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i) It is given that f(x)=(-5-33x)/((1+x)(1+5x)), express f(x) in the form A/(1+x) + B/(1+5x) where A,B are integers. ii) hence express the integral of f(x) between x=3 and x=0 in the form (p/q)ln4 where p,q are integers.

i) -7/(1+x) + 2/(1+5x) ii) (-31/5)ln4

Answered by Damon T. • Maths tutor

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find the integral of ((3x-2)/(6x^2-8x+3)) with respect to x between x=2 and x=1. (hint use substitution u=denominator)

(ln11)/4

Answered by Damon T. • Maths tutor

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Describe the mechanism(s) as to which an enzyme binds to a substrate.

Two models have been proposed. The first being the 'Lock and Key Model' which simply describes the way in which the active site of an enzyme is complementary to the substrate shape, meaning that only the ...

Answered by Nicole B. • Biology tutor

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Explain how the electron pair repulsion theory can be used to deduce the shape of, and the bond angle in, PF3

Phosphorous has five electrons in its outermost shell of electrons. Fluorine provides three electrons to the phosphorous allowing the formation of a stable central phosphorous atom which now has 8 electro...

Answered by Prashan B. • Chemistry tutor

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Explain the processes that lead to the contraction of a single muscle

A nervous impulse travels to the neuromuscular junction and causes the release of acetylcholine into the synaptic cleft. Depolarisation of the motor end plate spreads through the muscle via transverse tub...

Answered by Prashan B. • Biology tutor

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