Question: Let b = 1 , and graph C = a t e - b t using different values for a . Explain the effect of

Let

b = 1,

and graph

C = a t e^{- b t}

using different values for

a .

Explain the effect of the parameter

a .

a

is positive, the "hump" is below the

t -

axis. If

a

is negative, the "hump" is above the

t -

axis. If

a > 0,

a larger value of a will produce a larger minimum value of

C .

a 0,

a more negative value of a will produce a smaller maximum value of

C .

a

is positive, the "hump" is below the

t -

axis. If

a

is negative, the "hump" is above the

t -

axis. If

a > 0,

a larger value of a will produce a smaller minimum value of

C .

a 0,

a more negative value of a will produce a larger maximum vallue of

C .

a

is positive, the "hump" is above the

t -

axis. If

a

is negative, the "hump" is below the

t -

axis. If

a > 0,

a larger value of a will produce a smaller minimum value of

C .

a 0,

a more negative value of a will produce a larger maximum value of

C .

a

is positive, the "hump" is below the

t -

axis. If

a

is negative, the "hump" is above the

t -

axis. If

a > 0,

a larger value of a will produce a larger maximum value of

C .

a 0,

a more negative value of a will produce a smaller minimum value of

C .

a

is positive, the "hump" is above the

t -

axis. If

a

is negative, the "hump" is below the

t -

axis. If

a > 0,

a larger value of a will produce a larger maximum value of

C .

a 0,

a more negative value of a will produce a smaller minimum value of

C .

Let b = 1 , and graph C = a t e - b t using

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