number 4 parts a b and c The symbols Vf, V.. bols vf, V az oy...

Question

Question

number 4 parts a b and c

Answer 1

Answer #1

Bare D DXF so curl = DXF = 1 i į k xy z -(x+y-3) al-(xty - 2 1 - (xsy-3)) = 2 ( 7 th 2 (3) - 2 lata pody - 4-3 - 1 2 (2)=0 dx

Answer 2

Similar Homework Help Questions

PLEASE SHOW AND EXPLAIN ALL STEPS FOR ALL 3 PARTS......I'M LOST......THANKS SO MUCH!! r 1 Given...

PLEASE SHOW AND EXPLAIN ALL STEPS FOR ALL 3 PARTS......I'M LOST......THANKS SO MUCH!! r 1 Given the vector field in space F(x, y, z) = xi + yj + zk or more conveniently, (x2 + y2 + 22)3/2 F(r) =3 = f where r = xi + yj + zk and r = = 1|r1| Vr2 + y2 + x2 (instead of p) (a) (10 pts) Find the divergence of F, that is, V.F. =V (b) (10 pts) Directly evaluate...
Let V be the solid sphere of radius a centred at the origin. Let S be...

Let V be the solid sphere of radius a centred at the origin. Let S be the surface of V oriented with outward unit normal. Consider the vector field F(x, y, z) (xi + yj + zk) (x2 + y2 + z2)3/2 (a) Evaluate the flux integral Sle F:ñ ds by direct calculation. (b) Evaluate SIL, VF DV by direct calculation. (c) Compare your answers to parts (a) and (b) and explain why Gauss' theorem does not apply.
MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, Consider Vf(x, y, z) in terms of...

MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, Consider Vf(x, y, z) in terms of a new coordinate system, x= x(u, v, w), y=y(u, v, w), z=z(u, v, w). Let r(s) = x(s) i+y(s) + z(s) k be the position vector defining some continuous path as a function of the arc length. Similarly for the other partial derivatives in v and w. For spherical coordinates the following must also be true for any points, x = Rsin o cose,...

If C is the curve given by r (t) = (1 + 4 sin t)i + (1+2 sin2t)j + (1 + 3 sin3t) k

If C is the curve given by r (t) = (1 + 4 sin t)i + (1+2 sin2t)j + (1 + 3 sin3t) k, 0≤t≤π/2 and F is the radial vector field F(x, y, z) = xi + yj + zk, compute the work done by F on a particle moving along C.
1. Let V be the solid region in R3 that lies within the sphere 2+y+z2-4, above the zy-plane, and ...

please help with Q1 and 3 1. Let V be the solid region in R3 that lies within the sphere 2+y+z2-4, above the zy-plane, and below the cone z -Vx2 + y2 (a) Sketch the region V (b) Calculate the volume of V by using spherical coordinates. (c) Find the surface area of the part of V that lies on the sphere z2 y 24, by calculatinga surface integral. (d) Verify your solution to (c) by calculating the surface integral...
b. For the above to be true, the constant term e must be related HOW to...

b. For the above to be true, the constant term e must be related HOW to the constants 0 and K ? (Write down an equation that includes all four constants.) (3 pts.) c. Show how v, the speed at which one pulse (or crest or trough, etc.) of the wave propagates, can be expressed in terms of your finding in (b). Show reasoning, not just a final answer (3 pts). w = angular frequency = number of cycles per...