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Lina20 [59]
3 years ago
15

Use the diagram to the right to complete the statement. If m

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0
What is the question ? I don’t get it???
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Use the given transformation to evaluate the integral. 9 x − 3y 2x − y dA, R where R is the parallelogram enclosed by the lines
hichkok12 [17]

\displaystyle\iint_R(9x-3y)(2x-y)\,\mathrm dA

\begin{cases}u=x-3y\\v=2x-y\end{cases}\implies\begin{cases}x=\frac{3v-u}5\\y=\frac{v-2u}5\end{cases}\implies\mathrm dA=|\det J|\,\mathrm du\,\mathrm dv

where J is the Jacobian matrix for the transformation,

J=\begin{bmatrix}u_x&u_y\\v_x&v_y\end{bmatrix}=\begin{bmatrix}-\dfrac15&\dfrac35\\\\-\dfrac25&\dfrac15\end{bmatrix}\implies|\det J|=\dfrac15

We have

9x-3y=8x+x-3y=\dfrac85(3v-u)+u=\dfrac{24v-3u}5

so that the integral is

\displaystyle\frac1{25}\int_9^{10}\int_0^{10}(24v-3u)v\,\mathrm du\,\mathrm dv=\boxed{\frac{4051}5}

5 0
3 years ago
A subtract 3g^2 + 5g + 2g - 2 from 6g^2 + 6 - 4g + 2g^2
vodka [1.7K]

1. Collect like terms.

(6g^2+2g^2-3g^2)+(6-2)+(-4g+5g+2g)

2. Simplify

5g^2+4+3g

Sorry i'm hoping that helps, i'm on a school computer i cant see the picture you attached but i did 6g^2 + 6 - 4g + 2g^2 - 3g^2 + 5g + 2g - 2 because that's what it seemed you were asking.

4 0
2 years ago
What is the answer, please?
skelet666 [1.2K]

Answer:

10.6 ounces

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Consider the expression 5/6(1/2x+6)-3x
Gwar [14]
Ok...I considered it....oh..u want me to answer it...lol..ok

5/6(1/2x + 6) - 3x
5/12x + 30/6 - 3x
5/12x - 36/12x + 5
- 31/12x + 5 <===
3 0
3 years ago
Which expressionism equivalent to -60 / 5 select all that apply 60 divided by negitive 5 60 times 1/5 60 times negitive 1/5 Negi
GaryK [48]

Answer:

Equivalent expressions

A) \frac{60}{-5}

C)  60\times (-\frac{1}{5})

Step-by-step explanation:

Given expression :

\frac{-60}{5}

Choices given :

A) \frac{60}{-5}

B) 60\times \frac{1}{5}

C)  60\times (-\frac{1}{5})

D) -60\times (-\frac{1}{5})

To find the equivalent expression.

We will first evaluate the given expression.

\frac{-60}{5}

⇒ -12    [Quotient of a negative dividend and a positive divisor is always negative]

Evaluating each choice to select the equivalents.

A) \frac{60}{-5}

⇒ -12    [Quotient of a positive dividend and a negative divisor is always negative]

B) 60\times \frac{1}{5}

⇒ \frac{60}{5}

⇒ 12

C)  60\times (-\frac{1}{5})

⇒ -\frac{60}{5}   [Product of a positive and a negative is always a negative]

⇒ -12

D) -60\times (-\frac{1}{5})

⇒ \frac{60}{5}   [Product of two negatives is always a positive]

⇒ 12

∴ We see that the choices A and C are equivalent.

7 0
3 years ago
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