Chapter 2.6, Problem 7E

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10th Edition

Soo T. Tan

ISBN: 9781285464640

Textbook Problem

**Effect of a Bactericide on Bacteria** In the following figure, *f*(*t*) gives the population *P*_{1} of a certain bacteria culture at time *t* after a portion of Bactericide *A* was introduced into the population at *t* = 0. The graph of *g* gives the population *P*_{2} of a similar bacteria culture at time *t* after a portion of Bactericide *B* was introduced into the population at *t* = 0.

**a.**Which population is decreasing faster at*t*_{1}?**b.**Which population is decreasing faster at*t*_{2}?**c.**Which bactericide is more effective in reducing the population of bacteria in the short run? In the long run?

(a)

To determine

The population which decreases faster at

Explanation

**Given information:**

The bacteria population
*A* and population
*B*.

Figure (1)

**Calculation:**

From Figure (1), it is noticed that the *x* and *y*-axis represent the time and population of bacteria respectively. The blue and pink curve represents the population
*A* and Bactericide *B* respectively.

Since the rate of change of population represent the rate of increase and rate of decrease in the population, therefore the slopes of the tangent line at any point shows the increasing or decreasing rate at that point of time.

Draw the tangent lines on the curves

(b)

To determine

The population which decreases faster at

(c)

To determine

The bactericide which is more effective in short run and the bactericide that is more effective in long run.

Sect-2.1 P-1CQSect-2.1 P-2CQSect-2.1 P-3CQSect-2.1 P-4CQSect-2.1 P-1ESect-2.1 P-2ESect-2.1 P-3ESect-2.1 P-4ESect-2.1 P-5ESect-2.1 P-6E

Sect-2.1 P-7ESect-2.1 P-8ESect-2.1 P-9ESect-2.1 P-10ESect-2.1 P-11ESect-2.1 P-12ESect-2.1 P-13ESect-2.1 P-14ESect-2.1 P-15ESect-2.1 P-16ESect-2.1 P-17ESect-2.1 P-18ESect-2.1 P-19ESect-2.1 P-20ESect-2.1 P-21ESect-2.1 P-22ESect-2.1 P-23ESect-2.1 P-24ESect-2.1 P-25ESect-2.1 P-26ESect-2.1 P-27ESect-2.1 P-28ESect-2.1 P-29ESect-2.1 P-30ESect-2.1 P-31ESect-2.1 P-32ESect-2.1 P-33ESect-2.1 P-34ESect-2.1 P-35ESect-2.1 P-36ESect-2.1 P-37ESect-2.1 P-38ESect-2.1 P-39ESect-2.1 P-40ESect-2.1 P-41ESect-2.1 P-42ESect-2.1 P-43ESect-2.1 P-44ESect-2.1 P-45ESect-2.1 P-46ESect-2.1 P-47ESect-2.1 P-48ESect-2.1 P-49ESect-2.1 P-50ESect-2.1 P-51ESect-2.1 P-52ESect-2.1 P-53ESect-2.1 P-54ESect-2.1 P-55ESect-2.1 P-56ESect-2.1 P-57ESect-2.1 P-58ESect-2.1 P-59ESect-2.1 P-60ESect-2.1 P-61ESect-2.1 P-62ESect-2.1 P-63ESect-2.1 P-64ESect-2.1 P-65ESect-2.1 P-66ESect-2.1 P-67ESect-2.1 P-68ESect-2.1 P-69ESect-2.1 P-71ESect-2.1 P-72ESect-2.1 P-73ESect-2.1 P-74ESect-2.1 P-75ESect-2.1 P-76ESect-2.1 P-77ESect-2.1 P-78ESect-2.1 P-79ESect-2.1 P-80ESect-2.1 P-81ESect-2.1 P-82ESect-2.1 P-83ESect-2.1 P-84ESect-2.1 P-85ESect-2.1 P-86ESect-2.1 P-87ESect-2.1 P-88ESect-2.1 P-89ESect-2.1 P-90ESect-2.1 P-91ESect-2.1 P-92ESect-2.1 P-93ESect-2.1 P-94ESect-2.1 P-95ESect-2.1 P-96ESect-2.1 P-97ESect-2.1 P-98ESect-2.1 P-1TESect-2.1 P-2TESect-2.1 P-3TESect-2.1 P-4TESect-2.1 P-5TESect-2.1 P-6TESect-2.1 P-7TESect-2.1 P-8TESect-2.1 P-9TESect-2.1 P-10TESect-2.1 P-11TESect-2.1 P-12TESect-2.1 P-13TESect-2.1 P-14TESect-2.1 P-15TESect-2.2 P-1CQSect-2.2 P-2CQSect-2.2 P-3CQSect-2.2 P-4CQSect-2.2 P-5CQSect-2.2 P-6CQSect-2.2 P-1ESect-2.2 P-2ESect-2.2 P-3ESect-2.2 P-4ESect-2.2 P-5ESect-2.2 P-6ESect-2.2 P-7ESect-2.2 P-8ESect-2.2 P-9ESect-2.2 P-10ESect-2.2 P-11ESect-2.2 P-12ESect-2.2 P-13ESect-2.2 P-14ESect-2.2 P-15ESect-2.2 P-16ESect-2.2 P-17ESect-2.2 P-18ESect-2.2 P-19ESect-2.2 P-20ESect-2.2 P-21ESect-2.2 P-22ESect-2.2 P-23ESect-2.2 P-24ESect-2.2 P-25ESect-2.2 P-26ESect-2.2 P-27ESect-2.2 P-28ESect-2.2 P-29ESect-2.2 P-30ESect-2.2 P-31ESect-2.2 P-32ESect-2.2 P-33ESect-2.2 P-34ESect-2.2 P-35ESect-2.2 P-36ESect-2.2 P-37ESect-2.2 P-38ESect-2.2 P-39ESect-2.2 P-40ESect-2.2 P-41ESect-2.2 P-42ESect-2.2 P-43ESect-2.2 P-44ESect-2.2 P-45ESect-2.2 P-46ESect-2.2 P-47ESect-2.2 P-48ESect-2.2 P-49ESect-2.2 P-50ESect-2.2 P-51ESect-2.2 P-52ESect-2.2 P-53ESect-2.2 P-54ESect-2.2 P-55ESect-2.2 