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kkurt [141]
3 years ago
12

Ill mark brainlist plss help

Mathematics
1 answer:
Inessa [10]3 years ago
6 0

Answer:

i need points sorry :)

Step-by-step explanation:

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Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F =
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For F to be conservative, we need to have

\dfrac{\partial f}{\partial x}=\cos z

\dfrac{\partial f}{\partial y}=10y

\dfrac{\partial f}{\partial z}=-x\sin z

Integrate the first PDE with respect to x:

\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)

Differentiate with respect to y:

\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)

Now differentiate f with respect to z:

\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C

So we have

f(x,y,z)=x\cos z+5y^2+C

so F is indeed conservative.

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3 years ago
A wholesaler of kitchen appliances offers a discount of 12% on the first $ 10,000 worth of goods and 17% on additional goods.Wha
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First, let's figure how much will 12% discount take off 10,000 dollars worth of goods.

To do that, we can multiply 12 by 10,000 and then divide by 100 to get the discount.

12 x 10,000 = 120,000

120,000/100 = 1,200

The discount for 12% of 10,000 is 1,200 dollars off.

Then, we would subtract that from 10,000.

10,000 - 1,200 = 8,800

After that, we need to solve for the amount taken off 17% of 8,800.

Same thing, multiply 17 by 8,800 and then divide by 100.

17 x 8,800 = 149600

149,600/100 = 1496

Lastly subtract that from 8800.

8800 - 1496 = 7304

Therefore, the final cost of $18,000 worth of appliances is $7,304 plus tax.

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3 years ago
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\frac{1}{5} x = y
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Order the following numbers from least to greatest.<br> |3 1⁄4|, |-2 1⁄3|, 3 3⁄4, 2 2⁄3
antoniya [11.8K]

Answer:

Step-by-step explanation:

|3 1/4 | = 3.25

|-2 1/3| = 2.33

3 3/4 = 3.75

2 2/3 = 2.66

least to greatest : |-2 1/3| , 2 2/3 , |3 1/4|, 3 3/4

5 0
3 years ago
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