1. Use Stokes’ Theorem to evaluate ∬ curF⃗ ∙ dS⃗ S where F⃗ = x 3 i⃗ + (4y − z 3y 3 )j⃗ + 2xk⃗⃗ and S is the portion of z = x 2 + y 2 − 3 below z = 1 with orientation in the negative z-axis direction. 2. Use Stokes’ Theorem to evaluate ∬ curF⃗ ∙ dS⃗ S where F⃗ = 2yi⃗ + 3xj⃗ + (z − x)k⃗⃗ and S is the portion of y = 11 − 3x 2 − 3z 2 in front of y = 5 with orientation in the positive y-axis direction. 3. Use Stokes’ Theorem to evaluate ∫ F⃗ ∙ dr⃗ C where F⃗ = (zx 3 − 3z)i⃗ + xzj⃗ + yxk⃗⃗ and C is the triangle with vertices (0,0,4), (0,2,0), and (2,0,0). C has the orientation seen in the sketch below.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

the diver is 33 feet below the surface.

step-by-step explanation:

hope this

1 ?

step-by-step explanation:

u said 1+1+1+1+1+1+1+1+1+1+1+1*0 so ur adding 1 but then multiplying by 0 so its 0 but then u said 1*0+1 so now ur adding 1 so the answer is juan ?

~leah