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3 years ago

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above.

1 answer:

5 0

<span>∫c F · dr
= ∫∫s curl F · dS, by Stokes' Theorem
= ∫∫ <2, 0, -x> · <-z_x, -z_y, 1> dA
= ∫∫ <2, 0, -x> · <1, 0, 1> dA, since z = 2 - x
= ∫∫ (2 - x) dA.

Since the region of integration is inside x^2 + y^2 = 9, convert to polar coordinates:
∫(r = 0 to 3) ∫(θ = 0 to 2π) (2 - r cos θ) * (r dθ dr)
= ∫(r = 0 to 3) (2 * 2π - 0) * r dr
= 2πr^2 {for r = 0 to 3}
= 18π.
</span>

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What type of reaction is shown below? Check all that apply. 2Na + Cl2 → 2NaCl synthesis decomposition combustion

const2013 [10]

Answer: This is a type of Synthesis reaction.

Explanation:

Synthesis reaction is a type of chemical reaction in which two or more substances combine to form a single substance.

$A+B\rightarrow AB$

Decomposition reactions are a type of chemical reactions in which a substance breaks down into two or more substances.

$AB\rightarrow A+B$

Combustion reaction is a type of chemical reaction in which a hydrocarbon reacts with oxygen gas to produce carbon dioxide and water.

$Hydrocarbon+O_2\rightarrow H_2O+CO_2$

For the given reaction:

$2Na(s)+Cl_2(g)\rightarrow 2NaCl$

Here, 2 substances are combining together to form a single substance. Hence, it is considered as a synthesis reaction.

8 0

3 years ago

Read 2 more answers

Complete the pattern 9.5 950 95,000

Sati [7]

<span>9,500,000 is the next number in the pattern. Each time you multiply the number on the left by 100 to get the number on the right.</span>

4 0

3 years ago

3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10

wariber [46]

Answer:

The expected value of lateness $\frac{7}{20}$ hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

Lateness P (Lateness)

On Time 4/5

1 Hour Late 1/10

2 Hours Late 1/20

3 Hours Late 1/20

The formula of expected value of a random variable is:

$E(X)=\sum x\cdot P(X=x)$

Compute the expected value of lateness as follows:

$E(X)=\sum x\cdot P(X=x)$

$=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}$

Thus, the expected value of lateness $\frac{7}{20}$ hours.

8 0

3 years ago

A total of 135 seats, 118 front handlebars (that steer the bike) and 269 wheels how many bicycles, tandem bicycles, and tricycle

lesya692 [45]

Answer: There are 35 bicycles, 33 tricycles and 50 tandem bicycles.

Step-by-step explanation:

Since we have given that

Number of seats = 135

Number of front handle bars = 118

Number of wheels = 269

Since there are 118 front handle bars.

And we know that each bicycle has 1 front handle bars.

So, total number of bicycles = 118

Now, each bicycle has 2 wheels

So, Number of wheels should be

$118\times 2\\\\=236\ wheels$

But here we have 269 wheels , it means it has tricycle which has 3 wheels.

So, Remaining wheels would be

$269-236\\\\=33\ wheels$

It means 33 bicycles has 3 wheels .

So, Number of tricycles = 33

So, Number of bicycles should be now

$118-33=85$

Each bicycle has 1 seat

So, number of seats should be 85

But we have 135 seats,

So, remaining seats should be of tandem bicycle.

$135-85=50$

So, Number of bicycles now becomes

85-50 = 35

Hence, there are 35 bicycles, 33 tricycles and 50 tandem bicycles.

3 0

3 years ago

What is the distributive property to multiply 7 X 500,080.

geniusboy [140]

7 x 500,080=7 x (500,000+80)=7 x 500,000+7 x 80=3,500,000+560=3,500,560
☺☺☺☺

8 0

3 years ago