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The patriarchal society of Elizabethan times meant there was a certain expectation for women to be submissive and conform. In The Taming of the Shrew, Shakespeare creates the opposite to this ide...

After the ingestion of a meal containing carbohydrate, glucose is released into the blood stream from the gut. An increase in blood glucose stimulates the secretion of the hormone, Insulin from the pancre...

The probability of picking a ball from a bag is the number of balls of that colour divided by the total number of balls.

Therefore in the first instance, the probability of a red ball is 3/9 or 1/3...

For the first ball the probability we pick a red ball is the same, it's the number of red balls divided by the total number of balls. Which in this case is 3/9. 

If we replace the balls the chance ...

d/dx (xy) = x dy/dx + y 

d/dx (y^2) = 2y dy/dx [This is from the chain rule]

So, d/dx (2x^2 + xy + y^2 = 14) 

=> 4x + x dy/dx + y + 2y dy/dx = 0

set dy/dx = 0 as stationary ...