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3 years ago

Which function has a domain of all real numbers except x=npi, where n is any integers

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

8 0

The domain of the function given are:
y=cot x
{x∈R: πn<x<π(n+1)} where n any integer

y=csc x
{x∈R: πn<x<π(n+1)} where n any integer

y=cos x

R (all real numbers)

y=sec x

{x∈R:π(n+1/2)<x<π(n+3/2)} where n is all integers.

from above we see that the the function that has a domain of all real numbers except npi is y=cot x and y=csc x

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Find the area of the parallelogram that has a base of 2 1/2 ft and a height of 1 1/4ft

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Answer:

The area of the parallelogram is $3\frac{1}{8}ft^{2}$

Step-by-step explanation:

Remember that a mixed fractions are composed for a whole number, a numerator and a denominator. For example in the mixed fraction $2\frac{1}{3}$ : 2 is the whole number, 1 is the numerator and 3 is the denominator.

If you want to convert to a improper fraction you need to multiply the whole number by the denominator and add to the numerator. The result will be the numerator of the improper fraction. The denominator remains the same.

$2\frac{1}{3}=\frac{(2*3)+1}{3} =\frac{7}{3}$

1. Convert the mixed fractions in the improper fraction type, as follows:

$Base= 2\frac{1}{2}=\frac{5}{2} \\ \\Height= 1\frac{1}{4}=\frac{5}{4}$

2. Replace the data in the equation of a parallelogram

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$Area= Base*Height\\Area=\frac{5}{2}ft *\frac{5}{4}ft\\Solve...\\Area=\frac{25}{8}ft^{2}$

3. Convert the improper fraction in a mixed fraction

$Area=\frac{25}{8}ft^{2}=3\frac{1}{8}ft^{2}$

The area of the parallelogram is $3\frac{1}{8}ft^{2}$

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