**Question (b):*****Suppose you find that \( y(t_f) < z(t_f) \). What must have been true about the growth rate on some subinterval contained in \([t_i, t_f]\)? Explain what this means in terms of the context attached to these mathematical objects.*** **Understanding Net Change and Population Growth Rates**Let \( t_i < t_f \). Suppose an unknown \( y(t) \) represents a population where \( t_i \leq t \leq t_f \), and that its derivative \( y'(t) \) is known.(a) State the net change theorem to obtain an expression for an unknown \( y(t_f) \) in terms of the known \( y(t_i) \) and its growth rate \( y'(t) \). Do not evaluate the integral.Graphs or diagrams: The image does not contain any graphs or diagrams. This material can be used to teach students how to apply the net change theorem in calculus to determine the population at a future time given its growth rate and initial population.

Name: **Question (b):*****Suppose you find that \( y(t_f) < z(t_f) \). What
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: **Question (b):*****Suppose you find that \( y(t_f) < z(t_f) \). What must have been true about the growth rate on some subinterval contained in \([t_i, t_f]\)? Explain what this means in terms of the context attached to these mathematical objects.*