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Find the next term in the arithmetic sequence '8,11,14,17,...'

Begin by finding the difference between each consecutive term11-8=314-11=317-14=3 This shows that to get to the next term of the sequence, you add 3. Therefore the next term of the sequence is 20.
AS
Answered by Anika S. • Maths tutor
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y = (x+4)(6x-7). By differentiating, find the x coordinate of the maximum of this equation.

y=(x+4)(6x-7)y=6x 2 +17x-28dy\dx = 12x + 17To find the x coordinate of the stationary points of y, let dy\dx=012x+17=0x=-17\12
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Prove that √2 is irrational

Begin by assuming that √2 is rational, and can therefore be written as √2 = p\q where p and q are coprime integers.By squaring both sides, you get the result 2 = p 2 \q 2 , which rearranges to show that p 2 ...
AS
Answered by Anika S. • Maths tutor
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What are some main solutions for consumption negative externalities, such as smoking?

Negative consumption externalities derive from the marginal personal benefit being higher than the marginal social benefit. This creates a welfare loss triangle, which the government tries to avoid. Demerit ...
NK
Answered by Nicole K. • Economics tutor
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Differentiate y = e^(2x)cos(3x)

Using both the Chain Rule and the Product Rule for derivatives, we find the answer to be: dy/dx = e^(2x)[2cos(3x) - 3sin(3x)]
JC
Answered by Jesse C. • Maths tutor
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