The concavity of a function is described by its second derivative.
-The expression will not directly tell us whether the function is concave up or concave down and where it changes, though graphing the function may give us some sort of idea.
-The first derivative tells us the critical/important values (where there could be asymptotes), as well as where the function is increasing/decreasing.
-The second derivative tells us again the critical/important values, but also where the function is concave up/down. We find concavity in the same way we find increasing/decreasing using the first derivative.
-The third derivative, at least in my experience, has only been used to find acceleration of a function.
Hope this helps!! :)
Answer:
To find the slope you find the change in y axis and divide by the change in x
ie
(y-4 ) ÷ (x-3)
Answer:
look below
Step-by-step explanation:
Slope intercept is y=mx+b
first we need to do this
-11 - 1
--------
3 - (-)3
a negative - a negative is just adding so really its
-11 - 1
-----------
3 + 3
this gets you -12/6
-12/6 is -2 which means are slope is -2
now we have
y=2x+b but now we need to find b
We replace y with a y from the prob and the x with an x for the problem
so lets use -3,1
so now we have
1 = 2(-3) + b
2x-3 is -6
We need to get to one so we need to do + 7 which means b = 7
so the equation is y=2x+7
Answer:
The number of rosebushes the owner of the a greenhouse and nursery plans to grow every year is 1,600.
Step-by-step explanation:
It is provided that the owner of the a greenhouse and nursery has land available to grow 3000 and 2000 rosebushes every year.
She claims to be 80% efficient in the use of the land available.
She is considering to spend $6000 to acquire the licensing rights to grow a new variety of rosebush.
The variable cost will be $3 and she will sell the rosebushes for $6 each.
The formula to compute the number of rosebushes she plans to grow every year is,
Number of rosebushes = Effective Capacity × Efficiency
Thus, the number of rosebushes the owner of the a greenhouse and nursery plans to grow every year is 1,600.
