Solve the problem. The radial flow field of an incompressible fluid is shown below. For which of the closed paths is the circulation not necessarily zero B A O C only O A, B, and C Onone of these A and B only

Let F = (az +by+2z, z+cz, 5y+ma) where a, b, c, m are constants. (a) Suppose the flux of through any closed surface is zero. Which of the constants can be determined? Select all that apply. A. The constant a B. The constant b C. The constant c D. The constant m (b) Suppose instead that the circulation around any closed curve is zero. Then b= C= 771==

A certain radioactive substance has a half-life of 3.6 years. Find how long it takes (in years) for the substance to decompose to 10% of its initial amount.

CURRENT OBJECTIVE Use the flux form of Green's Theorem Question Let C be the circle centered at the origin with radius 4 oriented clockwise, and let F(x, y) = Flux = (2x+3y² + y − 6, −3x³ + 2x − 4y − 6). Calculate the flux of F(x, y) across C. Enter an exact answer. Provide your answer below:

Evaluate F-dS, that is, find the flux of F across S. Flx, y, z)=-zi+ 2yj-4xk; S is the hemisphere z=V 16-x-y; n points upward. O 256z O 256 O 128 O 256

SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Through the point P(-2,-7) tangents are drawn to the ellipse 2x² + y² + 2x-3y - 2 = 0; determine the equations of the tangents and the points of tangency +