Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
Let r = (t,t^2,t^3)
Then r' = (1, 2t, 3t^2)
General Line integral is:
The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector
Fortunately, this simplifies nicely with a 'u' substitution.
Let u = 1+4t^2 +9t^4
du = 8t + 36t^3 dt
After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
point slope form means (y-y1)=m(x-x1)
so u need to find the slope gradient from those 2 points
m=y2-y1/x2-x1
=-6-6/11-7
=-12/4
=-3
and finally x1,y1=7,6
(y-y1) =m(x-x1)
(y-6) =-3(x-7)
30,000’s place
Brainlyest please
Please
Answer:
The first option.
Step-by-step explanation:
When graphing inequalities on a number line, a solid circle indicates that the number is part of the solution, while an open circle does not count that number as part of the solution.
Drawing a line to the left of the circle means that the solution includes values less than the circled number. Drawing a line to the right means that the included values are greater than the circled number.
I hope this helped :)
