Use Stoke's Theorem to find the circulation of F⃗ =7yi⃗ +3zj⃗
+2xk⃗ around the triangle obtained...
Use Stoke's Theorem to find the circulation of F⃗ =7yi⃗ +3zj⃗
+2xk⃗ around the triangle obtained by tracing out the path (5,0,0)
to (5,0,3) to (5,5,3) back to (5,0,0)
Use Stokes' Theorem to find the circulation of F⃗ =2yi⃗ +2zj⃗
+4xk⃗ around the triangle obtained by tracing out the
path (3,0,0) to (3,0,4), to (3,4,4) back to (3,0,0).
Circulation = ∫CF⃗ ⋅dr⃗ =
Second time I've asked this question because chegg cant solve
this problem correct. 24sqrt(2) is the wrong answer
Write down Green’s Circulation Theorem. Explain when Green’s
Circulation Theorem applies and when it does not. Give an example
of Green’s Circulation Theorem showing the function, the integral
and drawing the region.
Answer the following using Binomial theorem and Pascal's
Triangle:
a. Find the middle term in the expansion of (4x –
x3)14
b. Use Pascal’s triangle to expand (3x +
2y)6.
Use the divergence theorem to calculate the flux of the vector
field F⃗ (x,y,z)=−5xyi⃗ +2yzj⃗ +4xzk⃗ through the sphere
S of radius 2 centered at the origin and oriented outward.
∬SF⃗ ⋅dA⃗ =
Use Stokes' theorem to compute the circulation
F · dr
where F =
8xyz,
2y2z,
5yz
and C is the boundary of the portion of the plane
2x + 3y +
z = 6
in the first octant. Here C is positively oriented with
respect to the plane whose orientation is upward.
Use this theorem to find the inverse of the given matrix or show
that no inverse exists. (If an answer does not exist, enter DNE in
any cell.)
1
2
5
1
−1
0
2
1
2
1
−5
0
1
1
2
1
(1 point) Let F=−3yi+4xjF=−3yi+4xj. Use the tangential vector
form of Green's Theorem to compute the circulation integral
∫CF⋅dr∫CF⋅dr where C is the positively oriented circle
x2+y2=25x2+y2=25.
Use the central limit theorem to find the mean and standard
error of the mean of the indicated sampling distribution. Then
sketch a graph of the sampling distribution.
The per capita consumption of red meat by people in a country in
a recent year was normally distributed, with a mean of 107 pounds
and a standard deviation of 39.1 pounds. Random samples of size 15
are drawn from this population and the mean of each sample is
determined.
Use the central limit theorem to find the mean and standard
error of the mean of the indicated sampling distribution: The
amounts body temperatures of patients with influenza (in degrees
Fahrenheit) are normally distributed with a mean of 101 degrees and
a standard deviation of 0.5 degrees. Random samples of size 9 are
drawn from the population and the mean of each sample is
determined.
101 degrees; 0.1667 degrees
101 degrees; 0.5000 degrees
11.22 degrees; 0.1667 degrees
11.22 degrees; 0.5000...
Use the Central Limit Theorem to find the mean and standard
error of the mean of the sampling distribution. Then sketch a graph
of the sampling distribution. The mean price of photo printers on a
website is $228 with a standard deviation of $61. Random samples
of size 34 are drawn from this population and the mean of each
sample is determined. What is the standard deviation of the
distribution of sample means ? (Type an integer or decimal rounded...