- 9.1: In Exercises 116 solve the differential equation.
- 9.2: In Exercises 116 solve the differential equation.
- 9.3: In Exercises 116 solve the differential equation.
- 9.4: In Exercises 116 solve the differential equation.
- 9.5: In Exercises 116 solve the differential equation.
- 9.6: In Exercises 116 solve the differential equation.
- 9.7: In Exercises 116 solve the differential equation.
- 9.8: In Exercises 116 solve the differential equation.
- 9.9: In Exercises 116 solve the differential equation.
- 9.10: In Exercises 116 solve the differential equation.
- 9.11: In Exercises 116 solve the differential equation.
- 9.12: In Exercises 116 solve the differential equation.
- 9.13: In Exercises 116 solve the differential equation.
- 9.14: In Exercises 116 solve the differential equation.
- 9.15: In Exercises 116 solve the differential equation.
- 9.16: In Exercises 116 solve the differential equation.
- 9.17: In Exercises 1722 solve the initial value problem
- 9.18: In Exercises 1722 solve the initial value problem
- 9.19: In Exercises 1722 solve the initial value problem
- 9.20: In Exercises 1722 solve the initial value problem
- 9.21: In Exercises 1722 solve the initial value problem
- 9.22: In Exercises 1722 solve the initial value problem
- 9.23: In Exercises 23 and 24, use Eulers method to solve the initial valu...
- 9.24: In Exercises 23 and 24, use Eulers method to solve the initial valu...
- 9.25: In Exercises 25 and 26, use Eulers method with to estimate y(c) whe...
- 9.26: In Exercises 25 and 26, use Eulers method with to estimate y(c) whe...
- 9.27: In Exercises 27 and 28, use Eulers method to solve the initial valu...
- 9.28: In Exercises 2932, sketch part of the equations slope field. Then a...
- 9.29: In Exercises 2932, sketch part of the equations slope field. Then a...
- 9.30: In Exercises 2932, sketch part of the equations slope field. Then a...
- 9.31: In Exercises 2932, sketch part of the equations slope field. Then a...
- 9.32: In Exercises 2932, sketch part of the equations slope field. Then a...
- 9.33: In Exercises 33 and 34:
- 9.34: In Exercises 33 and 34:
- 9.35: The gravitational attraction F exerted by an airless moon on a body...
- 9.36: Table 9.6 shows the distance s (meters) coasted on in-line skates i...
Solutions for Chapter 9: First-Order Differential Equations
Full solutions for Thomas' Calculus Early Transcendentals | 12th Edition
ISBN: 9780321588760
This textbook survival guide was created for the textbook: Thomas' Calculus Early Transcendentals, edition: 12. Chapter 9: First-Order Differential Equations includes 36 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 36 problems in chapter 9: First-Order Differential Equations have been answered, more than 4123 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus Early Transcendentals was written by and is associated to the ISBN: 9780321588760.
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Angle
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)
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Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.
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Blind experiment
An experiment in which subjects do not know if they have been given an active treatment or a placebo
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Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.
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Convenience sample
A sample that sacrifices randomness for convenience
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Gaussian curve
See Normal curve.
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Jump discontinuity at x a
limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal
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Multiplicative inverse of a matrix
See Inverse of a matrix
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nth root
See Principal nth root
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Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.
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Perpendicular lines
Two lines that are at right angles to each other
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Quadratic regression
A procedure for fitting a quadratic function to a set of data.
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Reciprocal function
The function ƒ(x) = 1x
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Residual
The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.
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Semiperimeter of a triangle
One-half of the sum of the lengths of the sides of a triangle.
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Solve by elimination or substitution
Methods for solving systems of linear equations.
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Square matrix
A matrix whose number of rows equals the number of columns.
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Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.
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Translation
See Horizontal translation, Vertical translation.
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x-intercept
A point that lies on both the graph and the x-axis,.