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Solve for 0<=θ<π, the equation sin3θ-(sqrt3)cosθ=0 (C2)

Rearrange the equation to give sin3θ=(sqrt3)cos3θ, then divide through by cos3θ to give sin3θ/cos3θ=sqrt3. We know from our trig identities that sinx/cosx=tanx, so our equation now becomes tan3θ=sqrt3. Use y...
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Answered by Becky H. • Maths tutor
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Express 2/P(P-2) in Partial Fractions (C4)

To start off with let 2/P(P-2)=A/P + B/(P-2) making the RHS of the equation one fraction gives : (A(P-2)+B(P))/P(P-2). So now we can compare the numerators (as the denominators are the same): A(P-2)+B(P)=2. ...
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Answered by Becky H. • Maths tutor
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Evaluate the reasons for the collapse of the Provisional Government in November 1917.

To begin, we have to unpack the question. The operative word of the question, evaluate, means you’re going to want to think of a few individual factors and unpack them each individually, probably devoting a ...
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Answered by Niels B. • History tutor
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Explain the differences between primary, secondary and tertiary protein structure.

Primary structure is the order in which what amino acid is bound the other with a peptide bond. This is coded for by the order of codons in a gene. Secondary structure is how the chains on amino acids intera...
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Answered by Hugh S. • Biology tutor
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When blood enters an arteriole, fluid leaks out into the tissues. Explain how most of the fluid is returned to the arteriole.

Blood in an arteriole is under high pressure at the start of the vessel, called hydrostatic pressure, and fluid can leak through its permeable membrane into the surrounding tissues. This leaves blood cells i...
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