iting factor in athletic endurance in cardia output, that is, the volume of blood that the heart can pump per unit of time during an athletic competition. Following Table shows a stress-test graph of cardiac output V in letres (L) of blood versus workload W in kilogram- meters (kg. m) for 1 minute of weight lifting.  V 0 300 600  900  1200 1500 W 0 13 18 20  19 15         The data illustrates the kn

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5. The limiting factor in athletic endurance in cardia output, that is, the volume of blood that
the heart can pump per unit of time during an athletic competition. Following Table shows

a stress-test graph of cardiac output V in letres (L) of blood versus workload W in kilogram-
meters (kg. m) for 1 minute of weight lifting. 

V 0 300 600  900  1200 1500
W 0 13 18 20  19 15

    
  
The data illustrates the known medical fact that cardia output increases with the workload,
but after reaching a peak value begins to decrease.
(a) Estimate the average rate of change of cardiac output with respect to workload
increases in the following cases:
(i) from 300 to 1200 kg. m
(ii) from 600 to 1200 kg. m
(iii) from 900 to 1500 kg. m
(b) Estimate the instantaneous rate of change of cardia output with respect to workload at
the point where the workload is as given in the following cases.
(i) W = 300 kg. m
(ii) W = 900 kg. m

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