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In this exercise, find the values of the unknown constants so that the indicated conditions...

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Basic Math

In this exercise, find the values of the unknown constants so that the indicated conditions are met for each function:

(a) f(t) = At2 + B; given f(0) = 2 and f(?2) = ?10.

(b) f(t) = Ct3 + D; given f(0) = ?5 and f(3) = 49.

(c) f(t) = A t 2 + B , given f(0) = 3 and f(?2) = 1.5

(d) f(t) = A t + B , given f(2) = 0.4 and f(8) = 1

(e) f(t) = a + b · 2 t , given f(0) = 6 and f(2) = 21

(f) f(t) = b t + a, f(1) = 6 and f(2) = 12

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