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let y = lnx therefore e^y = x then differentiating both sides we get: dy/dx (e^y) = 1 dy/dx = 1/(e^y) and as e^y = x dy/dx = 1/x when y = lnx

Rearrange both equations to make y the subject:2x + 5y = 5 rearranges to y = -2x/5 + 1 and x - 2y = 4 rearranges to y = x/2 - 2Equate both the rearranged equations and solve for x:-2x/5 + 1 = x/2 - 2x = 1...

An integral is an anti-derivative, meaning it will take the derivative we are assessing and return it back to its original function. Moreover, an integral is used to find the area under a curve. Dif...

We know that the 2nd term has a value of 8. Thus a + 6b = 8;What is more, we also know that the 5th term has a value of 44. We also know that the next element in the sequence increases by 4b when compared...

This question may seem extremely broad but in fact there is only one assumption one should make - the volume of the water. Let's say that there are 200mL of water in the glass. We know that the concentrat...