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# Solutions for Chapter 7.1: DEFINITION OF THE LAPLACE TRANSFORM

## Full solutions for A First Course in Differential Equations with Modeling Applications | 10th Edition

ISBN: 9781111827052

Solutions for Chapter 7.1: DEFINITION OF THE LAPLACE TRANSFORM

Solutions for Chapter 7.1
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##### ISBN: 9781111827052

This expansive textbook survival guide covers the following chapters and their solutions. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. Since 56 problems in chapter 7.1: DEFINITION OF THE LAPLACE TRANSFORM have been answered, more than 43940 students have viewed full step-by-step solutions from this chapter. Chapter 7.1: DEFINITION OF THE LAPLACE TRANSFORM includes 56 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Argument of a complex number

The argument of a + bi is the direction angle of the vector {a,b}.

• Bar chart

A rectangular graphical display of categorical data.

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Cosine

The function y = cos x

• Equivalent vectors

Vectors with the same magnitude and direction.

• Identity

An equation that is always true throughout its domain.

• Infinite limit

A special case of a limit that does not exist.

• Inverse secant function

The function y = sec-1 x

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Measure of an angle

The number of degrees or radians in an angle

• Negative linear correlation

See Linear correlation.

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Unit vector

Vector of length 1.

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