What is the mathmatical definition of decomposing
2 answers:
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Answer:
Step-by-step explanation:
Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola
This parabola has vertex at (0,100) and symmetrical about y axis.
Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.
Hence coordinates of any rectangle are
Length of rectangle = 2a and width =
Area of rectangle = lw =
To find max area, use derivative test.
Hence maxima when first derivative =0
i.e. when a =2
Thus we find dimensions of the rectangle are l =4 and w = 96
Maximum area =
<u>Given</u>:
Given that the radius of the cylinder is 4 cm.
The height of the cylinder is 9 cm.
We need to determine the volume of the cylinder.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,
where r is the radius and h is the height of the cylinder.
Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;
Thus, the volume of the cylinder is 452.16 cm³
Hence, Option B is the correct answer.