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(4-2x)/(2x+1)(x+1)(x+3) = A/(2x+1)+B/(x+1)+C(x+3) Find the values of the constants A, B and C

First, multiply throughout by the denominator of the main function to give as follows: 4-2x = A(x+1)(x+3) + B(2x+1)(x+3) + C(2x+1)(x+1) Then, choose values of x which will cause two of the constants to vanis...
MC
Answered by Michael C. • Maths tutor
14827 Views

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 ...
KA
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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
3871 Views

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...
MC
Answered by Michael C. • Chemistry tutor
14056 Views

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
4845 Views