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3 years ago

2. 14 repeaing as a fraction

Mathematics

2 answers:

tino4ka555 [31]3 years ago

7 0

You need to state more info, this isn't even a question

Karolina [17]3 years ago

5 0

I'm not sure of what you are asking. However, 2.14 as a fraction is
2 $\frac{14}{100}$ .

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If a(x)=3x+1 and b(x)=square root of x-4, what is the domain of (b•a)(x)

jarptica [38.1K]

Answer:

Step-by-step explanation:

....

6 0

3 years ago

Help with 30 please. thanks.

Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

$\displaystyle y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}$

And we want to show that:

$\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}$

Instead of differentiating directly, we can first square both sides:

$\displaystyle y^2 = 3e^{2x} -4x + 1$

We can find the first derivative through implicit differentiation:

$\displaystyle 2y \frac{dy}{dx} = 6e^{2x} -4$

Hence:

$\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}$

And we can find the second derivative by using the quotient rule:

$\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}$

Substitute:

$\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}$

Combine fractions:

$\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}$

Simplify:

$6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}$

Q.E.D.

6 0

3 years ago

What is the meaning of panchtantra???

DochEvi [55]

Answer:

<h2><u>✍</u><u> </u><u>PANCHTANTRA </u><u>:</u></h2>

⎆ The word “Panch.atantra” is a combination of the words Pancha – meaning five in Sanskrit, and Tantra – meaning weave. It's an ancient Indian inter-related collection of animal fables in verse and prose, in a frame story format.

⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆

7 0

3 years ago

Read 2 more answers

Oduct of (x2 + 3)(x - 5).

Zanzabum

Answer: 2x^2-7x-15

Step-by-step explanation:

reorder the terms (x*2+3)*(x-5)

multiply the parentheses

(2x+3)*(x-5)

collect like terms (2x^2-10x+3x-15)

product= 2x^2-7x-15

8 0

3 years ago

what is an equation of the line perpendicular to y+1=-3(x-5) and passes through (4,-6)? please help quick

Fiesta28 [93]

Step-by-step explanation:

The slope of the given line is -3. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we need to find is 1/3.

Substituting into point slope form, we get:

y + 6 = ⅓(x+6)

7 0

2 years ago

Read 2 more answers

2. ​14 repeaing as a fraction

2. 14 repeaing as a fraction