P-56ESect-2.2 P-57ESect-2.2 P-58ESect-2.2 P-59ESect-2.2 P-60ESect-2.2 P-61ESect-2.2 P-62ESect-2.2 P-63ESect-2.2 P-64ESect-2.2 P-65ESect-2.2 P-66ESect-2.2 P-67ESect-2.2 P-68ESect-2.2 P-69ESect-2.2 P-70ESect-2.2 P-71ESect-2.2 P-72ESect-2.2 P-73ESect-2.2 P-74ESect-2.2 P-75ESect-2.2 P-76ESect-2.2 P-77ESect-2.2 P-78ESect-2.3 P-1CQSect-2.3 P-2CQSect-2.3 P-3CQSect-2.3 P-1ESect-2.3 P-2ESect-2.3 P-3ESect-2.3 P-4ESect-2.3 P-5ESect-2.3 P-6ESect-2.3 P-7ESect-2.3 P-8ESect-2.3 P-9ESect-2.3 P-10ESect-2.3 P-11ESect-2.3 P-12ESect-2.3 P-13ESect-2.3 P-14ESect-2.3 P-15ESect-2.3 P-16ESect-2.3 P-17ESect-2.3 P-18ESect-2.3 P-19ESect-2.3 P-20ESect-2.3 P-21ESect-2.3 P-22ESect-2.3 P-23ESect-2.3 P-24ESect-2.3 P-25ESect-2.3 P-26ESect-2.3 P-27ESect-2.3 P-28ESect-2.3 P-29ESect-2.3 P-30ESect-2.3 P-31ESect-2.3 P-32ESect-2.3 P-33ESect-2.3 P-34ESect-2.3 P-35ESect-2.3 P-36ESect-2.3 P-37ESect-2.3 P-38ESect-2.3 P-39ESect-2.3 P-40ESect-2.3 P-41ESect-2.3 P-42ESect-2.3 P-43ESect-2.3 P-44ESect-2.3 P-45ESect-2.3 P-46ESect-2.3 P-47ESect-2.3 P-48ESect-2.3 P-49ESect-2.3 P-50ESect-2.3 P-51ESect-2.3 P-52ESect-2.3 P-53ESect-2.3 P-54ESect-2.3 P-55ESect-2.3 P-56ESect-2.3 P-57ESect-2.3 P-58ESect-2.3 P-59ESect-2.3 P-60ESect-2.3 P-61ESect-2.3 P-62ESect-2.3 P-63ESect-2.3 P-64ESect-2.3 P-65ESect-2.3 P-66ESect-2.3 P-67ESect-2.3 P-68ESect-2.3 P-69ESect-2.3 P-70ESect-2.3 P-71ESect-2.3 P-72ESect-2.3 P-73ESect-2.3 P-74ESect-2.3 P-75ESect-2.3 P-76ESect-2.3 P-77ESect-2.3 P-78ESect-2.3 P-79ESect-2.3 P-80ESect-2.3 P-81ESect-2.3 P-82ESect-2.3 P-83ESect-2.3 P-84ESect-2.3 P-85ESect-2.3 P-86ESect-2.3 P-87ESect-2.3 P-88ESect-2.3 P-1TESect-2.3 P-2TESect-2.3 P-3TESect-2.3 P-4TESect-2.3 P-5TESect-2.3 P-6TESect-2.3 P-7TESect-2.3 P-8TESect-2.3 P-9TESect-2.3 P-10TESect-2.3 P-11TESect-2.3 P-12TESect-2.3 P-13TESect-2.3 P-14TESect-2.3 P-15TESect-2.3 P-16TESect-2.3 P-17TESect-2.3 P-18TESect-2.3 P-19TESect-2.3 P-20TESect-2.4 P-1CQSect-2.4 P-2CQSect-2.4 P-3CQSect-2.4 P-4CQSect-2.4 P-5CQSect-2.4 P-1ESect-2.4 P-2ESect-2.4 P-3ESect-2.4 P-4ESect-2.4 P-5ESect-2.4 P-6ESect-2.4 P-7ESect-2.4 P-8ESect-2.4 P-9ESect-2.4 P-10ESect-2.4 P-11ESect-2.4 P-12ESect-2.4 P-13ESect-2.4 P-14ESect-2.4 P-15ESect-2.4 P-16ESect-2.4 P-17ESect-2.4 P-18ESect-2.4 P-19ESect-2.4 P-20ESect-2.4 P-21ESect-2.4 P-22ESect-2.4 P-23ESect-2.4 P-24ESect-2.4 P-25ESect-2.4 P-26ESect-2.4 P-27ESect-2.4 P-28ESect-2.4 P-29ESect-2.4 