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OverLord2011 [107]
1 year ago
6

Здравствуйте, можете пожалуйста помочь?

Mathematics
1 answer:
atroni [7]1 year ago
7 0

Hi!

(1)

\boldsymbol{(7x+y)-(-x-2y)}

Step 1: Distribute the minus.

\boldsymbol{(7x+y)+x+2y}

Step 2: Combine like terms.

\boldsymbol{7x+y+x+2y}

\boldsymbol{7x+x+y+2y}

\boldsymbol{8x+3y} <- Answer.

(2)

\boldsymbol{(b-3)+(2b+2)}

Step 1: Simplify.

\boldsymbol{b-3+2b+2}

Step 2:  Combine like terms.

\boldsymbol{b+2b-3+2}

\boldsymbol{3b-1} <- Answer.

(3)

\boldsymbol{3x(4y-z)}

Step 1: Distribute 3x.

\boldsymbol{12xy-3xz} <- Answer.

(4)

\boldsymbol{2a(3b-7)}

Distribute 2a:

\boldsymbol{6ab-14a}

Hope that helped! :)

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Find dy/dx for y= x^3 ln (cot x)
ICE Princess25 [194]
<h3>Answer</h3>

  \dfrac{dy}{dx} = 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)

<h3>Explanation</h3>

By the product rule (d/dx)(f(x)g(x)) = f(x)g'(x) + g(x)f'(x), we have

  \begin{aligned}\frac{dy}{dx} &= \left(x^3 \ln (\cot x) \right)' \\&= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \end{aligned}

By the chain rule:

  \begin{aligned}\big(\ln (\cot x)\big)' &= \dfrac{1}{\cot x} \cdot (\cot x)' \\ &= \dfrac{1}{\cot x} \cdot -\csc^2 x\\&= -\tan (x) \csc^2(x) \\&= - \frac{\sin x}{\cos x} \cdot \frac{1}{\sin^2 x} = - \frac{1}{\cos x} \cdot \frac{1}{\sin x} \\&= -\csc(x)\sec(x)\end{aligned}

By the power rule:

  (x^3)' = 3x^2

thus

  \begin{aligned}\frac{dy}{dx} &= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \\&= x^3\big( -\csc(x)\sec(x) \big) + \ln(\cot x) \cdot (3x^2) \\&= -x^3 \csc(x)\sec(x) + 3x^2 \ln(\cot x) \\&= 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)\end{aligned}

Nothing to do to simplify any further, other than factoring out x^2.

4 0
3 years ago
Is the following relation a function? (1 point)<br> y<br> X<br> OYes<br> O No
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
How do u do this question step by step<br><br>​
Nutka1998 [239]

Answer:

CRT = 18

TRV = 72

V = 18  

see attachment

Step-by-step explanation:

CRT = 90 - C = 90 - 72 = 18

TRV = 90 - CRT = 90 - 18 = 72

V = 90 - C = 90 - 72 = 18  

RTC =TUS = SXW

6 0
2 years ago
The original price of a bike is $340. The store offers a discount of 20% off the original price. A customer has a coupon for an
FinnZ [79.3K]

Answer:

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explanation:

I think that's the answer

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WILL GIVE BRAINLIEST GIVE EXPLANATION
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Answer:

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Step-by-step explanation:

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then,

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