Question

Evaluate the following. f(x, y) = x + y S: r(u, v) = 5 cos(u) i...

Evaluate the following.


f(x, y) = x + y
S: r(u, v) = 5 cos(u) i + 5 sin(u) j + v k, 0 ≤ u ≤ π/2, 0 ≤ v ≤ 3

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Evaluate the surface integral S F · dS for the given vector field F and the...
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = y i − x j + z2 k S is the helicoid (with upward orientation) with vector equation r(u, v) = u cos v i + u sin v j + v k, 0 ≤ u ≤ 5, 0...
a)Prove that the function u(x, y) = x -y÷x+y is harmonic and obtain a conjugate function...
a)Prove that the function u(x, y) = x -y÷x+y is harmonic and obtain a conjugate function v(x, y) such that f(z) = u + iv is analytic. b)Convert the integral from 0 to 5 of (25-t²)^3/2 dt into a Beta Function and evaluate the resulting function. c)Solve the first order PDE sin(x) sin(y) ∂u ∂x + cos(x) cos(y) ∂u ∂y = 0 such that u(x, y) = cos(2x), on x + y = π 2
Find the fundamental vector product. 1. r(u, v) = (u 2 − v 2 ) i...
Find the fundamental vector product. 1. r(u, v) = (u 2 − v 2 ) i + (u 2 + v 2 ) j + 2uv k. 2. r(u, v) = u cos v i + u sin v j + k.
Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v;...
Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v; w); z = z(u; v; w). To calculate ∂s ∂u (u = 1, v = 2, w = 3), which of the following pieces of information do you not need? I. f(1, 2, 3) = 5 II. f(7, 8, 9) = 6 III. x(1, 2, 3) = 7 IV. y(1, 2, 3) = 8 V. z(1, 2, 3) = 9 VI. fx(1, 2, 3)...
4.Given F(x,y,z)=(cos(y))i+(sin(y))j+k, find divF and curlF at P0(π/4,π,0) divF(P0)=? curlF(P0)= ?
4.Given F(x,y,z)=(cos(y))i+(sin(y))j+k, find divF and curlF at P0(π/4,π,0) divF(P0)=? curlF(P0)= ?
Let F (x, y) = 2xyi + (x – 2y)j, r (t) = sin ti –...
Let F (x, y) = 2xyi + (x – 2y)j, r (t) = sin ti – 2 cos t j, 0 ≤ t ≤ π. Then C F•dr is
Suppose f is a differentiable function of x and y, and g(u, v) = f(eu +...
Suppose f is a differentiable function of x and y, and g(u, v) = f(eu + sin(v), eu + cos(v)). Use the table of values to calculate gu(0, 0) and gv(0, 0).      f     g     fx     fy     (0, 0)   0 5 1 4   (1, 2)   5 0 6 3 gu(0, 0) = gv(0, 0) =
Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i...
Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i + y cos(x 2 + y 2 − z 2 )~j − z cos(x 2 + y 2 − z 2 ) ~k be the force acting on a particle at location (x, y, z). Under this force field, the particle is moved from the point P = (1, 1, 1) to Q = (0, 0, √ π). What is the work done by...
Let f (x, y) = 100 sin(π(x−2y))/(1+x^2+y^2) . Find the directional derivative of f 1+x^2+y^2 at...
Let f (x, y) = 100 sin(π(x−2y))/(1+x^2+y^2) . Find the directional derivative of f 1+x^2+y^2 at the point (10, 6) in the direction of: (a) u = 3 i − 2 j (b) v = −i + 4 j
Consider the following. f(x, y) = x/y,    P(4, 1),    u = 3 5  i + 4 5  j...
Consider the following. f(x, y) = x/y,    P(4, 1),    u = 3 5  i + 4 5  j (a) Find the gradient of f. (b) Evaluate the gradient at the point P. (c) Find the rate of change of f at P in the direction of the vector u.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT