Answer:

Step-by-step explanation:
We are asked to find the tangent line approximation for
near
.
We will use linear approximation formula for a tangent line
of a function
at
to solve our given problem.

Let us find value of function at
as:

Now, we will find derivative of given function as:




Let us find derivative at 

Upon substituting our given values in linear approximation formula, we will get:


Therefore, our required tangent line for approximation would be
.
Answer:
1) 500 2) $ 1000 debt 3) $350 4) $2500 debt
Step-by-step explanation:
profit = .5x -250
1) O = .5x -250
250 = .5x
500 = x number to break even
2) f(900) = .5 (900) -250 = $200
from the graph g(200) = total debt = $1000
3) f(x) = -75 = .5x-250 results in x = $ 350
4) f(500) = .5(500) - 250 = 0
from the graph, this corresponds to total debt g (f(500) = $2500 debt
Answer:
answer is 2.
Step-by-step explanation:
Answer:
B) y = 5x
Step-by-step explanation:
We need to find the slope
m = (y2-y1) /(x2-x1)
We have 2 points (0,0) and (6,30)
m = (30-0)/(6-0)
= 30/6
=5
The slope is5
y = mx+b
The y intercept is 0
y = 5x+0
y = 5x
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