Answer:
x = 5
Step-by-step explanation:
We have,
.....(1)
It is required to find x when the value of f(x) = 6
Put f(x) = 6 in equation (1) such that we get :
The value of x is 5 if f(x) = 6.
A quality control technician checked a sample of 30 bulbs. Two of the bulbs were defective. If the sample was representative, fi
1 answer:
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Answer:
1.82 inches
Step-by-step explanation:
Let the size of square piece cut from the corner is d.
So, the length of the box is 15 - 2y
width of the box is 9 - 2y
height of the box is d.
Volume of the box
Volume = length x width x height
V = (15 - 2y)(9 - 2y)y
V = 4y³ - 48y² + 135y
Differentiate with respect to y.
It is equal to zero for maxima and minima
So, y = 1.82 in or 6.2 in
Now
For y = 1.82 in, it is negative
and for y = 6.2 in, it is positive
So, the volume of the box is maximum if the height of the box is 1.82 inch.
Thus, the size of the square cut from each of the corner is 1.82 inches.