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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
9137 Views

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
5269 Views

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 ...

EB
Answered by Ellie B. Biology tutor
10318 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...

RH
Answered by Rachel H. Physics tutor
7189 Views

How do I prepare quotes for a closed book exam?

Although a closed book exam means you won't get to have the texts in front of you, there's no need to panic, and no need to feel that you won't be able to use quotations! One of the best ways to approach ...

TD
5248 Views

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