Chapter 2, Problem 53RE

BuyFind*arrow_forward*

10th Edition

Soo T. Tan

ISBN: 9781285464640

Textbook Problem

**Testosterone Use** Fueled by the promotion of testosterone as an antiaging elixir, use of the hormone by middle-age and older men grew dramatically. The total number of prescriptions for testosterone from 1999 through 2002 is given by

*N*(*t*) = −35.8t^{3} + 202*t*^{2} + 87.8*t* +648 (0 ≤ *t* ≤ 3)

where *N*(*t*) is measured in thousands and *t* is measured in years, with *t* = 0 corresponding to the beginning of 1999. Find the total number of prescriptions for testosterone in 1999, 2000, 2001, and 2002.

*Source:* IMS Health.

To determine

**To find:** The total number of prescription for testosterone in 1999, 2000, 2001 and 2002.

Explanation

**Given:**

The total number of prescription for testosterone from 1999 through 2002 is,

Where

**Calculation:**

The total number of prescription for testosterone from 1999 through 2002 is,

Substitute

The total number of prescription for testosterone (in thousands) in 1999,

Thus, the total number of prescription for testosterone in 1999 is

Substitute

The total number of prescription for testosterone (in thousands) in 2000 is,

Thus, the total number of prescription for testosterone in 2000 is

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

Calculus: Early Transcendentals

Calculus: An Applied Approach (MindTap Course List)

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus: Early Transcendental Functions

Calculus (MindTap Course List)

Precalculus: Mathematics for Calculus (Standalone Book)

Applied Calculus

Multivariable Calculus

Single Variable Calculus: Early Transcendentals, Volume I

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Essentials Of Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

Understanding Basic Statistics

Single Variable Calculus

Intermediate Algebra

Mathematical Applications for the Management, Life, and Social Sciences

Mathematical Excursions (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Single Variable Calculus: Early Transcendentals

Contemporary Mathematics for Business & Consumers

Elementary Technical Mathematics

Elements Of Modern Algebra

Elementary Geometry For College Students, 7e

Trigonometry (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Calculus of a Single Variable

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students

Calculus (MindTap Course List)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Study Guide for Stewart's Multivariable Calculus, 8th

Multivariable Calculus

Research Methods for the Behavioral Sciences (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Statistics for Business & Economics, Revised (MindTap Course List)

College Algebra (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

Mathematics For Machine Technology

Introduction To Statistics And Data Analysis