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When should the subjunctive be used?

The subjunctive is a mood in Spanish which has its own grammatical endings and is generally used to express something that might be possible or that there is doubt about. The subjunctive can be recognised bo...
WC
Answered by William C. • Spanish tutor
2718 Views

Find ∫ x^2(ln(4x))dx

∫x 2 ln(4x)dx Firstly , identify this question as integration by parts. Therefore set one half as value 'u' and one as value 'dv'. Here we will set u = ln(4x). Therefore: du/dx = 1/4x . (4) du = 1/x dx We th...
SF
Answered by Sally F. • Maths tutor
12227 Views

When trying to solve inequalities (e.g. 1/(x+2)>x/(x-3)) I keep getting the wrong solutions even though my algebra is correct.

*The usual mistake with inequalities is not with a students algebra, but with lack of consideration of the inequality signs. During a tutorial I would show their false method and my correct one and also sket...
TH
Answered by Timothy H. • Maths tutor
4554 Views

Prove that (AB)^-1 = B^-1 A^-1

This problem can be solved in 8 steps: 1. Let AB = C 2. A -1 AB = A -1 C 3. IB = A -1 C as the identity matrix I = A -1 A 4. B -1 B = B -1 A -1 C premultiply both sides by B -1 5. I = B -1 A -1 C as B -1 B =...
KH
129153 Views

How should I learn all the cases?

First of all, you do not need to learn every case as there are just too many to learn. Second, there are different cases for the same points so just remember the one that is easier for you (though make sure ...
CD
Answered by Connor D. • Law tutor
4408 Views