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How do I differentiate (2x+1) / (3x^2 - 5)?

This is a typical example where the quotient rule is required to answer the question. This is clear because the function is made up of two other functions of x, one is the numerator and the other is the deno...
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Answered by Sophie T. • Maths tutor
5115 Views

In an arithmetic sequence, the first term is 2, and the fourth term is 14. a) Find the common difference, d. b) Calculate the sum of the first 14 terms, S14.

a) We have that a 1 = 2 and a 4 = 14, so the first thing that we can conclude is that the common difference, d, is positive, and that a 2 and a 3 are in between 2 and 14. We know that a 1 + 3d = 14. Substitu...
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Answered by Zhihong Z. • Maths tutor
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Solve the simultaneous equations 2x - 3y = 7 and 3x + 4y = 2. Do not use trail and improvement.

[ 2x - 3y = 7 ] *3 = [ 6x - 9y = 21 ] [ 3x + 4y = 2 ] *2 = [ 6x + 8y = 4 ] [ 6x + 8y = 4 ] - [ 6x - 9y = 21 ] = [ 17y = -17 ] Therefore, y = -1. Substituting y = -1 into the original equations and solving fo...
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Answered by Elizabeth H. • Maths tutor
15117 Views

A geometric progression has first term 3 and second term -6. State the value of the common ratio.

3/-6 = -2
EH
Answered by Elizabeth H. • Maths tutor
6539 Views

State one property that all EM waves have in common.

All EM waves travel at the same speed in a vacuum.
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Answered by Elizabeth H. • Physics tutor
3068 Views