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How does heart muscle contract rhythmically in unison?

The heart is composed of a specialied muscle type called cardiac muscle. This has unique properties such that each muscle cell is connected together by gap junctions in their cell membranes (electrical synap...
JC
Answered by Jonathan C. • Biology tutor
6426 Views

Integrate x*ln(x)

Let u = ln(x) and dv/dx = x Thus du/dx = 1/x and v = x 2 /2 Using the formula: Integral of u dv/dx = u v - Integral of v*du/dx This becomes: Integral of x*ln(x) = (x 2 ln(x))/2 - Integral of x/2 Completing t...
AG
Answered by Anindita G. • Maths tutor
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A projectile is fired out of a cannon at 50 km/s, at an angle of 30 degrees and an elevation of 10m from the ground. How long does it take for the projectile to hit the ground?

Find the verticle velocity by resolving the velocity vector: Trigonometry: 50sin30 = 25m/s in upwards direction Using SUVAT for the vertical direction: S=-10, U=25, A=-9.81, V=N/A, T=?: s=ut+0.5at 2 In the u...
LC
Answered by Lewis C. • Physics tutor
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What is the % yield if 12g of magnesium is dissolved in hydrochloric acid to produce 20g of magnesium chloride?

First we need to write the balanced equation for the reaction. In this case it is Mg + 2HCl -> MgCl 2 + H 2 . Now we need to work out the maximum theoretical yield of MgCl 2 from 12g of Mg. 12g of Mg is 0...
HW
Answered by Holly W. • Chemistry tutor
7927 Views

Differentiate the function f(x) = 2x^3 + (cos(x))^2 + e^x

When differentiating a function that is the sum of three different parts we can differentiate each part separately: a) 2x 3 is easy to differentiate. We remember the rule d/dx[ax b ] = abx b-1 . So 2x 3 --&g...
SP
Answered by Seth P. • Maths tutor
6331 Views