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Volgvan
3 years ago
6

May I know why is the answer 1/2? Any idea Thank you!

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

let's put value of t in equation.

x = 2√t

x = 2√y

x/2 = √y

(x/2)^2 = y

y = x^2 /4

now let's differentiate it with respect to x.

dy/dx = 2x/4 = x/2

differentiating again wrt to x

d^2y/dx^2 = 1/2

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Answer:

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?    

Let us convert time taken into hours as:

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\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}

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Therefore, Sebastian's average rate is 40 laps per hour.

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