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Find the equation of the normal of the curve xy-x^2+xlog(y)=4 at the point (2,1) in the form ax+by+c=0

differentiating: xy'+y-2x+(x/y)y'+log(y)=0rearranging: y'=y(2x-y-log(y))/x(1+y)at (2,1): y'=3/4 so gradient of normal at (2,1) is -4/3so the equation of the normal is y-1=(-4/3)(x-2)which is equivalent to 4x...
SL
Answered by Sam L. • Maths tutor
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Solve the simultaneous equations y = x^2 +3x and y = x+8

Because both of the equations are equal to y, the first thing we do is make them equal to each other:x^2 + 3x= x + 8We then want to rearrange the equation so that everything is on the same side of the equals...
JW
Answered by Jessica W. • Maths tutor
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Explain one benefit of providing induction training for employees (3 marks).

Induction training enables new recruits to learn the business procedures their organisation follows, meaning they will be less likely to make mistakes and become productive employees as quickly as possible.
LW
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Explain and discuss the causes of MSLR (Mean Sea Level Rise)

This question draws on knowledge from the IB Topic : Consequences of Global Climate Change- Sea level section. Tip- Impress your examiner by showing awareness of how the causes of sea level rise are very dif...
JB
Answered by Jordi B. • Geography tutor
2648 Views

Solve the equation 2log (base 3)(x) - log (base 3)(x+4) = 2

First express as a single logarithm as follows. The number in front of the logarithm remembering log rules can be rewritten as the power of the number in the bracketsSo rewriting the LHS log 3 (x 2 ) - log 3...
TS
Answered by Theranjit S. • Maths tutor
9527 Views