1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serhud [2]
3 years ago
13

Find the curl of ~V ~V = sin(x) cos(y) tan(z) i + x^2y^2z^2 j + x^4y^4z^4 k

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Given

\vec v =  f(x,y,z)\,\vec\imath+g(x,y,z)\,\vec\jmath+h(x,y,z)\,\vec k \\\\ \vec v = \sin(x)\cos(y)\tan(z)\,\vec\imath + x^2y^2z^2\,\vec\jmath+x^4y^4z^4\,\vec k

the curl of \vec v is

\displaystyle \nabla\times\vec v = \left(\frac{\partial h}{\partial y}-\frac{\partial g}{\partial z}\right)\,\vec\imath - \left(\frac{\partial h}{\partial x}-\frac{\partial f}{\partial z}\right)\,\vec\jmath + \left(\frac{\partial g}{\partial x}-\frac{\partial f}{\partial y}\right)\,\vec k

\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ - \left(4x^3y^4z^4-\sin(x)\cos(y)\sec^2(z)\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k

\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ + \left(\sin(x)\cos(y)\sec^2(z)-4x^3y^4z^4\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k

You might be interested in
What is 2/9 divide 9/10=
Ipatiy [6.2K]

To divide fractions:

Flip the second fraction

Multiply the numerators

Multiply the denominators

Simplify


2/9*10/9

2*10=20

9*9=81

20/81


Hope this helps!!

6 0
2 years ago
Read 2 more answers
Math: Slope help please
pishuonlain [190]
Slope = (2+5)/(-3-1) = 7/-4 = -7/4

answer is B -7/4
3 0
2 years ago
Read 2 more answers
If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?
Ipatiy [6.2K]

Answer:

P(X

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

X \sim N(5.43,0.54)  

Where \mu=5.43 and \sigma=0.54

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

P(Z

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

6 0
3 years ago
1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?
Karolina [17]

Using the concept of y-intercept, it is found that the response that is not correct is given by:

B) Replace x with -x.

<h3>What is the y-intercept of a function?</h3>

It is the value of the function when x = 0, hence it is the point (0, f(0)).

In this problem, the function is:

f(x) = 3(2)^x

The y-intercept is given by:

f(0) = 3(2)^0 = 3

If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.

More can be learned about y-intercepts at brainly.com/question/24737967

7 0
2 years ago
Which answer is a soultion to the equation lk+9l=4
REY [17]

Answer:

k=-5 or k= -13

Step-by-step explanation:

lk+9l=4

k+9=4 or k+9=-4

k=-5 or k= -13

7 0
2 years ago
Other questions:
  • The product P of two consecutive natural numbers, the first of which is N
    9·1 answer
  • Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpet's King's installation price $50 but th
    12·1 answer
  • Classify the triangle with angles measuring 40°, 40°, and 100°.
    7·2 answers
  • How do i solve this?
    12·1 answer
  • FOR BRAINLIEST
    12·2 answers
  • Bruce bought two books. One book cost $4.00 more than three times the other. Toghter, the two books cost him 72
    14·1 answer
  • WILL MARK BRAINLEST ! HELP! THANK YOU!
    7·1 answer
  • Four quarts are how many gallons?
    6·2 answers
  • Find the difference or type "impossible" <br><br><br>[3 –8] - [4 -5 -6]<br><br><br>[?] [?] [?]​
    15·1 answer
  • Kevin has 2 apples and john took 1 how much apples does kevin have
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!