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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 d...

a) We have that a₁ = 2 and a₄ = 14, so the first thing that we can conclude is that the common difference, d, is positive, and that a₂ and a₃ are in between 2 a...

[ 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 o...

3/-6 = -2

All EM waves travel at the same speed in a vacuum.