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A curve has equation y= e^x -5x, Find the coordinates of the stationary point and show it is a minimum point

differentiating e x gives e x (need to know this), differentiating -5x gives -5 (step the power of the x down by 1 and multiply the original power with the coefficient, power of the x was 1 so becomes 0, x 0...
JC
Answered by James C. • Maths tutor
9288 Views

write log2(5) +log2​​​​​​​(3) in its simplest form

This is an exapmle of the addition rule as part of the logorithm syllabus. The general rule is log a b + log a c = log a (b*c) When the base of the logarithm is the same and they are added the to numbers of ...
NP
Answered by Nicole P. • Maths tutor
12920 Views

Simplify 3(x-5)/x^2-3x-10

The question is asking us to simplify; in particular, we have to simplify a fraction. We simplify a fraction by cancelling a factor from both the numerator and the denominator. We can apply this algebraicall...
NB
Answered by Nathan B. • Maths tutor
5794 Views

How do I find the angle between a vector and a plane in cartesian form?

First of all, you should find the angle between the vector and the normal of the plane using the rule cosX= a . b /mod a mod b . The normal can be found easily from the cartesian equation of the plane. For e...
ES
Answered by Esme S. • Maths tutor
4871 Views

How do we work out the asymptotes of the graph y=1/x -5

In most core 1 papers this kind of question is usually asked. First of all an asymptote is a line that is close to an axis but never touches it. Now look at the graph as a normal reciprocal graph of y=1/x th...
AB
Answered by Aniqah B. • Maths tutor
9946 Views