Let Si be the upper half of the unit sphere oriented upwards and let S2 be the lower half of the unit sphere also oriented upwards. Suppose that F is a differentiable vector field for which div F is constantly equal to 2.
For which of the following expressions can you determine the exact value just based on the given information?
a. ols, F. ds
b. Ols, F. dS + Ws, F.ds
c. Ws, F. ds
d. olls, F. dS – ls, F.ds

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation:

it is a secret for it not to be compromised sorry

step-by-step explanation:

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.