Step-by-step explanation:
hope it's helpful to you ☺️
Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0
deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)
so
dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))
domain is all real numbers greater than 0
derivitive is
A right triangle can also be an isosceles triangle.
Answer:
![\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%5C%3A%5C%3Aand%5C%3A%5C%3A%5Csqrt%5B%5Csf%203%5D%7B%5Csf%2025%7D)
Step-by-step explanation:
<u>Definitions</u>
Integer: A whole number that can be positive, negative, or zero.
Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).
Irrational Number: A real number that <u>cannot</u> be written as a rational number.


Therefore, -8.2183 can be expressed as a <u>rational number</u>.
π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.

is an irrational number.

As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.
<u>Conclusion</u>
Therefore, the numbers that are irrational are:
![\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%5C%3A%5C%3Aand%5C%3A%5C%3A%5Csqrt%5B%5Csf%203%5D%7B%5Csf%2025%7D)