Consider a curve of the form y(t) = at + b t , with a local minimum at (3, 12) . (a) given only (3, 12) tells us that (i) y(12) = 3 (ii) y(12) = 0 (iii) y(3) = 12 (iv) y(3) = 0
given that (3, 12) is also a local minimum tells us that (i) y '(3) = 12 (ii) y '(3) = 0 (iii) y '(12) = 0 (iv) y '(12) = 3
(b) find y '(t) = a−bt^−2
(c) now find the exact values of a and b that satisfy the conditions in part (a).