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y = arctan(x)Start by taking the tangent of both sides:tan(y) = xTake the derivative of each side with respect to x, using implicit differentiation/the chain rule for the LHS, then rearrange to make dy/dx...

Ocean acidification is caused by the chemical reaction of CO2 dissolving into seawater, where it immediately dissociates into carbonic acid and then into bicarbonate and hydrogen ions which decreases the ...

First, we find the derivative of h: dh/dt= 4-4t. To find the point(s) of interest, we solve dh/dt=0. This gives the answer t=1. In order to determine whether t=1 is a minimum point or maximum point we fin...

To expand this, we must multiply each term in both brackets separately and then add all of these terms together. First, multiply the first term in each of the brackets: 3a x a = 3a^2. Next multiply the fi...

Oxygen diffuses through the alveolar wall into the capillary beds surrounding the lungs, and here it enters the red blood cells (erythrocytes). It binds to protein contained within the red blood cell call...