1.10.3 Applications of differentiation

Question 7

The concentration, $C$ , of a reactant in a non-isothermal chemical process is modeled by the function $\phi(t)$ , where $t$ is the time in seconds. It is known that the graph of $C$ against $t$ has a point of inflection at $t = 12$ . Given that $ϕ′(12)=a\phi'(12) = a$ and $ϕ′′(12)=b\phi''(12) = b$ , where $a$ and $b$ are constants,

identify which of the following statements must be true:

\phi'(12) = 0

\phi''(12) = 0

\phi'(12) \neq 0

\phi''(12) > 0

[1]

1.10.3 Applications of differentiation

1 2 3 4 5 6 7

Question 7

The concentration, $C$ , of a reactant in a non-isothermal chemical process is modeled by the function $\phi(t)$ , where $t$ is the time in seconds. It is known that the graph of $C$ against $t$ has a point of inflection at $t = 12$ . Given that $ϕ′(12)=a\phi'(12) = a$ and $ϕ′′(12)=b\phi''(12) = b$ , where $a$ and $b$ are constants,

identify which of the following statements must be true:

\phi'(12) = 0

\phi''(12) = 0

\phi'(12) \neq 0

\phi''(12) > 0

[1]

1.10.3 Applications of differentiation

Question 7

1.10.3 Applications of differentiation Questions

1.10.3 Applications of differentiation

Question 7

1.10.3 Applications of differentiation Questions