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The volume of liquid in a container is given by v=(3h^2+4)^(3/2)-8, find dV/dh when h = 0.6

Chain rule: dV/dh=9h(3h^2+4)^(1/2) sub in h=0.6 , dV/dh = 12.17
JH
Answered by Johnny H. • Maths tutor
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Given that y=(4x^2)lnx, find f"(x) when x=e^2

Product rule: first order derivative = 8xlnx+4x Second order derivative = 8lnx+12 Sub in e^2 , 16lne + 12 = 24
JH
Answered by Johnny H. • Maths tutor
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Why do objects reach terminal velocity?

The force of gravity acts on an object, causing it to accelerate towards the earth. As it’s velocity increases the drag force (friction) exerted on it by the air increases. When the two forces on the object ...
AL
Answered by Aylin L. • Physics tutor
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What is the Hardy-Weinberg equilibrium and when is it used? With an example

The Hardy-Weinberg equilibrium is used to work out dominant and recessive allele ratios in a population regarding one gene. Dominant alleles are those which when at all present in the genotype develops a par...
EB
Answered by Ellie B. • Biology tutor
10931 Views

A pendulum of mass m is released from height h with a speed v at the bottom of its swing. a) What is the gravitational potential energy at height h and the kinetic energy at the bottom of its swing? b) Use conservation of energy to define the speed v.

a) To begin with we will calculate the gravitational potential energy at height, h. This is the result of the mass, m, being lifted through earth's gravitational pull, (approximated as g = 9.81 m/s at the ea...
RH
Answered by Rachel H. • Physics tutor
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