A curve has equation y = 20x −x^2 −2x^3 . Find its stationary point(s).

Differentiate the equation.Let the derivative equal to 0 and get x.Substitute the value of x into the original equation to get y.

RL

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At t seconds, the temp. of the water is θ°C. The rate of increase of the temp. of the water at any time t is modelled by the D.E. dθ/dt=λ(120-θ), θ<=100 where λ is a pos. const. Given θ=20 at t=0, solve this D.E. to show that θ=120-100e^(-λt)