The time for a chemical reaction, T (in minutes), is a function of the amount of catalyst present, a (in milliliters), so T = f(a). (a) Suppose f(9) = 12. What are the units of 9? ---Select--- What are the units of 12? ---Select--- What does the statement f(9) = 12 tell us? O At 9 minutes, 12 milliliters of catalyst remain. O If the amount of catalyst increases by 9 milliliters, the reaction time increases by about 12 minutes. O If the amount of catalyst increases by 12 milliliters, the reaction time increases by about 9 minutes. O When 12 milliliters of catalyst are present, the reaction will take 9 minutes. O When 9 milliliters of catalyst are present, the reaction will take 12 minutes. O At 12 minutes, 9 milliliters of catalyst remain. (b) Suppose f '(9) = -3. V What are the units of 9? ---Select--- What are the units of -3? ---Select--- What does the statement f'(9) = -3 tell us? O When 3 milliliters of catalyst are present, the reaction will take 9 minutes. O If the amount of catalyst increases by 1 milliliter, the reaction time decreases by about 3 minutes when there is 9 milliliters of catalyst presen O When 9 milliliters of catalyst are present, the reaction will take 3 minutes. O At 9 minutes, 3 milliliters of catalyst remain. O At 3 minutes, 9 milliliters of catalyst remain. OmilliA

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The time for a chemical reaction, 7 (in minutes), is a function of the amount of catalyst present, a (in milliliters), so T = f(a).
(a) Suppose f(9) = 12.
What are the units of 9? ---Select---
What are the units of 12? ---Select---
What does the statement f(9) = 12 tell us?
O At 9 minutes, 12 milliliters of catalyst remain.
If the amount of catalyst increases by 9 milliliters, the reaction time increases by about 12 minutes.
If the amount of catalyst increases by 12 milliliters, the reaction time increases by about 9 minutes.
When 12 milliliters of catalyst are present, the reaction will take 9 minutes.
O When 9 milliliters of catalyst are present, the reaction will take 12 minutes.
O At 12 minutes, 9 milliliters of catalyst remain.
(b) Suppose f '(9) = -3.
What are the units of 9? |---Select---
What are the units of -3? ---Select---
What does the statement f'(9) = -3 tell us?
When 3 milliliters of catalyst are present, the reaction will take 9 minutes.
If the amount of catalyst increases by 1 milliliter, the reaction time decreases by about 3 minutes when there is 9 milliliters of catalyst present.
When 9 milliliters of catalyst are present, the reaction will take 3 minutes.
At 9 minutes, 3 milliliters of catalyst remain.
At 3 minutes, 9 milliliters of catalyst remain.
O If the amount of catalyst increases by 9 milliliters, the reaction time decreases by about 3 minutes.
Transcribed Image Text:The time for a chemical reaction, 7 (in minutes), is a function of the amount of catalyst present, a (in milliliters), so T = f(a). (a) Suppose f(9) = 12. What are the units of 9? ---Select--- What are the units of 12? ---Select--- What does the statement f(9) = 12 tell us? O At 9 minutes, 12 milliliters of catalyst remain. If the amount of catalyst increases by 9 milliliters, the reaction time increases by about 12 minutes. If the amount of catalyst increases by 12 milliliters, the reaction time increases by about 9 minutes. When 12 milliliters of catalyst are present, the reaction will take 9 minutes. O When 9 milliliters of catalyst are present, the reaction will take 12 minutes. O At 12 minutes, 9 milliliters of catalyst remain. (b) Suppose f '(9) = -3. What are the units of 9? |---Select--- What are the units of -3? ---Select--- What does the statement f'(9) = -3 tell us? When 3 milliliters of catalyst are present, the reaction will take 9 minutes. If the amount of catalyst increases by 1 milliliter, the reaction time decreases by about 3 minutes when there is 9 milliliters of catalyst present. When 9 milliliters of catalyst are present, the reaction will take 3 minutes. At 9 minutes, 3 milliliters of catalyst remain. At 3 minutes, 9 milliliters of catalyst remain. O If the amount of catalyst increases by 9 milliliters, the reaction time decreases by about 3 minutes.
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