If f is a scalar field and f, g are vector fields, then f f, f · g, and f × g are defined by the following.(f f)(x, y, z) = f(x, y, z) f(x, y, z)(f · g)(x, y, z) = f(x, y, z) · g(x, y, z)(f × g)(x, y, z) = f(x, y, z) × g(x, y, z) find an identical expression, assuming that the appropriate partial derivatives exist and are continuous.

a. curl(f f)f div f + f · ∇f
b. grad(div f) − ∇2f f
c. curl f + (∇f) × ff d
d. f + (∇f) × f
e. none of above

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

contact me if you have any questions you are welcome.

i think you forgot some signs inbetween? if so comment and i'll try to