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Tju [1.3M]
3 years ago
15

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

not conservative, enter DNE.) F(x, y) = (yex + sin(y))i + (ex + x cos(y))j
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

If

\nabla f=(ye^x+\sin y)\,\vec\imath+(e^x+x\cos y)\,\vec\jmath

then

\dfrac{\partial f}{\partial x}=ye^x+\sin y\implies f(x,y)=ye^x+x\sin y+g(y)

Differentiating with respec to y gives

\dfrac{\partial f}{\partial y}=e^x+x\cos y=e^x+x\cos y+g'(y)

\implies g'(y)=0\implies g(y)=C

So F is indeed conservative, and

f(x,y)=ye^x+x\sin y+C

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Determine the length of c in triangle shown Need help today pleasee
Gre4nikov [31]

Answer:

p= 7

b= 4

h = ?

we have,

h²=P²+b²

h²=7²+4²

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h²=65

h=√65

6 0
3 years ago
Find z0.755.
babunello [35]

Answer:

Option A is correct.

0.7734.

Step-by-step explanation:

Definition:  z-score indicates that how many standard deviations an element is from the mean.

It can be calculated from the following formula.

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

where;  

z is the z-score,    

X is the value of the element,

\mu is the mean, and σ is the standard deviation.

To interprets z- score:

  • if a z-score < 0, it  represents an element less than the mean.
  • if a  z-score > 0, it represents an element greater than the mean.
  • if  z-score = 0, it  represents an element equal to the mean.

Given:  z < 0.755

then,

to find the value of z, look up the standardize normal distribution to the left of a z-score.

we get

z = 0.7734

6 0
3 years ago
Read 2 more answers
What is the domain of the following?<br><br><br><br> (-0,5)<br> (-4,9)<br> [-5,4]<br> (-0,00)
statuscvo [17]
Domain = all possible x values
You can see it starts from -5 and it goes till 4. Therefore domain -5 < x < 4

Solution: [-5,4]
3 0
2 years ago
The table shows the total number y (in billions) of U.S. movie admissions each year for x years. Use a graphing calculator to fi
wariber [46]

Answer:

By rounding up of the constant and coefficient terms, we have;

The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x

Step-by-step explanation:

The table for the data on the number of movie admissions each year is presented as follows;

Year, x                                             {}                      Admission, y

0                                                      {}                         1.24

2                                                       {}                        1.26

4                                                      {}                         1.39

6                                                      {}                         1.47

8                                                      {}                         1.49

10                                                      {}                        1.57

Using a graphing calculator, we have that the line of best fit is given by the following equation;

y = 1.23047619048 + 3.45714285714 × 10⁻²·x

Which is approximately, y = 1.23 + 3.46 × 10⁻²·x

3 0
3 years ago
Plsssssss helpppp meeeeeeee I need the procedure and the correct answer plssssssss helppppp
Mumz [18]
Circumference of a circle is 2(pi)(r)
2(3.14)(7)= 43.96
So the answer is B
8 0
3 years ago
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