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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 ...

y=(x+4)(6x-7)y=6x²+17x-28dy\dx = 12x + 17To find the x coordinate of the stationary points of y, let dy\dx=012x+17=0x=-17\12

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 = p²\q², which rearran...

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. Demer...

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)]