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Chapter 11: Q1P (page 548)

Sketch or computer plot a graph of the function y=e-x2 .

Short Answer

Expert verified

The graph shown is the graph of the function.

Step by step solution

01

Given Information

The value of the function isy=e-x2 .

02

Definition of graph

The graph is a pictorial representation of the function.

03

plot the graph

The value of the function is y=e-x2 .

For x,y=0,1

For x鈫�卤鈭�,y=0

From the coordinates mentioned above plot the graph.

The graph is shown below:

Which is the required graph.

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Most popular questions from this chapter

In the Table of Laplace Transforms (end of Chapter 8, page 469), verify螕the function results for L5 and L6. Also show thatL(1/t)=蟺/p.

Use the recursion relation (3.4), and if needed, equation (3.2) to simplify:

螕(23)/螕(83)

In statistical mechanics, we frequently use the approximationN! = N In N-N, where N is of the order of Avogadro鈥檚 number. Write out ln N! using Stirling鈥檚 formula, compute the approximate value of each term for N = 1023 , and so justify this commonly used approximation.

Computer plot graphs of

(a) En(x) for n = 0-10and x = 0.2.

(b) E1(x) and En(x)for x = 0-2.

(c) the sine integral Si(x)=鈭�0xsinttdt and the cosine integral Ci(x)=鈭�0鈭�Costtdt forx=0-4蟺.

Express the following integrals as 尾 functions, and then, by (7.1) , in terms of 螕 functions. When possible, use 螕function formulas to write an exact answer in terms of 蟺,2 , etc. Compare your answers with computer results and reconcile any discrepancies.

role="math" localid="1664349717981" 鈭�01x41-x2dx
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