3. Find the general solution of the following differential equation. 1 (1 += sin²z) de +(+²2) dy-0 PROBLEM STEP BY STEP 2y EXPLAIN IN WORDS HOW TO SOLVE THIS 3. Find the general solution of the following differential equation . 1 ( 1 + = sin²z ) de + ( + ²2 ) dy - 0 PROBLEM STEP BY STEP 2y EXPLAIN IN WORDS HOW TO SOLVE THIS​

The importance of critical thinking and logic for  for natural science students is that  it can help to improve their ability to be able to see or identify, examine, and evaluate any form of arguments by other people and they can also make construct arguments by themselves.

Critical thinking is known to be used for scientific inquiry and as such, it helps a good scientist to make great progress in evaluating data that is said to contradicts their current scientific ideas.

So, the importance of critical thinking and logic for  for natural science students is that  it can help to improve their ability to be able to see or identify, examine, and evaluate any form of arguments by other people and they can also make construct arguments by themselves.

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The study of men and women’s responses to persuasive advertisements by Kurt is best described as a nonequivalent-control-group design.

A persuasive advertisement can be defined as a type of advertisement that is aimed at convincing customers to purchase a product or service, especially by leveraging on their desires and interests in it.

In this context, we can infer and logically deduce that nonequivalent-control-group design refers to the study of men and women’s responses to persuasive advertisements, as performed by Kurt.

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x=48

Since it has the highest abundance

The disruption which is not a major cause of a high rate of species extinction on planet Earth is: c. earthquakes.

Extinction refers to a situation in which a species, family, or other taxonomic group of living organisms such as animals or plants become extinguished, destroyed, or exterminated (dead).

This ultimately implies that, extinction literally means the extermination of a species, family, or other taxonomic group of living organisms. However, earthquakes are disruption which aren't a major cause of a high rate of species extinction on planet Earth.

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Answer:

your answer is respiration

Explanation:

is just facts and science :)

hope it helpes

Answer:

? = - 1

x^2/2

x^3/6

Explanation:

-1x + x^2/2 - x^3/6 + x^4 - x^5/120 + 0(x^6)

https://www.wolframalpha.com/input?i=taylor+series+e%5E-x

(a) This is a Bernoulli equation:

[tex]\dfrac{dy}{dx} + \dfrac{x}{2(x^2+1)} y = x^3y^5[/tex]

[tex]\implies y^{-5} \dfrac{dy}{dx} + \dfrac{x}{2(x^2+1)} y^{-4} = x^3[/tex]

Substitute [tex]z=y^{-4}[/tex] and [tex]\frac{dz}{dx} = -4y^{-5}\frac{dy}{dx}[/tex] to transform the ODE to

[tex]-\dfrac14 \dfrac{dz}{dx} + \dfrac{x}{2(x^2+1)} z = x^3[/tex]

[tex]\implies \dfrac{dz}{dx} - \dfrac{2x}{x^2+1} z = -4x^3[/tex]

which is now linear in [tex]z[/tex]. Using the integrating factor method, the I.F. is

[tex]\mu = \displaystyle \exp\left(\int -\frac{x}{x^2+1} \, dx\right) = \exp\left(-\frac12 \ln(1+x^2)\right) = \dfrac1{\sqrt{1+x^2}}[/tex]

Distribute [tex]\mu[/tex] on both sides to get a derivative of a product on the left side.

[tex]\dfrac1{\sqrt{1+x^2}} \dfrac{dz}{dx} - \dfrac{2x}{(x^2+1)^{3/2}} z = -\dfrac{4x^3}{\sqrt{1+x^2}}[/tex]

[tex]\implies \dfrac{d}{dx} \left(\dfrac1{\sqrt{1+x^2}} z\right) = -\dfrac{4x^3}{\sqrt{1+x^2}}[/tex]

Integrate both sides (the integral on the right can be done by parts) to get

[tex]\displaystyle \frac1{\sqrt{1+x^2}} z = -4 \int \frac{x^3}{\sqrt{1+x^2}} \, dx = -\frac43 (x^2-2) \sqrt{1+x^2} + C[/tex]

Solve for [tex]z[/tex].

