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Describe the structures of proteins.

Proteins are made up of the primary structure, secondary structure and tertiary structure. Some proteins may also have a quaternary structure. The primary structure is the specific sequence of amino acids, p...
LO
Answered by Lucy O. • Biology tutor
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Integrate using by parts twice : ∫e^(x)*(cos(x))dx

By putting u=cosx and v’= e^x , use the by parts formula to get:∫e^(x) (cos(x)) dx = cos(x)e^x - ∫-(e^x)sin(x) dx. Use by parts again on the second term to get ∫ =cos(x)e^x + sin(x)e^x - ∫e^(x) (cos(x))dx. T...
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Answered by Isma Z. • Maths tutor
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How far did the lives of black americans change 1930-2000?

The lives of black Americans changed to a great extent in the period mentioned. In the eyes of the law, their lives saw many positive changes. At the beginning of the period, the laws known as 'Jim Crow' wer...
JH
Answered by Jacob H. • History tutor
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Prove by induction that, for all integers n >=1 , ∑(from r=1 to n) r(2r−1)(3r−1)=(n/6)(n+1)(9n^2 -n−2). Assume that 9(k+1)^2 -(k+1)-2=9k^2 +17k+6

First, recall how to construct a proof by simple induction in this manner: (1) Assume statement true for n=k, (2) Prove true for n=k+1, (3) Show true for n=1.(1) => ∑(from r=1 to k) r(2r−1)(3r−1)= (k/6)(k...
TK
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Integrate ((7e^(x/2))/4) with respect to x within the bounds of x=0 and x=2. (Basic introduction to definite integration)

Check to see if anything can be removed from withing the integral and taken out the front. In this case, 7/4 can be taken out the front (as it is not dependent on x), leaving only the term e^(x/2) to be inte...
NM
Answered by Niall M. • Maths tutor
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