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Answer:
The given matrix is telling us that we must translate the figure one unit to the right side and one unit downside because the first row states 0 x-units and -1 y-units, the second row states 1 x-unit and 0 y-units.
The transformation of the coordinates would be
(1,-1) to (2, -2)
(2,1) to (3, 0)
(4,1) to (5, 0)
(4,-1) to (5, -2)
The image attached shows the representation of the image.
Answer:
See solutions for detail.
Step-by-step explanation:
a. is the instantaneous rate of change of volume given with respect to time, t.
The volume's rate of change is written as a function of time.
- is the rate of change in the height of water in the tank with respect to time, t.
b. is the only constant. Water flows into the constant at a constant rate, say
per minute.
c. is positive. Volume water in the take is increasing from time to time.
-The volume at time t=1 is greater than the volume at t=0, hence, it's a positive rate of change.
d. is a positive rate. The initial height of water in the tank is zero.
-The final height at time t is 0.25h. The height is increasing with time.
Hence, it is positive.