Consider the following region r and the vector field f.

a. compute the two-dimensional curl of the vector field

b. evaluate both integrals in the circulation form of green's theorem and check for consistency.

c. state whether the vector field is conservative.

f = < 3y,-3x> ; r is the region bounded by y = sin x and y =0 for 0 \leq x \leq \pi

u what ?

step-by-step explanation:

asdasdsad

step-by-step explanation:

answer: x=60

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb