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
You know that the battery in your alarm clock is going to run out of power soon. If it runs out within the next 24 hours, what i
aivan3 [116]
The probability of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here the event is the alarm clock running out of power. There are 24 hours during which the power can go out. You are asleep during 8 of these. A "favorable" outcome in this case is the power going out while you are sleeping -- that is, during one of those 8 hours. This makes the probability that the power goes out while you are sleeping 8/24.
3 0
3 years ago
suppose the temperature outside is dropping 2.5 degrees each hour how much will the temperature change in 6 hours​
mote1985 [20]

Answer:

15 degrees

Step-by-step explanation:

2.5x6= 15

8 0
3 years ago
Read 2 more answers
What is the TOTAL surface area?
BartSMP [9]

Answer:

SA=571.77

Step-by-step explanation:

SA==2πrh+2πr2=2·π·7·6+2·π·72≈571.76986

pls mark brainliest

8 0
3 years ago
Solve 7(-1 + 4x) – 12x = 5. Check your solution.
Rzqust [24]

Answer:

x=\frac{3}{4} or 0.75

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How can you represent 100 as an exponential expression with 10 as the base?
Dennis_Churaev [7]

Answer:  

We use exponential notation to write repeated multiplication, such as 10 • 10 • 10 as 103. The 10 in 103 is called the base. The 3 in 103 is called the exponent. The expression 103 is called the exponential expression

Step-by-step explanation:

a website to use for more answer:http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U11_L1_T1_text_final.html

Can you mark me brianest plz and thanks

5 0
2 years ago
Other questions:
  • 1. Find sin? if cos?=1/2 and ? terminates in Quadrant IV. 2. Find cos? if sin?=(?2)/2 and ? terminates in Quadrant I. 3. Find ta
    11·1 answer
  • The volume of a cylinder with height h h and radius r r can be found using the formula V = ? r 2 h V=?r2h Find the volume of a c
    6·1 answer
  • Calculate the area of the figure. Assume that all angles are right angles.
    15·2 answers
  • The sum of the least and greatest of three consecutive integers is 72. what are the three integers?
    5·1 answer
  • What is the positive solution of |2x-6|=9?
    15·1 answer
  • **Use Pie Graph for Projected Percentage
    12·1 answer
  • Find the scale factor<br> A. 3.5<br> B. 3/5<br> C. 35
    14·1 answer
  • Help..................​
    13·1 answer
  • NO LINKS PLEASE HURRY I REALLY NEED HELP
    12·1 answer
  • The area of a rectangle that is 15 feet long and 10 feet wide is
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!