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Find the derivative of the arctangent of x function

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 th...
MB
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What is ocean acidification?

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 pH ...
LS
Answered by Lulu S. • Biology tutor
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A ball is thrown in the air. The height of the ball at time t is given by: h=5+4t-2t^2. What is its maximum height? At what time does the ball reach this height?

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 find t...
DS
Answered by Debbie S. • Maths tutor
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Expand the brackets: (3a+3)(a+4)

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 first...
LB
Answered by Luke B. • Maths tutor
5230 Views

Explain how oxygen and carbon dioxide are transported within the blood?

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 called ...
DT
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