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How to prove that (from i=0 to n)Σi^2= (n/6)(n+1)(2n+1), by induction.

First you must show that the statement on the right hand side is true for n=1: Σ i=0 i 2 when n=1, is equal to 1 2 =1 (1/6)(1+1)(1+2)=(1/6)(2)(3)=1 This means that the statement is true for n=1. Next you ass...
JB
Answered by James B. • Maths tutor
20787 Views

How do you differentiate X to the power of a?

To differentiate X a , where a is any real number, you multiply X by a, and subtract 1 from the power. i.e. d(X a )/dX=aX a-1
JB
Answered by James B. • Maths tutor
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Describe the Structure and Bonding of Benzene

Benzene has the chemical formula C6H6 where each Carbon atom is bonded to two other Carbon atoms and a single Hydrogen atom. The 4th bond pair of electrons from each Carbon atom is delocalised, creating a de...
BL
Answered by Ben L. • Chemistry tutor
68104 Views

In which case would I use the verb SER and in which case would i use the verb ESTAR when talking about someone's profession?

The verb ESTAR is used when the job is considered temporary or relatively unimportant to the person undertaking it.-Mi prima va a estar de camarera en un restaurante todo el verano.-My cousin will work as a ...
AS
Answered by Adele S. • Spanish tutor
5616 Views

How to choose a pH indicator for a titration?

Although it can seem a unusual question it simply requires to have understood the basis of a titration. First of all, what is a pH indicator? It is simply an acid-base compound whose acid and base form prese...
SM
Answered by Sarah M. • Chemistry tutor
21180 Views