PLEASE HELP I ONLY HAVE AN HOUR
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to
we have
---> the radius is half the diameter
substitute
step 2
Find the volume of the cone
The volume of the cone is equal to
we have
we have
---> the radius is the same that the radius of the cylinder
substitute
step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so
assume
Answer:
A. lim [x ⇒ -∞] g(x) = -5 . . . . . . written in text form, not typeset
Step-by-step explanation:
A horizontal asymptote is a line that the function approaches but never reaches. It represents the limiting value that the function can have. (The function can come as close to that value as you like for some value of x, but can never actually reach that value.)
Here, you're told the asymptote for negative x values is -5. That means g(x) gets closer and closer to -5 for values of x that are more and more negative. That is, as x approaches infinity, g(x) approaches -5. We say -5 is the limit of g(x) as x approaches negative infinity.
___
The attached graph shows a function that has characteristics like those of g(x).
___
This question is about vocabulary: what is the meaning of "asymptote" and "limit", and how do you read a description of a limit written using math language.
