Determine whether or not f is a conservative vector field. if it is, find a function f such that f = -f. if it is not, enter none. f(x, y) = (2x - 4y) i + (-4x + 10y - 5) j f(x, y) = + k

We need to have

Integrate the first PDE with respect to :

Differentiate with respect to to get

So we have

which means is indeed conservative.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

pls mark as brainliest

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents