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3 years ago

What is the least common multiple to determine the least common denominator for 2/3, 5/6, and 9/4

Mathematics

1 answer:

Nana76 [90]3 years ago

3 0

The least common multiple (LCM) to determine the least common denominator for 2/3, 5/6, and 9/4 = 12.

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Need help with Calculus 1 inverse trig functions

lidiya [134]

Answer:

$\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}$

Step-by-step explanation:

<u>The Derivative of a Function</u>

The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

$\displaystyle f'(x)=\lim\limits_{\Delta x \rightarrow 0}\frac{f(x+\Delta x)-f(x)}{\Delta x}$

There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.

The derivative of the inverse tangent is given as

$\displaystyle (tan^{-1}u)'=\frac{u'}{1+u^2}$

Where u is a function of x as provided:

$y=3tan^{-1}(x+\sqrt{1+x^2})$

If we set

$u=(x+\sqrt{1+x^2})$

Then

$\displaystyle u'=1+\frac{2x}{2\sqrt{1+x^2}}$

$\displaystyle u'=1+\frac{x}{\sqrt{1+x^2}}$

Taking the derivative of y

$y'=3[tan^{-1}(x+\sqrt{1+x^2})]'$

Using the change of variables

$\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}$

$\displaystyle y'=3\frac{u'}{1+u^2}=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+(x+\sqrt{1+x^2})^2}$

Operating

$\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+x^2+2x\sqrt{1+x^2}+1+x^2}$

$\boxed{\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}}$

8 0

3 years ago

Which of the following gives all of the sets that contain sqare root 9

Tems11 [23]

Answer:

4. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers

Step-by-step explanation:

√9 = 3

3 is every kind of number <em>except irrational</em>. It belongs to the sets of ...

natural numbers
whole numbers
integers
rational numbers
real numbers

6 0

4 years ago

In a survey, 10% of the people said they live in a city. If 70 people

ddd [48]

700 people were surveyed.

SOLUTION
70/10%
=700

Or

7 x 10^2
=700

HOPE THIS HELPS!! :))

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%20%7Cm%20%20-%202n%7C%20" id="TexFormula1" title=" \frac{3}{4} |m

pishuonlain [190]

Answer:

Step-by-step explanation:

3 0

3 years ago

Which one is correct?

slavikrds [6]

Answer:

A little more

6 0

3 years ago