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4 years ago

Derivative of

lass="latex-formula"> $e^{2x}$

Mathematics

1 answer:

ch4aika [34]4 years ago

5 0

$f(x)=x^3e^{2x}\\\\f'(x)=(x^3e^{2x})'\qquad\text{use}\ (f\cdot g)'(x)=f'(x)g(x)+f(x)g'(x)\\\\=(x^3)'(e^{2x})+(x^3)(e^{2x})'\\\\\text{use}\ (x^n)'=nx^{n-1}\ \text{and}\ (e^x)'=e^x\ \text{and}\ f'[g(x)]=f'(g(x))\cdot g'(x)\\\\=3x^2e^{2x}+x^3e^{2x}\cdot2\\\\=\boxed{3x^2e^{2x}+2x^3e^{2x}}$

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Why are there so many moose attacks

boyakko [2]

Answer:

Moose attacks spike in September and October which is mating season, and early Spring also due to young calves being raised. Many moose attacks on humans are actually provoked from dogs. Moose hate dogs and wolves, and become extremely aggressive by their presence, especially at a dog that barks.

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3 years ago

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WORTH 15 POINTS PLEASE ANSWER ASAP!! MY YOUNGER BROTHER NEEDS HELP ON THIS!!!!<br> ∧ω∧

xxTIMURxx [149]

Answer:

Therefore,

AD = 7 unit

AE = 600 unit

EF = 30 unit

FB = 5 unit

Ar(EFGH)= 210 unit²

Ar(ABCD)= 4445 unit²

Step-by-step explanation:

Given:

Consider a rectangle ABCD as shown in the figure below where,

Area (ABCD) = 635 × 7 = 4445

Therefore length and width of a rectangle will be

LENGTH =635 = AB

WIDTH = 7 = AD

To Find:

AE =?

EF = ?

FB = ?

Ar(EFGH)=?

Ar(ABCD) =?

Solution:

We know that area of the rectangle is given by

$\textrm{Area of rectangle}= LENGTH\times WIDTH$

$\textrm{Area of rectangle ABCD}= 635\times 7=4445\ unit^{2}$

Substituting the values we get

$\textrm{Area of rectangle AEHD}= AE\times 7\\\\4200=AE\times 7\\\therefore AE=\dfrac{4200}{7}=600$

Similarly for area rectangle FBCG,

$\textrm{Area of rectangle FBCG}= FB\times 7\\\\35=FB\times 7\\\therefore FB=\dfrac{35}{7}=5$

Now we have

AB = 635,

$AE + EF + FB = 635\\\\600+EF+5=635\\\\EF=635 -605=30\\\therefore EF = 30$

Similarly for area rectangle EFGH,

$\textrm{Area of rectangle EFGH}= EF\times 7\\\\=30\times 7=210\ isunit^{2}$

Therefore,

AD = 7 unit

AE = 600 unit

EF = 30 unit

FB = 5 unit

Ar(EFGH)= 210 unit²

Ar(ABCD)= 4445 unit²

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3 years ago

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29% expressed as a fraction in simplest form is?

scoundrel [369]

The Answer: 7.25/25

Hope this helps!

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3 years ago

Round off 3409725 to nearest 10

Klio2033 [76]

Answer:

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Step-by-step explanation:

to know if this answer is correct you have to know the rounding rules:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

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3 years ago

Which of these values of x is NOT a solution of the equation tanx= 1?

Kobotan [32]

The tangent ratio is an illustration of the trigonometry identity

The value of x that is not a solution of tan(x) = 1 is 3 $\pi$ /4

<h3>How to determine the value that is not a solution</h3>

The trigonometry identity is given as:

tan(x) = 1

Next, we test the x values using a calculator.

When $x = -7\pi/4$ , we have:

tan(-7 $\pi$ /4) = 1

When x = 3 $\pi$ /4, we have:

tan(3 $\pi$ /4) = -1

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tan(5 $\pi$ /4) = 1

When x = $\pi$ /4, we have:

tan( $\pi$ /4) = 1

Hence, the value of x that is not a solution of tan(x) = 1 is 3 $\pi$ /4

Read more about trigonometry identity at:

brainly.com/question/7331447

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