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Lena [83]
4 years ago
6

Which of the following represents the domain and range of y = cot x?

Mathematics
1 answer:
AURORKA [14]4 years ago
6 0

Answer:

option  4 is right

Step-by-step explanation:

Consider the trignometric function y =cotx

Since cot x has sin x in denominator, cot x is undefined whenever sinx =0

OR whenever x =n π, for any integer n, cot x is undefined

Hence domain =(-∞,∞) ,x≠nπ

Range = -∞<y<∞

since cotx can take any real values

The graph y=cotx will be a periodic function discontinuous at all integral multiples of pi and undefined for integral multiples of pi.

It is not defined for x=0 also

It passes through (pi/4,1) (npi/2,0)

i.e. x intercepts are odd multiples of pi/2

and it takes value 1 for pi/4, 5pi/4, .....


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To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3.  2g of AlCl3 contains 9.034*10^21 molecules.

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The molar mass of AlCl3 is given as 133.34g/mol

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Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

133.34g = 6.023*10^2^3

If we equate this

133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

Learn more on mole concept here;

brainly.com/question/21150359

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