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The sinoatrial (SA) node is a group of specialized cells which sit in the wall of the right atrium. The SA node sets the pace of your heart and is therefore called your pacemaker. SA node sets this pace b...

The tangent is the straight line passing through x=1, touching the curve only at that point. For x=1, y=(4+1)^3=125 Using the chain rule we obtain dy/dx = 38x(4x^2+1)^2. To then get the gradient ...

The equations for an arithmetic sequences are 1) Un = u1 + (n - 1)d 2) Sn = n/2(2*u1 + (n-1)d) 3) Sn = n/2(u1 + un)

The first step is to calculate the common difference, d. This is done using the f...

Write x in terms of y using one of the equations. Then substitute it in the second equation, which is then only in terms of y. Find y. Then you can easily find x.

Answer: x = 6 and y = 4.

A recession is when an economy experiences negative growth in terms of GDP for two or more consecutive quarters. If an economy such as that of the US, a major trading partner, were to enter a recession it...