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Chapter 2: Q21P (page 71)

Use a computer to plot graphs of sinh(x), cosh(x), and tanh(x).

Short Answer

Expert verified

The Graph of cosh(x) is shown below.

The Graph of is shown below.

The Graph of is shown below.

Step by step solution

01

Given Information.

The given expression is coshx,sinhx,tanhx.

02

Definition of Complex Number and Hyperbolic functions.

The domain of a function refers to the range of values that can be plugged into it. This is the set of x values in a function like f(x). The range of a function is the set of values that the function can take. This is the set of values that the function produces when we enterx value. The values are what you're looking for.

The basic hyperbolic functions are:

  1. Hyperbolic sine(sinh)
  2. Hyperbolic cosine(cosh)
  3. Hyperbolic tangent(tanh)
03

Plot the graph of cosh(x),sinh(x),tanh(x).

cosh(x)=ex+e-x2

The Graph of cosh(x) is shown below.

sinh(x)=ex-e-x-x2

The Graph ofsinhxis shown below.

tanh(x)=ex-e-xex+e-x

The Graph ofsinhxis shown below.

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Most popular questions from this chapter

Describe geometrically the set of points in the complex plane satisfying the following equations.|z+1|+|z-1|=8.

Question:First simplify each of the following numbers to the x+iyform or to thereiθform. Then plot the number in the complex plane.

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Question: First simplify each of the following numbers to the x+iyform or to the reiθform. Then plot the number in the complex plane.

5-2i5+2i.

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Describe geometrically the set of points in the complex plane satisfying the following equations.

|z-1|<1.
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