(a)

The logistic model equation is .

At time , the culture weighs .

At time , the culture weighs .

The maximum weight of the culture is .

Substitute , and in .

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Substitute and in .

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Substitute and in .

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Substitute in .

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(b) Find the culture weight after .

Substitute in .

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After the weight of the culture is .

(c) When will the culture weight reaches .

Substitute in .

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(d)

The differential equation is in the form of logistic differential equation .

Substitute and in .

The differential equation is .

The initial condition is .

Step size is .

Eulers Method :

Using , , and .

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The culture weight is .

is increasing most rapidly where , corresponds to .

(a) .

(b) After the weight of the culture is .

(c) .

(d) ;.

(e) .