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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 3.4, Problem 89E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
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Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
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Problem 25E
Problem 26E
Problem 27E
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Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
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Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
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Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
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Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
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Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
Problem 85E
Problem 86E
Problem 87E
Problem 88E
Problem 89E
Problem 90E
Problem 93E
Problem 94E
Problem 95E
Problem 96E
Problem 97E
Problem 98E
Problem 99E
Problem 100E
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

The flash unit on a camera operates by storing charge on a capacitor and releasing i1 suddenly when the flash is set off. The following data describe the charge Q remaining on the capacitor (measured in microcoulombs, μC) at time t (measured in seconds).

t 0.00 0.02 0.04 0.06 0.08 0.10
Q 100.00 81.87 67.03 54.88 44.93 36.76

(a) Use a graphing calculator or computer to find an exponential model for the charge.

(b) The derivative Q′(t) represents the electric current (measured in microamperes, μA) Flowing from the capacitor to the flash bulb. Use part (a) to estimate the current when t = 0.04 s. Compare with the result of Example 2.1.2.

(a)

To determine

To find: The exponential model for the charge.

Explanation

Calculation:

Use the online graphing calculator and obtain the graph of an exponential model for the charge as shown below in Figure 1.

The exponential model is Q(t)=Q0e−kt (1)

From given table t=0 and Q(0)=100 then substitute in equation (1),

Q(0)=Q0e0100=Q0

Substitute Q0=100 and from given table t=0.02 and Q(0.02)=81.87 in equation (1),

Q(0.02)=100e−k(0.02)81.87=100e−0.02k81

(b)

To determine

To estimate: The electric current when t=0.04s.

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Sect-3.1 P-1ESect-3.1 P-2ESect-3.1 P-3ESect-3.1 P-4ESect-3.1 P-5ESect-3.1 P-6ESect-3.1 P-7ESect-3.1 P-8ESect-3.1 P-9ESect-3.1 P-10E
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