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Find dy/dx where y= x^3(sin(x))

To differentiate y, we must used the product rule.The product rule is d/dx [f(x)g(x)] = f'(x)g(x) + g'(x)f(x)So here, we let f(x)= x^3 and g(x)= sin(x)Then, f'(x)= 3x^2 and g'(x) = cos(x)Then substituting th...
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Answered by Kajal C. • Maths tutor
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Find dy/dx when y = x(4x + 1)^1/2

Here we can use the product rule where dy/dx = v du/dx + u dv/dx.We let u = x and v = (4x + 1) 1/2 which means we get du/dx = 1 and by using the chain rule we get dv/dx = 1/2(4x + 1) -1/2 4 which simplifies ...
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Answered by Rebecca N. • Maths tutor
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Name 2 forms of epigenetic modification, and explain the effect they have on the genotype.

Acetylation: addition of an acetyl group to a histone molecule. Forces DNA strands apart, allowing easier access for RNA polymerase for transcription. Therefore increases expression of target gene(s) due to ...
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Answered by Nick G. • Biology tutor
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What is fractional distillation used for in industry? Explain the molecular basis behind it.

Separating different sized hydrocarbons (from crude oil)Different length hydrocarbons have different strength VDW forces between their moleculesTherefore longer length hydrocarbons have stronger VDW forces b...
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Answered by Nick G. • Chemistry tutor
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Describe the chemical composition of phospholipids and how they form cell membranes? (10 marks)

Phospholipids are amphipathic molecules i.e. they have a hydrophilic (“water-loving”), polar head end, and a hydrophobic (“water-fearing”), nonpolar tail end (1 mark). The major phospholipids in most animal ...
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Answered by Akash B. • Biology tutor
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