Answer:
Height: 3/2 inches
Length: 12 inches
Width: 4 inches
Step-by-step explanation:
Let x is the side length of the square
The height of the box by cutting squares off :x
- The new length of the cardboard = 15 -2x (because we cut from 4 corners)
- The new width of the cardboard = 7 -2x (because we cut from 4 corners)
The new volume of it is:
V = (15 -2x) (7 -2x) x
<=> V = 
To maximum volume, we use the first derivative of the volume
<=> 
<=> 
<=> 2x -3 = 0 or 6x -35 = 0
<=> x = 3/2 or x = 35/6
To determine which value of x gives a maximum, we evaluate
= 24x -88
= 24(3/2) -88 = -52
= 24(35/6) -88 = 52
We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.
So the dimensions (in inches) of the box is:
Height: 3/2 inches
Length: 15-2(3/2) = 12 inches
Width: 7 - 2(3/2) = 4 inches
Answer:
x = 18 degrees
Step-by-step explanation:
50 - 32 = 18
Answer:
Net Income of $6,800,000
Increase in Accounts Payable of $200,000
Decrease in Accounts Receivable of $800,000
Depreciation of $1,600,000
Increase in Inventory of $300,000
Other Adjustments from Operating Activities of $400,000
Assuming no other cash flow adjustments than those listed above, create a statement of cash flows with amounts in thousands....
Step-by-step explanation:
<h2>plz bhai mera answer ko brainliest kar do...</h2>
Each curve completes one loop over the interval
. Find the intersections of the curves within this interval.
The region of interest has an area given by the double integral
equivalent to the single integral
which evaluates to
.
f(0) means x = 0
so when x = 0, y = -5
and when x = 4, f(4) is also equal -5 (y = -5)
so f(0) = f(4) = -5
Answer
D) f(4)
