Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Physics and Mathematics Exercises
#### Problem d.
Calculate the total resistance \(R_p\) of two resistors in parallel.
\[
\frac{1}{R_p} = \frac{1}{4.5 \times 10^2 \, \Omega} + \frac{1}{9.4 \times 10^2 \, \Omega}
\]
So the equation to solve for \( R_p \) is
\[
R_p =
\]
#### Problem e.
Determine the efficiency \( e \) of a system given by the equation:
\[
e = \frac{(1.7 \times 10^3 \, J) - (3.3 \times 10^2 \, J)}{(1.7 \times 10^3 \, J)}
\]
Simplify the expression to find the efficiency \( e \).
\[
e =
\]
#### Problem f.
Solve for the angle \( \theta \) using the equations for sine:
\[
(1.33) \sin 25.0^\circ = (1.50) \sin \theta
\]
Rearrange and solve for \( \theta \):
\[
\theta =
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Transcribed Image Text:### Physics and Mathematics Exercises
#### Problem d.
Calculate the total resistance \(R_p\) of two resistors in parallel.
\[
\frac{1}{R_p} = \frac{1}{4.5 \times 10^2 \, \Omega} + \frac{1}{9.4 \times 10^2 \, \Omega}
\]
So the equation to solve for \( R_p \) is
\[
R_p =
\]
#### Problem e.
Determine the efficiency \( e \) of a system given by the equation:
\[
e = \frac{(1.7 \times 10^3 \, J) - (3.3 \times 10^2 \, J)}{(1.7 \times 10^3 \, J)}
\]
Simplify the expression to find the efficiency \( e \).
\[
e =
\]
#### Problem f.
Solve for the angle \( \theta \) using the equations for sine:
\[
(1.33) \sin 25.0^\circ = (1.50) \sin \theta
\]
Rearrange and solve for \( \theta \):
\[
\theta =
\]
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