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at time t 0 a seed is planted after t weeks the height of the plant is given by f t 0 3t 0 6t 0 5inches at what rate is th

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At time t=0,a seed is planted.After T weeks, the height of the plant is given by F(t)=0.3t²+0.6t+0.5inches. At what rate is the plant growing after 8 weeks

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Answer to a math question At time t=0,a seed is planted.After T weeks, the height of the plant is given by F(t)=0.3t²+0.6t+0.5inches. At what rate is the plant growing after 8 weeks

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Rate\:of\:plant\:growing\:=\:\frac{\differentialD F\left(t\right)}{\differentialD t}

\Rightarrow\frac{\differentialD F\left(t\right)}{\differentialD t}=\frac{\differentialD\left(0.3t^2+0.6t+0.5\right)}{\differentialD t}=0.6t+0.6

Given\:T=\:8\:weeks.

Substituting\:this\:in\:the\:rate\:equation,we\:get

\Rightarrow0.6\left(8\right)+0.6=5.4

therefore\:,Rate\:after\:8\:weeks\:=\:5.4

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