SOLUTION: Help me solve the problem The rate of change of a quantity u with respect to t is du/dt = pt + c, p and c being constants. find u in terms of t given that the quantity has a max

Question 1056385: Help me solve the problem
The rate of change of a quantity u with respect to t is du/dt = pt + c, p and c being constants. find u in terms of t given that the quantity has a maximum value of 5.5 when t=1 and that its rate of change when t=2 is -3
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

where is a constant.
.
.
.
In vertex form,

Comparing terms,

.
.
.
Using the rate of change,

So then,

and

So,

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