Question 37 (i) - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 14, 2026 by Teachoo

A medicinal drug administered into a human body requires some time to produce its effect on the body. The amount (in mg) of a certain medicinal drug in the bloodstream at t hours after administering the drug to an individual is given by the function:

C(t)=t3+4.5t2+54t, 0<t<10

Shown below is the graph of C(t) in the interval [0, 10].

Find the rate at which the amount of drug is changing in the bloodstream at 5 hours after administering the drug. Show your work.

[Case Based] A medicinal drug administered into a human body requires - Practice Questions CBSE - Maths Class 12 (2023 Boards)

part 2 - Question 37 (i) - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Transcript

A medicinal drug administered into a human body requires some time to produce its effect on the body. The amount (in mg) of a certain medicinal drug in the bloodstream at t hours after administering the drug to an individual is given by the function: C(𝑡)=𝑡3+4.5𝑡2+54𝑡, 0<𝑡<10 Shown below is the graph of C(t) in the interval [0, 10].

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