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2 years ago

Which of the following has the greatest value w-x, w+x. x-w. XxW

Mathematics

1 answer:

VMariaS [17]2 years ago

4 0

Answer:

X×W

Step-by-step explanation:

Product multiplies, whereas addition increases value steadily. Subtraction reduces a value, hence X×W has the greatest value.

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Can someone please Simplify (a^2)^5

Nataly_w [17]

Answer:

$a^{10}$

Step-by-step explanation:

$a^{2*5}$

6 0

2 years ago

Read 2 more answers

How do i solve that question?

yawa3891 [41]

a) The solution of this <em>ordinary</em> differential equation is $y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }$ .

b) The integrating factor for the <em>ordinary</em> differential equation is $-\frac{1}{x}$ .

The <em>particular</em> solution of the <em>ordinary</em> differential equation is $y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$ .

<h3>How to solve ordinary differential equations</h3>

a) In this case we need to separate each variable ( $y, t$ ) in each side of the identity:

$6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t$ (1)

$6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C$

Where $C$ is the integration constant.

By table of integrals we find the solution for each integral:

$-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C$

If we know that $x = 0$ and $y = 1$ <em>, </em>then the integration constant is $C = -2$ .

The solution of this <em>ordinary</em> differential equation is $y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }$ . $\blacksquare$

b) In this case we need to solve a first order ordinary differential equation of the following form:

$\frac{dy}{dx} + p(x) \cdot y = q(x)$ (2)

Where:

$p(x)$ - Integrating factor
$q(x)$ - Particular function

Hence, the ordinary differential equation is equivalent to this form:

$\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x}$ (3)

The integrating factor for the <em>ordinary</em> differential equation is $-\frac{1}{x}$ . $\blacksquare$

The solution for (2) is presented below:

$y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C$ (4)

Where $C$ is the integration constant.

If we know that $p(x) = -\frac{1}{x}$ and $q(x) = x^{2} + \frac{1}{x}$ , then the solution of the ordinary differential equation is:

$y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C$

$y = x\int {x} \, dx + x\int\, dx + C$

$y = \frac{x^{3}}{2}+x^{2}+C$

If we know that $x = 1$ and $y = -1$ , then the particular solution is:

$y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$

The <em>particular</em> solution of the <em>ordinary</em> differential equation is $y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$ . $\blacksquare$

To learn more on ordinary differential equations, we kindly invite to check this verified question: brainly.com/question/25731911

3 0

2 years ago

nora has a piece of ribbon that is 3/4 yard long.she will use half of it to make a bow what length of the ribbon will she use fo

insens350 [35]

Okay, first you need to find half of 3/4, so do you know the box way?
Draw a box and split it into fourths and shade 3 of the boxes, then split it in to halfs and then thats your answer! it equals 3/8 then reduce!

4 0

3 years ago

I need help with this exercise on Simplifying Logarithms.

Ainat [17]

Answer:

e^6 ≈ 403

Step-by-step explanation:

You want the value of e^(4x-2) when x = 2.

<h3>Evaluation</h3>

Put 2 where x is in the expression and do the arithmetic.

e^(4·2 -2) = e^6 ≈ 403.429

The value of the expression is about 403.

8 0

11 months ago

Help 10 pts!

Contact [7]

Answer:

49/100

Just took the quiz

7 0

2 years ago