A25. Given ∆U/∆x = ∆V/∆x = (5 m s–1) / (500 km), find the divergence, vorticity,...
A25. Given ∆U/∆x = ∆V/∆x = (5 m s–1) / (500 km), find the divergence, vorticity, and total deformation for (∆U/∆y , ∆V/∆y) in units of (m s–1)/(500 km) as given below:
a. (–5, –5)
d. (0, 0)
f. (5, 0)
h. (–5, 5)
i. (5, –5)
Homework Answers
Add Answer to:
A25. Given ∆U/∆x = ∆V/∆x = (5 m s–1) / (500 km), find the
divergence, vorticity,...
1. Gauß theorem / Divergence Theorenm Given the surface S(V) with surface normal vector i of...
1. Gauß theorem / Divergence Theorenm Given the surface S(V) with surface normal vector i of the volume V. Then, we define the surface integral fs(v) F , df = fs(v) F-ndf over a vector field F. S(V) a) Evaluate the surface integral for the vector field ()ze, - yez+yz es over a cube bounded by x = 0,x = 1, y = 0, y = 1, z 0, z = 1 . Then use Gauß theorem and verify it....
N1. Find the wind direction and speed, given the (U, V) components a. (-5, 0) knots...
N1. Find the wind direction and speed, given the (U, V) components a. (-5, 0) knots c. (-1,15) mi/h e. (8, 0) knots g. (-2,-10) mi/h b. (8,-2) m/s d. (6,6) m/s f. (5, 20) m/s h. (3,-3) m/s
(1 point) 5x2 — 5у, v %3D 4х + Зу, f(u, U) sin u cos v,u...
(1 point) 5x2 — 5у, v %3D 4х + Зу, f(u, U) sin u cos v,u = Let z = = and put g(x, y) = (u(x, y), v(x, y). The derivative matrix D(f ° g)(x, y) (Leaving your answer in terms of u, v, x, y ) (1 point) Evaluate d r(g(t)) using the Chain Rule: r() %3D (ё. e*, -9), g(0) 3t 6 = rg() = dt g(u, v, w) and u(r, s), v(r, s), w(r, s). How...
use divergence theorem Let S be the surface of the box given by {(x, y, z)|...
use divergence theorem
Let S be the surface of the box given by {(x, y, z)| – 1 < x < 2, 05y<3, -2 << < 0} with outward orientation. Let F =< xln(xy), –2y, –zln(xy) > be a vector field in R3. Using the Divergence Theorem, compute the flux of F across S. That is, use the Divergence Theorem to compute SSĒ.ds S
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse...
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
step by step solution. Using the given formula. Find the following derivatives *(u, v) = (x(u,...
step by step solution.
Using the given formula. Find the following derivatives *(u, v) = (x(u, v), y(u, v), (u, v)) for (u, v) ED osa (, Vo) = vf((40,vo)) of 9). (Up, vo) = 0f(f(Up, vo)) (U9, Vo) (Up, Vo) f(x, y, z) = y3 – 6x²y + z²x *(s, t) = (e* cos(t), e* sin(t),s2)
Let F (x, y, 2) =zi+xj+yk. Find the divergence of F. a. -2 b. -1 c....
Let F (x, y, 2) =zi+xj+yk. Find the divergence of F. a. -2 b. -1 c. 0 d. 1 e. 2 f. 3 g. 4 h. 5
S (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P ...
s (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P in the direction of Q(2, 5). b) Find the directions in which the function increases and decreases most rapidly atP e) Find the maximum value of the directional derivative of fat P. d) Is there a direction u in which the directional derivative o f fat P equals 1? If there is, find u. If there is no such direction, explain. e)...
5. Consider the function z) = x(T-x). Find the deflection u(z, y,t) of thesquare m em brane of side T and c2 ะไ for initial velocity 0 and initial deflection /(z,y) = F(x)F(v). 5. Consider t...
5. Consider the function z) = x(T-x). Find the deflection u(z, y,t) of thesquare m em brane of side T and c2 ะไ for initial velocity 0 and initial deflection /(z,y) = F(x)F(v).
5. Consider the function z) = x(T-x). Find the deflection u(z, y,t) of thesquare m em brane of side T and c2 ะไ for initial velocity 0 and initial deflection /(z,y) = F(x)F(v).
Find the component form of u + v given the lengths of u and V and...
