Which is the graph of the equation y-1=- f (x-3)?
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Answer:
Slope of line is
Step-by-step explanation:
Given that the company logo has four concentric circles.
To plot the line on the graph take point as ( Diameter, Circumference )
Circumference of a circle is given by C=
Where D is the diameter.
To draw a line, we need at least two-point.
Now,
Take D=1
Circumference of a circle will be C=
Required point is (1,)
Take D=0
Circumference of a circle will be C=
Required point is (0,0)
The slope of line is given by s=
Hence,
s=
s=}{0-1}[/tex]
s=}{1}[/tex]
s=
Thus, Slope of line is
Let h = height of the box,
x = side length of the base.
Volume of the box is
.
So
Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.
![4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86](https://tex.z-dn.net/?f=%204x%20%3D%20%5Cfrac%7B460%7D%7B%20x%5E%7B2%7D%20%7D%20%20%5C%5C%20%204x%5E%7B3%7D%20%3D%20460%20%20%5C%5C%20x%5E%7B3%7D%20%3D%20115%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B115%7D%20%3D%204.86%20)
Then
So the box is 4.86 in. wide and 4.87 in. high.
x = side length of the base.
Volume of the box is
So
Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.
Then
So the box is 4.86 in. wide and 4.87 in. high.