Answer:
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Step-by-step explanation:
<u>Answer-</u>
<em>For </em><em>x = 2.24</em><em>, greatest possible amount of light will be admitted.</em>
<u>Solution-</u>
According to the question, the perimeter of the window is 16 ft
From the attachment,
Perimeter of the window = Perimeter of the rectangle-Width of the rectangle + Curved perimeter of the semi-circle
So,
As we have to find the value of x so that the greatest possible amount of light is admitted, so we have to calculate the maximum area for which the perimeter is 16 ft.
So,
Putting the value of y in terms of x,
Now, equating the first derivative of A to 0,
Therefore, for x= 2.24, greatest possible amount of light will be admitted.
(1,10)(-3,2)
slope = (2-10) / (-3-1) = -8/-4 = 2
y = mx + b
slope(m) = 2
(1,10)...x = 1 and y = 10
now we sub and solve for b, the y int
10 = 2(1) + b
10 = 2 + b
10 - 2 = b
8 = b
equation is : y = 2x + 8.....or 2x - y = -8