The differential equation y+y2=(y5+x)y′ can be written in differential form: M(x, y)dx+N(x, y)dy=0 where M(x, y)= , and N(x, y)= . The term M(x, y)dx+N(x, y)dy becomes an exact differential if the left hand side above is divided by y2. Integrating that new equation, the solution of the differential equation is =C.

answer: 1 and 3

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

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hand, ambitous, ace, genius.

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees