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
enyata [817]
3 years ago
12

Consider the vector field f(x,y,z)=(2z+3y)i+(3z+3x)j+(3y+2x)kf(x,y,z)=(2z+3y)i+(3z+3x)j+(3y+2x)k.

Mathematics
1 answer:
natima [27]3 years ago
6 0
\dfrac{\partial f}{\partial x}=2z+3y\implies f(x,y,z)=2xz+3xy+g(y,z)

\dfrac{\partial f}{\partial y}=3x+\dfrac{\partial g}{\partial y}=3z+3x
\dfrac{\partial g}{\partial y}=3z\implies g(y,z)=3yz+h(z)
\implies f(x,y,z)=3xz+3xy+3yz+h(z)


\dfrac{\partial f}{\partial z}=3x+3y+\dfrac{\mathrm dh}{\mathrm dz}=3y+2x
\dfrac{\mathrm dh}{\mathrm dz}=-x

But we assume h is a function of z alone, so there is no solution for h and hence no scalar function f such that \nabla f=\mathbf f.
You might be interested in
A researcher obtains t = 2.35 for a repeated-measures study using a sample of n = 8 participants. Based on this t value, what is
ZanzabumX [31]

Answer:

p_v =2*P(t_{7}>2.35)=2*0.0255=0.051  

If we compare the p value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.

Step-by-step explanation:

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level is not provided but we can assume it as \alpha=0.05. First we need to calculate the degrees of freedom like this:

df=n-1=8-1=7

The next step would be calculate the p value for this test.  Since is a bilateral test or two tailed test, the p value would be:  

p_v =2*P(t_{7}>2.35)=2*0.0255=0.051  

If we compare the p value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.  

5 0
3 years ago
HELP PLEASE!!! Ashton drew a triangle with vertices A (-1,2), B (5,2) and C (5.-1). He then rotated the triangle 180°
Naddika [18.5K]

Answer: The rule is when rotating 90 degrees, it's (-y, x), 180 degrees is (-x, -y), and 360 degrees is (y,  -x). Just plug in the numbers accordingly, and you should get the correct answer. It worked for me <3.

5 0
3 years ago
Simplify Rewrite the expression in the form x ^ n X^ 2 * x ^ - 12 =
Natalija [7]

Step-by-step explanation:

Given

=  {x}^{2} \times  {x}^{ - 12 } \\  =  {x}^{2 - 12}    \\  =  {x}^{ - 10}

Hope it will help :)

8 0
3 years ago
Read 2 more answers
Please help me with this
attashe74 [19]

Answer:

the 1st one

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Tiffany makes scarves and sells them at a neighborhood
Phoenix [80]
<span>n(30-14)-25=100
16n=125
n=7.8125 scarves a day, or 8 scarves a day must be sold, in order to make a profit of at least $100.!


I hope this helps!</span>
4 0
3 years ago
Other questions:
  • A recipe calls for 2 tablespoons of seasoning for every 7 pieces of chicken. For the family picnic, Joel is making 84 pieces of
    15·2 answers
  • It is known that x+y=10 and that x=z show that z+y=10
    15·1 answer
  • I have a mixture of $1 and $5 bills. There are a total of 73 bills that total $233 dollars. how many ones and fives I have ?
    12·1 answer
  • PLEASE HELP!!! WILL AWARD BRAINLIEST!!! you work a part-time job earning 6.80/hr with tips that average 2.30/hr you work 20 hr/w
    10·2 answers
  • Denzel bought 3 sweatshirts for $21.99 each and 2 T-shirts for $18.50 each. How much did he spend?
    15·2 answers
  • 4 - 7/x = 5 + 6/x <br>help me guys <br><br>​
    7·1 answer
  • a circular mirror has a diameter of 22 inches which measurement is closest to the area of the mirror in square inches
    10·1 answer
  • In triangle ABC, a = 3, b = 5, and c = 7. Find the approximate value of angle A.
    10·1 answer
  • The half-life of gold-195m is approximately 30.5 seconds.
    6·1 answer
  • G LEARNER'S PACKET (LeaP) KSS TV. LEARNING PHASES AND LEARNING ACTIVITIES VI. REFLECTION (Time Frame: Day 4 ) The learner commun
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!