that need to be included here :The concentration of acid decreases over time So collisions are less frequentAs the reaction proceeds more and more molecules would have collided successfully...
SM
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Give two reasons why the ratio decidendi of a case is sometimes difficult to determine. Use case law to illustrate your reasons. (4 Marks)

First, judgments are often written in a complex, discursive fashion. It can be difficult to determine the main point that a judge is trying to make. In Woollin, it is unclear from the leading judgement wheth...
TH
Answered by Tom H. • Law tutor
5998 Views

Differentiate 5x^3 + 4x^2 + 5x + 9

Differentiate 5x 3 + 4x 2 + 5x + 9The rules from polynomial differentiation: d(ax n ) / dx= a(nx n-1 ) and df/dx + dg/dx = d (f+g) /dx and dn/dx = 0Using these rules in conjunction we get : 5(3x 3-1 ) + 4(2x...
AS
Answered by Annabelle S. • Maths tutor
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Describe how the opening of Stravinsky’s 'Symphony of Psalms Movement III' sets a religious atmosphere within a secular symphonic genre

Stravinsky was commissioned to compose Symphony of Psalms by Serge Koussevitsky for the 50 th anniversary of the Boston Symphony Orchestra (1930). Although adhering to the formal design of a secular genre (t...
PP
Answered by Phoebe P. • Music tutor
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