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 the area of the triangle? no links just the answer plz.
nikitadnepr [17]

Answer:

A = 25

Step-by-step explanation:

Base = |-2-(-7)| = |-2+7| = 5

equation of the line that includes the base

x = 6 (because it is parallel to y axis)

the height passes to the point (-4,-4) and must be perpendicular to the base

the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0

so the equation of the line is y= -4

the point (6,-4) is where the two lines intercept and it is the point where the height hit  the base

height = |-4-6| = 10

A = (base x height)/2 = (5x10)/2 = 25

3 0
3 years ago
Baby Dill eats 18 ounces of baby food at every meal. Over the course of the week, Baby Dill ate 216 ounces of baby food. Find th
creativ13 [48]
A: 218 / 18 = 12 meals
7 0
3 years ago
Read 2 more answers
Samantha is working at Best Buy for the summer. She receives $5.00 commission for every 10
klio [65]
She received $25 in commissions
6 0
3 years ago
Can you help me please
Dima020 [189]

Answer:

∠1 = 48

∠2 = 132

∠4 - 132

Step-by-step explanation:

∠3 and ∠1 are vertical angles

vertical angles are congruent ( equal to each other )

So if ∠3 = 48° then ∠1 also = 48°

∠3 and ∠4 are supplementary angles

supplementary angles add up to equal 180°

Hence, ∠3 + ∠4 = 180

48 + ∠4 = 180

180 - 48 = 132

Hence, ∠4 = 132

∠4 and ∠2 are vertical angles

Like stated previously vertical angles are congruent

Hence, ∠2 = 132

4 0
3 years ago
thomas started a lawn-mowing business in Florida, in which he has x lawns on his route. his costs are $6 per lawn for fertilizer
PIT_PIT [208]

Number of lawn mowing = x.

His cost per lawn for fertilizer = $6.

His cost per lawn for labor = $14.

Total cost per lawn for fertilizer and  per lawn for labor for him = 6+14 = $20.

He charges = $25 per lawn.

So, profit per lawn = 25 - 20 = $5.

Therefore, for mowing x number lawn could be represented by polynomial that represents his weekly profit.

<h3>a) P(x) = 5x.</h3>

b) For mowing 40 lawns per week total profit would be

P(40) = 5(40) = $200.

c) Number of weeks an year = 52.

Therefore,

<h3>Annual profit is 52 * 200 = $10400.</h3>
8 0
3 years ago
Other questions:
  • Which of the following is the independent variable of F(G(X))?
    5·1 answer
  • Can someone help me please!! Thank you!
    9·1 answer
  • Please help, i did it just dont want to get a bad grade for homework so need somone to double check.
    15·1 answer
  • If the altitude of a star is 37 degrees, what is the angle between the star and zenith?
    13·1 answer
  • Which is the correct description of how to find the volume of a cylinder.
    5·1 answer
  • X squared +20 equals 2X
    10·1 answer
  • Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z​
    7·1 answer
  • Help please i’ll give extra points
    14·2 answers
  • The circumference of a circle is 20m. What is the area, in square meters?
    11·1 answer
  • ,,,,,,,,,,,,,,,,,,,,,,,,,
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!