[tex]\displaystyle \frac1{\sqrt{1+x^2}} z = -\frac43 (x^2-2) \sqrt{1+x^2} + C[/tex]

[tex]\implies z = -\dfrac43 (x^2-2) (1+x^2) + C \sqrt{1+x^2}[/tex]

Solve for [tex]y[/tex].

[tex]\dfrac1{y^4} = -\dfrac43 (x^2-2) (1+x^2) + C \sqrt{1+x^2}[/tex]

[tex]\implies \boxed{y^4 = -\dfrac3{4(x^2-2) (1+x^2) + C \sqrt{1+x^2}}}[/tex]

You could go on to solve explicitly for [tex]y[/tex] if you like.

(b) This is also a Bernoulli equation:

[tex]x^2y' + 2xy - y^3 = 0[/tex]

[tex]\implies x^2 y^{-3} y' + 2xy^{-2} = 1[/tex]

Substitute [tex]z=y^{-2}[/tex] and [tex]z' = -2y^{-3}y'[/tex].

[tex]-\dfrac{x^2}2 z' + 2xz = 1[/tex]

[tex]\implies z' - \dfrac4x z = -\dfrac2{x^2}[/tex]

Now repeat the method from (a) to solve for [tex]y[/tex].

[tex]\mu = \exp\left(-\displaystyle \int \frac4x \, dx\right) = \dfrac1{x^4}[/tex]

[tex]\implies \dfrac1{x^4} z' - \dfrac4{x^5} z = -\dfrac2{x^6}[/tex]

[tex]\implies \left(\dfrac1{x^4} z\right)' = -\dfrac2{x^6}[/tex]

[tex]\displaystyle \implies \dfrac1{x^4} z = -2 \int \frac{dx}{x^6}[/tex]

[tex]\implies \dfrac1{x^4} z = \dfrac2{5x^5} + C[/tex]

[tex]\implies z = \dfrac2{5x} + Cx^4[/tex]

[tex]\implies \dfrac1{y^2} = \dfrac2{5x} + Cx^4[/tex]

[tex]\implies \boxed{y^2 = \dfrac{5x}{2 + Cx^5}}[/tex]

The tone of the music is one of orchestric quality as there is the:

This refers to the use of music to respond to Friedrich Nietzsche's philosophical treatise about a crisis in European thought, the rise of science, religion, etc.

Hence, we can see that Richard Strauss made use of repetition as he repeats the opening fanfare as it rises in intensity each time and reaches a major cadence.

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Some examples of developmentally appropriate practices that relate to the physical environment are:

A developmentally appropriate practice can be defined as a teaching perspective that is adopted in early childhood education and it requires socially, emotionally, and physically nurturing the cognitive development of a child.

In this context, some examples of developmentally appropriate practices that relate to the physical environment are:

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Answer:

I've done the outline for u, just fill in the blanks and you'd get the answers.

Each of these ODEs is linear and homogeneous with constant coefficients, so we only need to find the roots to their respective characteristic equations.

(a) The characteristic equation for

[tex]y'' - 2y' - 8y = 0[/tex]

is

[tex]r^2 - 2r - 8 = (r - 4) (r + 2) = 0[/tex]

which arises from the ansatz [tex]y = e^{rx}[/tex].

The characteristic roots are [tex]r=4[/tex] and [tex]r=-2[/tex]. Then the general solution is

[tex]\boxed{y = C_1 e^{4x} + C_2 e^{-2x}}[/tex]

where [tex]C_1,C_2[/tex] are arbitrary constants.

(b) The characteristic equation here is

[tex]25r^2 - 20r + 4 = (5r - 2)^2 = 0[/tex]

with a root at [tex]r=\frac25[/tex] of multiplicity 2. Then the general solution is

[tex]\boxed{y = C_1 e^{2/5\,x} + C_2 x e^{2/5\,x}}[/tex]

(c) The characteristic equation is

[tex]r^2 + 2r + 2 = (r + 1)^2 + 1 = 0[/tex]

with roots at [tex]r = -1 \pm i[/tex], where [tex]i=\sqrt{-1}[/tex]. Then the general solution is

[tex]y = C_1 e^{(-1+i)x} + C_2 e^{(-1-i)x}[/tex]

Recall Euler's identity,

[tex]e^{ix} = \cos(x) + i \sin(x)[/tex]

Then we can rewrite the solution as

[tex]y = C_1 e^{-x} (\cos(x) + i \sin(x)) + C_2 e^{-x} (\cos(x) - i \sin(x))[/tex]

or even more simply as

[tex]\boxed{y = C_1 e^{-x} \cos(x) + C_2 e^{-x} \sin(x)}[/tex]

Based on the Excel table, the two columns that are mislabeled are:

An Excel table can be defined as a rectangular range of data set in a spreadsheet document, which consist of cells that are arranged in rows and columns.