Find the component form of u + v given the lengths of u and V and the angles that u and v make with the positive x-axis. Tull = 7, y = 0 Ilvl = 2, By = 60° u + V
1. Gauß theorem / Divergence Theorenm Given the surface S(V) with surface normal vector i of the volume V. Then, we define the surface integral fs(v) F , df = fs(v) F-ndf over a vector field F. S(V) a) Evaluate the surface integral for the vector field ()ze, - yez+yz es over a cube bounded by x = 0,x = 1, y = 0, y = 1, z 0, z = 1 . Then use Gauß theorem and verify it....
N1. Find the wind direction and speed, given the (U, V) components a. (-5, 0) knots c. (-1,15) mi/h e. (8, 0) knots g. (-2,-10) mi/h b. (8,-2) m/s d. (6,6) m/s f. (5, 20) m/s h. (3,-3) m/s
(1 point) 5x2 — 5у, v %3D 4х + Зу, f(u, U) sin u cos v,u = Let z = = and put g(x, y) = (u(x, y), v(x, y). The derivative matrix D(f ° g)(x, y) (Leaving your answer in terms of u, v, x, y ) (1 point) Evaluate d r(g(t)) using the Chain Rule: r() %3D (ё. e*, -9), g(0) 3t 6 = rg() = dt g(u, v, w) and u(r, s), v(r, s), w(r, s). How...
use divergence theorem
Let S be the surface of the box given by {(x, y, z)| – 1 < x < 2, 05y<3, -2 << < 0} with outward orientation. Let F =< xln(xy), –2y, –zln(xy) > be a vector field in R3. Using the Divergence Theorem, compute the flux of F across S. That is, use the Divergence Theorem to compute SSĒ.ds S
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
step by step solution.
Using the given formula. Find the following derivatives *(u, v) = (x(u, v), y(u, v), (u, v)) for (u, v) ED osa (, Vo) = vf((40,vo)) of 9). (Up, vo) = 0f(f(Up, vo)) (U9, Vo) (Up, Vo) f(x, y, z) = y3 – 6x²y + z²x *(s, t) = (e* cos(t), e* sin(t),s2)
Let F (x, y, 2) =zi+xj+yk. Find the divergence of F. a. -2 b. -1 c. 0 d. 1 e. 2 f. 3 g. 4 h. 5
s (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P in the direction of Q(2, 5). b) Find the directions in which the function increases and decreases most rapidly atP e) Find the maximum value of the directional derivative of fat P. d) Is there a direction u in which the directional derivative o f fat P equals 1? If there is, find u. If there is no such direction, explain. e)...
5. Consider the function z) = x(T-x). Find the deflection u(z, y,t) of thesquare m em brane of side T and c2 ะไ for initial velocity 0 and initial deflection /(z,y) = F(x)F(v).
5. Consider the function z) = x(T-x). Find the deflection u(z, y,t) of thesquare m em brane of side T and c2 ะไ for initial velocity 0 and initial deflection /(z,y) = F(x)F(v).
Find the component form of u + v given the lengths of u and V and the angles that u and v make with the positive x-axis. Tull = 7, y = 0 Ilvl = 2, By = 60° u + V
Most questions answered within 3 hours.
-
If you have an eta squared of .34 and used a
between-subjects design, what does that...
asked 5 minutes ago -
*Healthcare Adminstration*
Scutchfield and Keck's Principles of Public Health Practice
4th edition
What are the differences...
asked 9 minutes ago -
Find the complete optimal solution to this linear programming
problem. Max 5x + 3y s.t. 2x...
asked 37 minutes ago -
The pH of an acetate buffer was determined to be 4.76. Then, a
few drops of...
asked 40 minutes ago -
a sample of size 1500 is used to find a confidence
interval for the percentage of...
asked 49 minutes ago -
Explain in detail the differences between qualitative and
quantitative forecasts. Include at least two examples of...
asked 54 minutes ago -
Differentiate between response time and throughput.
Explain how the physical design of a database influences
performance...
asked 56 minutes ago -
Write MATLAB code to plot the following
waveforms.
Rectangular pulses:
????(?)
????(? − ?)
????(?/?) ...
asked 56 minutes ago -
4. Adam’s Inc.’s outstanding common stock is currently selling
in the market for $28. Dividends of...
asked 1 hour ago -
question
you were
asked to create a regression that will predict the amount of saving
for...
asked 1 hour ago -
If tcalc = -2.78, tcrit = 1.96, H0: Mu > Mu0, and Xbar <
Mu0, what...
asked 1 hour ago -
Circular distribution
•Suppose two birds are flying, one is flying from the north and
the other...
asked 1 hour ago