F(x) = x^3 + ax^2 + bx + c The roots of f(x) = 0 are 2, 3, and k.
When f(x) is divided by x - 1, the remainder is -8.
a) Find the value of k.
b) Find the remainder when f(x) is divided by x + 1.​​

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:

13cm

step-by-step explanation:

(apex)

for this case we have that by definition, the volume of a cylinder is given by:

where:

r: it's the radio

h: it's the height

we have as data that:

substituting:

so, the cylinder volume is

option d