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scoundrel [369]
3 years ago
15

What is the inverse of the given relation? Y=7x^2+4

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

follow these steps:

1) y-4=7x^2

2) (y-4)/7 = x^2

x = \sqrt{ \frac{y - 4}{7} }

so you must inverse x and y names:

{f}^{ - 1} (x) = \sqrt{ \frac{x - 4}{7} }

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2\ cm

Step-by-step explanation:

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As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel

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