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Solve the formula for T. L=4 πzt+5 πz^3

Solve the formula for T. L=4 πzt+5 πz^3-example-1

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Answer:


{ \tt{L = 4\pi zt + 5\pi {z}^(2) }} \\ \\ { \tt{L = \pi z(4t + 5z)}} \\ \\ { \tt{ (L)/(\pi z) = 4t + 5z}} \\ \\ { \tt{4t = (L)/(\pi z) - 5z}} \\ \\ { \tt{t = (L)/(4\pi z) - (5z)/(4) }} \\ \\ { \boxed{ \tt{t = \frac{L - 5\pi {z}^(2) }{4\pi z} }}}

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