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First differentiating by the rule that xⁿ differentiates to nx^n-1 we have that dy/dx = 4x²+6x-4.
At the turning points of a curve the differential is equal to 0 so w...

x = 10, y = 3. From the second equation, we have x = (9y - 7)/2. Substituting this expression for x into the first equation gives 3(9y - 7)/2 + 5y = 45. 3(9y - 7) + 10y = 90. 27y - 21 + 10y = 90. 37y = 11...

This question is taken from Section A of a Spanish HL Paper 2, and roughly translates to: "The mayor of your city has banned fast food chains. You're not sure if such an extreme measure is appropriat...

Deoxygenate blood from the body drains into the right atrium of the heart through the superior and inferior vena cave vessels. When the atria contract, blood is squeezed through the tricuspid valve into t...

use integration by parts