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Given sinhx = 0.5(e^x - e^-x), express its inverse, arcsinhx in terms of x.

The first step is to write sinhx in its exponential form and set it equal to y, this will make rearranging easier. Then multiply everything by e^x and rearrange to form a quadratic, in terms of e^x. Express ...
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Solve these simultaneous questions: 2y+x =8 and y-2x = -1.

x = 2 y = 3
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Answered by Celine L. • Maths tutor
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A buffer was made by mixing 20cm3 of 0.05M NaOH and 20cm3 of 0.25M propanoic acid. Calculate the pH. Ka=1.34x10^-5

pH is calculated using the equation pH=-log[H+]. The concentration of H+ ions, therefore, needs to be calculated. The amount of each substance can be calculated by multiplying the concentration by the volume...
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Answered by Michael C. • Chemistry tutor
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What is the Oxford Comma?

It's a hot and heavy controversy in the grammar world! Basically, an Oxford comma is a type of serial comma - which is a comma that separates things in a list. The Oxford comma comes specifically before the ...
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Answered by Elizabeth P. • English tutor
4873 Views

How do you solve the simultaneous equations 3x+y=5 and x-y=3?

The aim of this question is to find x and y by combining these two equations. There are two ways of solving simultaneous equations, elimination and substitution. Elimination can only be used when there are n...
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Answered by Andrew N. • Maths tutor
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