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SashulF [63]
2 years ago
10

Group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y = ax2 about the y-a

xis. if the dish is to have a 10-ft diameter and a maximum depth of 4 ft, find the value of a and the surface area s of the dish. (round the surface area to two decimal places.)
Mathematics
1 answer:
SIZIF [17.4K]2 years ago
6 0
10' diameter and maximum depth of 4', it means that the point (5,4) is on the profile of the dish.

Fitting in the given formula,

y=ax^2 => 4=a(5^2) => a=4/25
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W(\cos2x,\sin2x)=\begin{bmatrix}\cos2x&\sin2x\\-2\cos2x&2\sin2x\end{vmatrix}=2

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