2 years ago

The vertex of a function is (-3, 0) and is a minimum. What is the axis of symmetry and how is it determined?

Mathematics

1 answer:

nalin [4]2 years ago

5 0

The axis of symmetry would be -3 because it is always the (x) of the vertex

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By applying the concept of calculus;

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$I_{corner} = \int\limits \int\limits_R (x^2+y^2) \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx$

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$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Thus; the moment of inertia of the lamina about one corner is $I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

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