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Material Type: Assignment; Professor: Turner; Class: Precalculus Algebra; Subject: Mathematics; University: Cuesta College; Term: Unknown 1989;
Typology: Assignments
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Math 242 Group Problems Section 1.4-1.
(a) The values of P for which r = 0 are called equilibrium points. Estimate the equilibrium points for this population. (b) For what size populations is the growth rate negative? (c) For what population size is the growth rate at an absolute maximum? (d) For what size populations is the growth rate increasing?
(a) Estimate f (6) and f (18), and give their meaning in practical terms. (b) Which value is greater, f (2) or f (10)? (c) When is the jumper traveling faster, at t = 2 or at t = 10? (d) During what time intervals is the bungee jumper traveling upward? (e) What is happening to the jumper at the t -intercepts? (f) Estimate the global extrema of f , and explain the practical significance of each. (g) An object experiences a deceleration when its speed, which is the absolute value of the velocity, is decreasing. During the first 10 seconds, when is the bungee jumper decelerating?
a b
t (seconds)
v = f ( t )
P
r = g ( P )
x
y y = f ( x )