In this scenario, we can logically deduce that the "First order date" and "Most recent order date" are the two columns that are mislabeled because the date for the first order should normally come before the most recent order.

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Answer:

1

Explanation:

The structured activity among the given options is, "playing national level basketball." The correct option is D.

Learning exercises that are structured have a defined start, middle, and end. Every piece or type of piece has a clear function in the completion of the play activity, and there is typically a rule or set of rules.

Activities that are structured are ones that are planned, organized, and frequently include rules or guidelines.

Usually directed by a coach, instructor, or other authoritative figure, these activities have a clear goal or objective.

Swimming, biking, and doing cartwheels can all be fun and healthy activities, but they are often less regimented than sports like basketball, which require a lot of planning, organization, and coaching.

Of the many possibilities, "playing national level basketball" is the structured activity.

Thus, the correct option is D.

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Answer:

Both price and quantity decrease.

All of the aforementioned characterize women in a country with a low Gender Empowerment Measure ranking except: A. many are agricultural workers.

Gender Empowerment Measure (GEM) can be defined as an index that is designed and developed to measure the level of inequalities between opportunities that are available to both men and women in a country.

In this context, we can infer and logically deduce that all of the aforementioned characterize women in a country with a low Gender Empowerment Measure ranking except stating that many are agricultural workers.

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Answer:

A

Explanation:

When dealing with comp sci,

the / symbol only cares about the whole number of the answer unless we cast it to a double.

For example,

[tex] \frac{53}{5} = 10[/tex]

in Java,

So here

[tex] \frac{13}{5} = 2[/tex]

Since a is assigned to that,

[tex]a = 2[/tex]

Next, the symbol % acts as the remainder sign

[tex]b\%a[/tex]

Remember b is 5, and a is 2 now, so

[tex]5\%2 = 1[/tex]

So

b=1

The answer here is A

Logic can be regarded as the science and art that pertains to reasoning well.

Logic is seen as a science because it tries to know or see the rules of reasoning and logic is seen as an art because it tries to use  those rules to create a rational discourse.

Hence one can say that Logic can be regarded as the science and art that pertains to reasoning well.

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Coaching is teaching someone to do something forever, and building skills.  To provide counseling for an employee you are simply communicating with them and finding potential solutions to problems.  

Answer:

To coach is to teach, To counsel is expressing to do something

Answer:

Taco Bell

Explanation:

Answer:

Burger King!!!!!!!

Subdividing [0, 1] into 10 equally spaced intervals of length [tex]\Delta x=\frac{1-0}{10}=\frac1{10}[/tex] gives the partition

[tex][0,1] = \left[0,\dfrac1{10}\right] \cup \left[\dfrac1{10},\dfrac2{10}\right] \cup \cdots \cup \left[\dfrac9{10},1\right][/tex]

The [tex]i[/tex]-th subinterval has left and right endpoints, respectively, given by

[tex]\ell_i = \dfrac{i-1}{10} \text{ and } r_i = \dfrac i{10}[/tex]

where [tex]i\in\{1,2,3,\ldots,10\}[/tex].

