Verify that the vector X is a solution of the given system. X' = 1 0 1 1 1 0 −2 0 −1 X; X = sin(t) − 1 2 sin(t) − 1 2 cos(t) −sin(t) + cos(t) For X = sin(t) − 1 2 sin(t) − 1 2 cos(t) −sin(t) + cos(t) , one has X' = 1 0 1 1 1 0 −2 0 −1 X = .

The solution is shown in the picture attached

Step-by-step explanation:

Step-by-step explanation:

The derivative is defined as

then we say is a solution to the given system.

Verification:

Hence the vector is a solution to the given system.

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: