Recall from (14) in Section 8.3 that X = Φ(t)Φ−1(t0)X0 + Φ(t) t Φ−1(s)F(s) ds t0 solves the initial value problem X' = AX + F(t), X(t0) = X0 whenever Φ(t) is a fundamental matrix of the associated homogeneous system. Use the above to solve the given initial-value problem. X' = 6 2 2 6 X + 8e8t 8e4t , X(0) = 1 1

Abc will undergo two transformations to give aa'b'c' which pair of transformations will give a different image of aabc if the order of the transformations is reversed? a. a rotation 90' counterclockwise about the origin followed by a reflection across the y-axis b a translation 5 units down followed by a translation 4 units to the right c. a reflection across the x-axis followed by a reflection across the y-axis a rotation 180'clockwise about the ongin followed by a reflection across the y-axis reset next 2 omentum all rights reserved o atk me anything o o e