6th Edition

ISBN: 9781119299257

Author: Amos Gilat

Publisher: WILEY CONS

Concept explainers

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

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A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

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Textbook Question

Chapter 7, Problem 23P

Write a user-defined function that determines if a number is a prime number. Name the function pr=Trueprime (m), where the input arguments m is a positive integer and the output argument pr is 1 if m is a prime number and 0 if m is not a prime number. Do not use MATLAWS built-in functions primes and isprime. If a negative number or a number that is not an integer is entered when the function is called, the error message “The input argument must be a positive integer.” is displayed.

(a) Use the function with 733, 2001, and 107.5.

(b) Write a MATLAB program in a script file that makes use of Trueprime and finds the smallest prime number that remains a prime number when added to its reverse (37 is the reverse of 73).

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Chapter 7, Problem 22P

Chapter 7, Problem 24P

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