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zvonat [6]
3 years ago
13

Evaluate the integral Integral from left parenthesis 2 comma 1 comma 2 right parenthesis to left parenthesis 6 comma 7 comma neg

ative 5 right parenthesis y dx plus x dy plus 7 dz by finding parametric equations for the line segment from ​(2​,1​,2​) to ​(6​,7​,negative 5​) and evaluating the line integral of Fequalsyiplusxjplus7k along the segment. Since F is​ conservative, the integral is independent of the path.
Mathematics
1 answer:
White raven [17]3 years ago
8 0

ANSWER

-9

EXPLANATION

We want to evaluate the line integral:

\int_{(2,1,2)}^{(6,7,-5)}ydx+xdy+7dz

The parametric equations for the line segment from (2,1,2) to (6,7,-5) is

x = 2 + 4t

y= 1 + 6t

z= 2  - 7t

This implies that:

dx = 4dt

dy = 6dt

dz =  - 7dt

Our integral now becomes:

\int_{0}^{1} (1 + 6t)(4)+(2 + 4t)(6) + 7( - 7)dt

We simplify to get:

\int_{0}^{1} 48t - 33dt

This integral evaluates to:

\int_{0}^{1} 48t - 33dt =  - 9

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I really need help!!! It would mean a lot if someone could help me.
Rudiy27

The y answers would be 11, 8, 5, 2, -1.

To find these parts of the table, we simply put the x value in for x and solve for y. The first two are done for you below.

WHEN x = -2

y = -3x + 5

y = -3(-2) + 5

y = 6 + 5

y = 11

WHEN x = -1

y = -3x + 5

y = -3(-1) + 5

y = 3 + 5

y = 8

4 0
2 years ago
Read 2 more answers
On question 34, the last word is inches:&gt;<br> No links&lt;3
vladimir1956 [14]

Answer:

The first box should have the formula/quantity should be 100/12 (division) and equal to 8 ⅓. The second box formula/quantity should be always multiply with 12 along with how many feet there is.

8 0
2 years ago
lindsey read a total 85 books over 17 months. if lindsey has read 105 books so far, how many months has she been with her book c
Soloha48 [4]

Answer:

Step-by-step explanation:

8 0
3 years ago
The equation of line k is y=
Nina [5.8K]

Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

I'm assuming you meant line k is y = 3x -2. If not, this is wrong.

For this, you need to put both lines in point-slope form, or the form that line k is already in. This means you only need to convert line m.

-2r + 6v = 18

6v = 2r + 18

v = 2/6r + 18/6

v = 1/3r + 3

Now you can answer the question.

To be parallel, lines must have the same slope (but a different y-intercept). 3 and 1/3 are not the same, so the lines are not parallel.

To be perpendicular, one line must have the opposite reciprocal (fraction flipped and + goes to - or - to +) of the other. While 3 is the reciprocal of 1/3, they are both positive, so they are not perpendicular.

To be the same line, the equations must be absolutely identical, which they aren't.

This leaves the last option: neither.

Let me know if you need a more in-depth explanation of anything here! I'm happy to help!

3 0
2 years ago
Read 2 more answers
Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f
pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas  = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁)  = 0.999869

P(A/E₁) = 3%  = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}

=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}

\frac{0.2999607}{0.00000393+0.2999607}

\frac{0.2999607}{0.29996463}

= 0.999986898 ≈ 0.999987

6 0
3 years ago
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