Jessica is walking down the NYC while eating a hot dog. Her walking is making her lose calories. Her eating the hot dog is making her gain calories. The rate as which she is losing calories per minute is defined as f(t)=t^2+5. The rate at which she is gaining calories per minute is defined as g(t) =10t+50. Before her walk, she had already eaten an entire pretzel which contained 300 calories. a.) From the 0th minute to the 8th minute, approximate how many calories Jessiva has lost using LRS approximation of 4 subintervals. b.) What is the actual number of calories Jessica has lost on her 8 minute walk? c.) What is the exact number of calories Jessica has gained, eating her hotdog for 8 minutes? d.) What is the average rate of calorie loss during her walk? (Please use the average value formula) e.) At what time will Jessica have a net gain/loss of calories at 0? f.) After her 8 minute walk and taking into account the pretzel she had eaten prior, how many calories has Jessica gained/lost in total?
Jessica is walking down the NYC while eating a hot dog. Her walking is making her lose calories. Her eating the hot dog is making her gain calories. The rate as which she is losing calories per minute is defined as f(t)=t^2+5. The rate at which she is gaining calories per minute is defined as g(t) =10t+50. Before her walk, she had already eaten an entire pretzel which contained 300 calories.
a.) From the 0th minute to the 8th minute, approximate how many calories Jessiva has lost using LRS approximation of 4 subintervals.
b.) What is the actual number of calories Jessica has lost on her 8 minute walk?
c.) What is the exact number of calories Jessica has gained, eating her hotdog for 8 minutes?
d.) What is the average rate of calorie loss during her walk? (Please use the average value formula)
e.) At what time will Jessica have a net gain/loss of calories at 0?
f.) After her 8 minute walk and taking into account the pretzel she had eaten prior, how many calories has Jessica gained/lost in total?
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