P-30ESect-2.4 P-31ESect-2.4 P-32ESect-2.4 P-33ESect-2.4 P-34ESect-2.4 P-35ESect-2.4 P-36ESect-2.4 P-37ESect-2.4 P-38ESect-2.4 P-39ESect-2.4 P-40ESect-2.4 P-41ESect-2.4 P-42ESect-2.4 P-43ESect-2.4 P-44ESect-2.4 P-45ESect-2.4 P-46ESect-2.4 P-47ESect-2.4 P-48ESect-2.4 P-49ESect-2.4 P-50ESect-2.4 P-51ESect-2.4 P-52ESect-2.4 P-53ESect-2.4 P-54ESect-2.4 P-55ESect-2.4 P-56ESect-2.4 P-57ESect-2.4 P-58ESect-2.4 P-59ESect-2.4 P-60ESect-2.4 P-61ESect-2.4 P-62ESect-2.4 P-63ESect-2.4 P-64ESect-2.4 P-65ESect-2.4 P-66ESect-2.4 P-67ESect-2.4 P-68ESect-2.4 P-69ESect-2.4 P-70ESect-2.4 P-71ESect-2.4 P-72ESect-2.4 P-73ESect-2.4 P-74ESect-2.4 P-75ESect-2.4 P-76ESect-2.4 P-77ESect-2.4 P-78ESect-2.4 P-79ESect-2.4 P-80ESect-2.4 P-81ESect-2.4 P-82ESect-2.4 P-83ESect-2.4 P-84ESect-2.4 P-85ESect-2.4 P-86ESect-2.4 P-87ESect-2.4 P-88ESect-2.4 P-89ESect-2.4 P-90ESect-2.4 P-91ESect-2.4 P-92ESect-2.4 P-93ESect-2.4 P-94ESect-2.4 P-95ESect-2.4 P-96ESect-2.4 P-97ESect-2.4 P-98ESect-2.4 P-1TESect-2.4 P-2TESect-2.4 P-3TESect-2.4 P-4TESect-2.4 P-5TESect-2.4 P-6TESect-2.4 P-7TESect-2.4 P-8TESect-2.4 P-9TESect-2.4 P-10TESect-2.4 P-11TESect-2.4 P-12TESect-2.5 P-1CQSect-2.5 P-2CQSect-2.5 P-3CQSect-2.5 P-4CQSect-2.5 P-5CQSect-2.5 P-6CQSect-2.5 P-1ESect-2.5 P-2ESect-2.5 P-3ESect-2.5 P-4ESect-2.5 P-5ESect-2.5 P-6ESect-2.5 P-7ESect-2.5 P-8ESect-2.5 P-9ESect-2.5 P-10ESect-2.5 P-11ESect-2.5 P-12ESect-2.5 P-13ESect-2.5 P-14ESect-2.5 P-15ESect-2.5 P-16ESect-2.5 P-17ESect-2.5 P-18ESect-2.5 P-19ESect-2.5 P-20ESect-2.5 P-21ESect-2.5 P-22ESect-2.5 P-23ESect-2.5 P-24ESect-2.5 P-25ESect-2.5 P-26ESect-2.5 P-27ESect-2.5 P-28ESect-2.5 P-29ESect-2.5 P-30ESect-2.5 P-31ESect-2.5 P-32ESect-2.5 P-33ESect-2.5 P-34ESect-2.5 P-35ESect-2.5 P-36ESect-2.5 P-37ESect-2.5 P-38ESect-2.5 P-39ESect-2.5 P-40ESect-2.5 P-41ESect-2.5 P-42ESect-2.5 P-43ESect-2.5 P-44ESect-2.5 P-45ESect-2.5 P-46ESect-2.5 P-47ESect-2.5 P-48ESect-2.5 P-49ESect-2.5 P-50ESect-2.5 P-51ESect-2.5 P-52ESect-2.5 P-53ESect-2.5 P-54ESect-2.5 P-55ESect-2.5 P-56ESect-2.5 P-57ESect-2.5 P-58ESect-2.5 P-59ESect-2.5 P-60ESect-2.5 P-61ESect-2.5 P-62ESect-2.5 P-63ESect-2.5 P-64ESect-2.5 P-65ESect-2.5 P-66ESect-2.5 P-67ESect-2.5 P-68ESect-2.5 P-69ESect-2.5 P-70ESect-2.5 P-71ESect-2.5 P-72ESect-2.5 P-73ESect-2.5 P-74ESect-2.5 P-75ESect-2.5 P-76ESect-2.5 P-77ESect-2.5 P-78ESect-2.5 P-79ESect-2.5 P-80ESect-2.5 P-81ESect-2.5 