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What is the definite integral of 2x^2 + 4x + 1 with a lower limit of 3 and a higher limit of 6?

When integrating we add one to the power of x and divide the number in front of the x by the new power for each part of the function. So 2x^2 becomes 2/3 x^3, 4x becomes 4/2 x^2, 1 becomes 1/1 x^1. Then we n...
EL
Answered by Ed L. • Maths tutor
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A curve C is defined by the equation sin3y + 3y*e^(-2x) + 2x^2 = 5, find dy/dx

d(sin3y)/dx= 3cos3y*(dy/dx)d(3y e^(-2x))/dx = -6y e^(-2x) + 3(dy/dx) e^(-2x)d(2x^2)/dx = 4xd(5)/dx = 0so3cos3y (dy/dx) - 6y*e^(-2x) + 3(dy/dx) e^(-2x) + 4x = 0rearrange the equationdy/dx = (6y e^(-2x)-4x)/(3...
ZZ
Answered by Zhaohui Z. • Maths tutor
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Based on structure, how is an enzyme's function affected by amino acids?

An enzyme is a type of protein, and proteins are made up of amino acids. The sequence of amino acids determines the shape of the enzyme, which in turns controls which substrates will or won't fit into the ac...
CC
Answered by Chester C. • Biology tutor
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if a^x= b^y = (ab)^(xy) prove that x+y =1

ln(a^x) = ln(b^y) = ln((ab)^(xy)) xln(a) = xyln(ab) ln(a) = yln(ab) = y(ln(a) + ln(b)) y = ln(a)/(ln(a)+ln(b)) with same analysis for ln(b^y): ln(b) = x(ln(a) + ln(b))x = ln(b)/(ln(a)+ln(b)) x + y = (ln(a) +...
SC
Answered by Scott C. • Maths tutor
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Explain what autosomal linkage is

An autosomal linkage is when there are two gene loci found on the same autosomal chromosome, so they are quite likely to be inherited together. Vocabulary:Gene loci: The position of a gene on a chromosomeAut...
YC
Answered by Yasmin C. • Biology tutor
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