Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 1.3, Problem 33E

To determine

To find: the effective resistance of battery.

Expert Solution

Answer to Problem 33E

0.4 ohms

Explanation of Solution

Given information:

The given variables are as follows:

Voltage (in volts) = V

Current drawn (in amperes) = i

Effective resistance (in ohms) = R

The slope of function V(i)=m , and R=−m .

(i1,V1)=(1.0,12.0)(i2,V2)=(10.0,8.4)

Calculation:

Put the values of (i1,V1) and (i2,V2) in the slope formula and evaluate the value of m as follows:

m=y2−y1x2−x1=8.4−12.010.0−1.0=−3.69=−0.4

Put the value of m in the following equation and evaluate R as follows:

R=−m=−(−0.4)=0.4

Thus, the effective resistance is 0.4 ohms.

To determine

To find: the voltage produced by the battery at given current supply.

Expert Solution

Answer to Problem 33E

2.4 Volts

Explanation of Solution

Given information:

The given variables are as follows:

Voltage (in volts) = V

Current drawn (in amperes) = i

Effective resistance (in ohms) = R

The slope of function V(i)=m , and R=−m .

(i1,V1)=(1.0,12.0)(i2,V2)=(10.0,8.4)

m=−0.4R=0.4 ohmsi=25.0 ampere

Calculation:

Since the function of the line represented by V(i) . The slope intercept equation for this function will be as follows:

y=mx+bV(i)=−0.4i+b ...(1)

Put the first point coordinates (i1,V1) in equation (1) and evaluate b as follows:

12.0=(−0.4)(1.0)+b12.0=−0.4+bb=12.0+0.4b=12.4

Now, put the value of b in equation (1) to evaluate the slope intercept equation V(i) as follows:

V(i)=−0.4i+12.4 ...(2)

Now, put i=25.0 ampere in equation (2) to evaluate the voltage of the battery as shown below.

V(i)=−0.4(25.0)+12.4=−10+12.4=2.4

Thus, the voltage produced by battery at given current supply is 2.4 volts.

Chapter 1.3, Problem 32E

Chapter 1.3, Problem 34E

Chapter 1 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 1.1 - Prob. 1CFU Ch. 1.1 - Prob. 2CFU Ch. 1.1 - Prob. 3CFU Ch. 1.1 - Prob. 4CFU Ch. 1.1 - Prob. 5CFU Ch. 1.1 - Prob. 6CFU Ch. 1.1 - Prob. 7CFU Ch. 1.1 - Prob. 8CFU Ch. 1.1 - Prob. 9CFU Ch. 1.1 - Prob. 10CFU

Ch. 1.1 - Prob. 11CFU Ch. 1.1 - Prob. 12CFU Ch. 1.1 - Prob. 13CFU Ch. 1.1 - Prob. 14CFU Ch. 1.1 - Prob. 15CFU Ch. 1.1 - Prob. 16CFU Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - Prob. 57E Ch. 1.2 - Prob. 1GCE Ch. 1.2 - Prob. 2GCE Ch. 1.2 - Prob. 3GCE Ch. 1.2 - Prob. 4GCE Ch. 1.2 - Prob. 5GCE Ch. 1.2 - Prob. 1CFU Ch. 1.2 - Prob. 2CFU Ch. 1.2 - Prob. 3CFU Ch. 1.2 - Prob. 4CFU Ch. 1.2 - Prob. 5CFU Ch. 1.2 - Prob. 6CFU Ch. 1.2 - Prob. 7CFU Ch. 1.2 - Prob. 8CFU Ch. 1.2 - Prob. 9CFU Ch. 1.2 - Prob. 10CFU Ch. 1.2 - Prob. 11E Ch. 1.2 - Prob. 12E Ch. 1.2 - Prob. 13E Ch. 1.2 - Prob. 14E Ch. 1.2 - Prob. 15E Ch. 1.2 - Prob. 16E Ch. 1.2 - Prob. 17E Ch. 1.2 - Prob. 18E Ch. 1.2 - Prob. 19E Ch. 1.2 - Prob. 20E Ch. 1.2 - Prob. 21E Ch. 1.2 - Prob. 22E Ch. 1.2 - Prob. 23E Ch. 1.2 - Prob. 24E Ch. 1.2 - Prob. 25E Ch. 1.2 - Prob. 26E Ch. 1.2 - Prob. 27E Ch. 1.2 - Prob. 28E Ch. 1.2 - Prob. 29E Ch. 1.2 - Prob. 30E Ch. 1.2 - Prob. 31E Ch. 1.2 - Prob. 32E Ch. 1.2 - Prob. 33E Ch. 1.2 - Prob. 34E Ch. 1.2 - Prob. 35E Ch. 1.2 - Prob. 36E Ch. 1.2 - Prob. 37E Ch. 1.2 - Prob. 38E Ch. 1.2 - Prob. 39E Ch. 1.3 - Prob. 1CFU Ch. 1.3 - Prob. 2CFU Ch. 1.3 - Prob. 3CFU Ch. 1.3 - Prob. 4CFU Ch. 1.3 - Prob. 5CFU Ch. 1.3 - Prob. 6CFU Ch. 1.3 - Prob. 7CFU Ch. 1.3 - 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Prob. 9CFU Ch. 1.4 - Prob. 10CFU Ch. 1.4 - Prob. 11E Ch. 1.4 - Prob. 12E Ch. 1.4 - Prob. 13E Ch. 1.4 - Prob. 14E Ch. 1.4 - Prob. 15E Ch. 1.4 - Prob. 16E Ch. 1.4 - Prob. 17E Ch. 1.4 - Prob. 18E Ch. 1.4 - Prob. 19E Ch. 1.4 - Prob. 20E Ch. 1.4 - Prob. 21E Ch. 1.4 - Prob. 22E Ch. 1.4 - Prob. 23E Ch. 1.4 - Prob. 24E Ch. 1.4 - Prob. 25E Ch. 1.4 - Prob. 26E Ch. 1.4 - Prob. 27E Ch. 1.4 - Prob. 28E Ch. 1.4 - Prob. 29E Ch. 1.4 - Prob. 30E Ch. 1.4 - Prob. 31E Ch. 1.4 - Prob. 32E Ch. 1.4 - Prob. 33E Ch. 1.4 - Prob. 34E Ch. 1.4 - Prob. 35E Ch. 1.4 - Prob. 1MCQ Ch. 1.4 - Prob. 2MCQ Ch. 1.4 - Prob. 3MCQ Ch. 1.4 - Prob. 4MCQ Ch. 1.4 - Prob. 5MCQ Ch. 1.4 - Prob. 6MCQ Ch. 1.4 - Prob. 7MCQ Ch. 1.4 - Prob. 8MCQ Ch. 1.4 - Prob. 9MCQ Ch. 1.4 - Prob. 10MCQ Ch. 1.5 - Prob. 1CFU Ch. 1.5 - Prob. 2CFU Ch. 1.5 - Prob. 3CFU Ch. 1.5 - Prob. 4CFU Ch. 1.5 - Prob. 5CFU Ch. 1.5 - Prob. 6CFU Ch. 1.5 - Prob. 7CFU Ch. 1.5 - Prob. 8CFU Ch. 1.5 - Prob. 9CFU Ch. 1.5 - Prob. 10CFU Ch. 1.5 - Prob. 11CFU Ch. 1.5 - Prob. 12E Ch. 1.5 - 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Prob. 4CFU Ch. 1.7 - Prob. 5CFU Ch. 1.7 - Prob. 6CFU Ch. 1.7 - Prob. 7CFU Ch. 1.7 - Prob. 8CFU Ch. 1.7 - Prob. 9CFU Ch. 1.7 - Prob. 10CFU Ch. 1.7 - Prob. 11E Ch. 1.7 - Prob. 12E Ch. 1.7 - Prob. 13E Ch. 1.7 - Prob. 14E Ch. 1.7 - Prob. 15E Ch. 1.7 - Prob. 16E Ch. 1.7 - Prob. 17E Ch. 1.7 - Prob. 18E Ch. 1.7 - Prob. 19E Ch. 1.7 - Prob. 20E Ch. 1.7 - Prob. 21E Ch. 1.7 - Prob. 22E Ch. 1.7 - Prob. 23E Ch. 1.7 - Prob. 24E Ch. 1.7 - Prob. 25E Ch. 1.7 - Prob. 26E Ch. 1.7 - Prob. 27E Ch. 1.7 - Prob. 28E Ch. 1.7 - Prob. 29E Ch. 1.7 - Prob. 30E Ch. 1.7 - Prob. 31E Ch. 1.7 - Prob. 32E Ch. 1.7 - Prob. 33E Ch. 1.7 - Prob. 34E Ch. 1.7 - Prob. 35E Ch. 1.7 - Prob. 36E Ch. 1.7 - Prob. 37E Ch. 1.8 - Prob. 1CFU Ch. 1.8 - Prob. 2CFU Ch. 1.8 - Prob. 3CFU Ch. 1.8 - Prob. 4CFU Ch. 1.8 - Prob. 5CFU Ch. 1.8 - Prob. 6CFU Ch. 1.8 - Prob. 7CFU Ch. 1.8 - Prob. 8CFU Ch. 1.8 - Prob. 9E Ch. 1.8 - Prob. 10E Ch. 1.8 - Prob. 11E Ch. 1.8 - Prob. 12E Ch. 1.8 - Prob. 13E Ch. 1.8 - Prob. 14E Ch. 1.8 - Prob. 15E Ch. 1.8 - Prob. 16E Ch. 1.8 - 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Prob. 36SGA Ch. 1 - Prob. 37SGA Ch. 1 - Prob. 38SGA Ch. 1 - Prob. 39SGA Ch. 1 - Prob. 40SGA Ch. 1 - Prob. 41SGA Ch. 1 - Prob. 42SGA Ch. 1 - Prob. 43SGA Ch. 1 - Prob. 44SGA Ch. 1 - Prob. 45SGA Ch. 1 - Prob. 46SGA Ch. 1 - Prob. 47SGA Ch. 1 - Prob. 48SGA Ch. 1 - Prob. 49SGA Ch. 1 - Prob. 50SGA Ch. 1 - Prob. 51SGA Ch. 1 - Prob. 52SGA Ch. 1 - Prob. 53SGA Ch. 1 - Prob. 54SGA Ch. 1 - Prob. 55SGA Ch. 1 - Prob. 56SGA Ch. 1 - Prob. 57SGA Ch. 1 - Prob. 58SGA Ch. 1 - Prob. 59SGA Ch. 1 - Prob. 60SGA Ch. 1 - Prob. 61SGA Ch. 1 - Prob. 62SGA Ch. 1 - Prob. 63SGA Ch. 1 - Prob. 64SGA Ch. 1 - Prob. 65SGA Ch. 1 - Prob. 66SGA Ch. 1 - Prob. 67SGA Ch. 1 - Prob. 68SGA Ch. 1 - Prob. 69SGA Ch. 1 - Prob. 1SAP Ch. 1 - Prob. 2SAP Ch. 1 - Prob. 3SAP Ch. 1 - Prob. 4SAP Ch. 1 - Prob. 5SAP Ch. 1 - Prob. 6SAP Ch. 1 - Prob. 7SAP Ch. 1 - Prob. 8SAP Ch. 1 - Prob. 9SAP Ch. 1 - Prob. 10SAP

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