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Given that dy/dx=6-8x+x^4 and that x=1 when y=4. Find an expression for y in terms of x.

Fristly, we should integrate the whole equation, y=∫ 6-8x+x^4 dx y=6x-4x^2+x^5/5+C Then, subsitituting values to find the C, 4=6 1-4 1^2+1^5/5+C 4=6-4+1/5+C 4=11/5+C So, C=9/5. Hence, y=6x-4x^2+x^5/5+9/5.
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Answered by Paine L. • Maths tutor
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Find dy/dx of 5x^2 + 2y^3 +8 =17.

As we have to differentiate both x and y, we must use implict differentiation for the y by differentiating it with respect to x (also written as d/dx) 5x 2 -> 10x (multiply the power by the number at the ...
AP
Answered by Anish P. • Maths tutor
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Analyse two economic benefits of globalisation. [6]

A country is likely to benefit from higher rates of GDP growth. This is because access to a greater market size means greater export potential for countries like Malawi to exploit their comparative advantage...
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Answered by Anish P. • Economics tutor
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what is a simple test to detect the presence of a carbonyl and to identify it?

A carbonyl is either a ketone or an aldehyde. In order to see whether the carbonyl group is present (C double bond O), 2,4-dinitrophenylhydrazine must be used. If an orange/yellow precipate is formed, then a...
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Answered by Zahra M. • Chemistry tutor
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How do I solve an integration by substitution problem?

I think it’s best I work through an example with you as these problems can vary quite a lot, but the general methods used are the same. Example: Use the substitution u=x 2 +5 to find: The integral of (x 3 /s...
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Answered by Andrew D. • Maths tutor
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