The midpoint of the [tex]i[/tex]-th interval is the average of these,

[tex]m_i = \dfrac{\ell_i+r_i}2 = \dfrac{2i-1}{20} \in \left\{\dfrac1{20},\dfrac3{20},\dfrac5{20},\ldots,\dfrac{19}{20}\right\}[/tex]

We approximate the area under [tex]f(x)[/tex] over [0, 1] by the Riemann sum,

[tex]\displaystyle \int_0^1 f(x) \, dx \approx \sum_{i=1}^{10} f(m_i) \Delta x \\\\ ~~~~~~~~ = \frac1{10} \sum_{i=1}^{10} \bigg(5\sin(\pi m_i) + 2.5 \cos(4\pi m_i)\bigg) \\\\ ~~~~~~~~ = \frac{\sin\left(\frac\pi{20}\right) + \sin\left(\frac{3\pi}{20}\right) + \cdots + \sin\left(\frac{19\pi}{20}\right)}2 \\\\ ~~~~~~~~~~~~ + \dfrac{\cos\left(\frac\pi5\right) + \cos\left(\frac{3\pi}5\right) + \cdots + \cos\left(\frac{19\pi}5\right)}4 \\\\ ~~~~~~~~ \approx 3.19623[/tex]

(D)

All infants and toddlers should implored by their parents and guardians to spend their time in a place that is visually appealing.

Aesthetics can be defined as a branch of philosophy that deals with nature, beauty and visually appealing sceneries, so as to enhance growth and development in living organisms.

Some examples of aesthetics that are good for infants and toddlers include the following:

In conclusion, all infants and toddlers should implored by their parents and guardians to spend their time in a place that is visually appealing.

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So, for the formation of the solar system, a hypothesis or "theory" was made and it is called the Solar Nebula theory.

So here goes,

A vast cloud of dust once existed where our solar system is now.  Static electricity drove the particles to begin clumping together over a period of billions of years. The clumps kept expanding because of the increased gravitational attraction they had on neighboring particles as they grew bigger. Mercury through Mars are examples of heavier clumps, or those with larger amounts of heavy elements in their compositions, that eventually evolved into the inner, or rocky, planets. The outer, gaseous planets, which include Jupiter through Neptune, were formed from lighter groupings. The sun emerged as the biggest, heaviest mass of all.

The clumps, which were now the size of planets, used gravity to catch additional clumps, which developed into moons. For instance, Mars managed to snag a few asteroids. Jupiter photographed an amazing variety of bodies. However, it should be noted that the moon of Earth is assumed to have formed as a result of a large collision that sent some of the planet's mantle into space.

Although we consider our solar system to be developed, "clump capture" is still going on. The planets constantly sweep up junk in their courses as they move through space. Saturn is gradually consuming its renowned rings, meteor showers on Earth occur as we travel through debris fields, and so on.

One of the six (6) approaches to changing an undesirable behavior in toddlers is: d. all of the above.

Behavior modification is a therapeutic process that changes any undesirable behavior in an individual, especially through the use of positive or negative consequence and biofeedback.

In Psychology, the six (6) approaches to changing an undesirable behavior in toddlers are:

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The GDP is $12 billion.

In Economics, Velocity of circulation refers to the circulation of the amount of the money during a given period of the time. The calculation of the velocity of circulation is done by dividing GDP by the country's total money supply.

The Gross domestic product (GDP) is the standard measurement of the total value of the goods and services produced in the country in the given period of time.

According to the question, Velocity of Circulation is 4 and quantity of money is $3 billion.The calculation of the GDP is as follows:-

Gross domestic product = 4×3 billions

                                     = $ 12 billions

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According to bureau of Labor statistics, Lucretia's unemployment would be categorized as cyclical unemployment.

According to bureau of Labor statistics, unemployment is divided into various types and these include the following;

In this scenario, Lucretia's unemployment would be categorized as cyclical unemployment because it was as a result of an economic factor known as recession.

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Answer:

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You can Try to refer to this questions and solve it!

The one i am going to discuss among the  6 Discoveries in Infancy is Discovery 6 : Imitation.

Discovery 6 is known to be the steps in infancy where a child is said to  learn about how Imitation influences one's action.

In this step, in the first two years of life, the infant is known to be very good at imitating others and as such, My thought is that parents and siblings of the child need to mindful of what they do or say in their presence.

Note that Imitation is said to be a very essential learning skill and as such a child in his or her early stage of life do imitate their own behaviors and they also mimic things they see, from body activity to others.

A laughable experience is that my brother  always hear my Dad calling my Mum "my Honey, my beautiful wife. My brother ends up calling my mother the same for a while and would not stop if ask to or corrected as he believes it was right and he only stopped when he grew pass that stage. Therefore  one should know and understand that  power of imitation is strong and can influence a child positively or negatively.

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