A(2, -1), B(-4, -4) HELP THIS IS ALGEBRA PLEASE HELP
1 answer:
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Answer:
B
Step-by-step explanation:
For a polynomial , the behaviour as x gets large is determined by the term of greatest degree,
f(x) = - 2 - x³ + 3
Is of even degree with a negative leading coefficient , then
f(x) → - ∞ as x → + ∞ and f(x) → - ∞ as x → - ∞
The curve 
is parameterized by
so in the line integral, we have
You are mistaken in thinking that the gradient theorem applies here. Recall that for a scalar function
, we have gradient 
. The theorem itself then says that the line integral of 
along a curve 
parameterized by 
, where 
, is given by
Specifically, in order for this theorem to even be considered in the first place, we would need to be integrating with respect to a vector field.
But this isn't the case: we're integrating
, a scalar function.
so in the line integral, we have
You are mistaken in thinking that the gradient theorem applies here. Recall that for a scalar function
Specifically, in order for this theorem to even be considered in the first place, we would need to be integrating with respect to a vector field.
But this isn't the case: we're integrating