Higher Mathematics Group.

What is a Banach Space?
Give an example

Prove that every convergent sequence in a normed space is Cauchy sequence.

Find all the subgroups of the dihedral group D_{6} which is given by
D_{6}={e, a, a², b , ab , a²b} where e is the identity.

Differentiate between shear rate and shear stress in fluid mechanics

Consider the population model
dp/dt=10(1-0.2p)(0.5p-1)p
For what value(s) of p is the population increasing, decreasing or equilibrium?

Given that u(x)=5^x
Find du/dx

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Find dy/dx of y=tanx
Using first principle of differentiation
Show process

Find the sum of 1+2+3+4+...+n

6mod3=??

Convert 7.6 to base 4
Show the process

Find the infimum of the set created by 2k€, where € means epsilon>0 and k=1,2,3,...

What constitutes an upward parabola?

Find the solution set for the values of x

x²+4x+4≥0

Find the cardinality of the interval
A=(4 ,5]

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