P-82ESect-2.5 P-83ESect-2.5 P-84ESect-2.5 P-85ESect-2.5 P-86ESect-2.5 P-87ESect-2.5 P-88ESect-2.5 P-89ESect-2.5 P-90ESect-2.5 P-91ESect-2.5 P-92ESect-2.5 P-93ESect-2.5 P-94ESect-2.5 P-95ESect-2.5 P-96ESect-2.5 P-97ESect-2.5 P-98ESect-2.5 P-99ESect-2.5 P-100ESect-2.5 P-101ESect-2.5 P-102ESect-2.5 P-1TESect-2.5 P-2TESect-2.5 P-3TESect-2.5 P-4TESect-2.5 P-5TESect-2.5 P-6TESect-2.5 P-7TESect-2.5 P-8TESect-2.5 P-9TESect-2.5 P-10TESect-2.5 P-11TESect-2.5 P-12TESect-2.6 P-1CQSect-2.6 P-2CQSect-2.6 P-3CQSect-2.6 P-4CQSect-2.6 P-5CQSect-2.6 P-6CQSect-2.6 P-1ESect-2.6 P-2ESect-2.6 P-3ESect-2.6 P-4ESect-2.6 P-5ESect-2.6 P-6ESect-2.6 P-7ESect-2.6 P-8ESect-2.6 P-9ESect-2.6 P-10ESect-2.6 P-11ESect-2.6 P-12ESect-2.6 P-13ESect-2.6 P-14ESect-2.6 P-15ESect-2.6 P-16ESect-2.6 P-17ESect-2.6 P-18ESect-2.6 P-19ESect-2.6 P-20ESect-2.6 P-21ESect-2.6 P-22ESect-2.6 P-23ESect-2.6 P-26ESect-2.6 P-27ESect-2.6 P-28ESect-2.6 P-29ESect-2.6 P-30ESect-2.6 P-31ESect-2.6 P-32ESect-2.6 P-33ESect-2.6 P-34ESect-2.6 P-35ESect-2.6 P-36ESect-2.6 P-37ESect-2.6 P-38ESect-2.6 P-39ESect-2.6 P-40ESect-2.6 P-41ESect-2.6 P-42ESect-2.6 P-43ESect-2.6 P-44ESect-2.6 P-45ESect-2.6 P-46ESect-2.6 P-47ESect-2.6 P-48ESect-2.6 P-49ESect-2.6 P-50ESect-2.6 P-51ESect-2.6 P-52ESect-2.6 P-53ESect-2.6 P-54ESect-2.6 P-55ESect-2.6 P-56ESect-2.6 P-57ESect-2.6 P-58ESect-2.6 P-59ESect-2.6 P-60ESect-2.6 P-61ESect-2.6 P-62ESect-2.6 P-1TESect-2.6 P-2TESect-2.6 P-3TESect-2.6 P-4TESect-2.6 P-5TESect-2.6 P-6TESect-2.6 P-7TESect-2.6 P-8TESect-2.6 P-9TESect-2.6 P-10TECh-2 P-1CRQCh-2 P-2CRQCh-2 P-3CRQCh-2 P-4CRQCh-2 P-5CRQCh-2 P-6CRQCh-2 P-7CRQCh-2 P-8CRQCh-2 P-9CRQCh-2 P-10CRQCh-2 P-11CRQCh-2 P-12CRQCh-2 P-13CRQCh-2 P-14CRQCh-2 P-1RECh-2 P-2RECh-2 P-3RECh-2 P-4RECh-2 P-5RECh-2 P-6RECh-2 P-7RECh-2 P-8RECh-2 P-9RECh-2 P-10RECh-2 P-11RECh-2 P-12RECh-2 P-13RECh-2 P-14RECh-2 P-15RECh-2 P-16RECh-2 P-17RECh-2 P-18RECh-2 P-19RECh-2 P-20RECh-2 P-21RECh-2 P-22RECh-2 P-23RECh-2 P-24RECh-2 P-25RECh-2 P-26RECh-2 P-27RECh-2 P-28RECh-2 P-29RECh-2 P-30RECh-2 P-31RECh-2 P-32RECh-2 P-33RECh-2 P-34RECh-2 P-35RECh-2 P-36RECh-2 P-37RECh-2 P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-55RECh-2 P-56RECh-2 P-57RECh-2 P-58RECh-2 P-59RECh-2 P-60RECh-2 P-61RECh-2 P-62RECh-2 P-63RECh-2 P-64RECh-2 P-1BMCh-2 P-2BMCh-2 P-3BMCh-2 P-4BMCh-2 P-5BMCh-2 P-6BM

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