(a) Program Explanation Given information: The differential equation is d p d x = 0.2 p and the initial condition is p ( 0 ) = 29.92 . Calculation: The given differential equation for the pressure is as follows, d p d x = 0.2 p Here, p is the amount of barometric pressure at an altitude x miles . Now use the method of separation of the variable to solve the above differential equation. d p p = 0.2 d x Now integrate both sides. ∫ d p p = ∫ 0.2 d x ln p = 0.2 x + c 1 p = d e 0.2 x Therefore, the amount of the radioactive material function is as follows, p = d e 0.2 x ........ (1) Now apply the initial condition p ( 0 ) = 29.92 in equation (1) to obtain the value of A 0 . 29.92 = d e 0.2 ( 0 ) d = 29.92 Now substitute 29 (b) Program Plan Intro Program Description: Purpose of the problem is to calculate the height when the pressure is 15 inchesof mercury .

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ISBN: 9780100802452

Author: Calvis

Publisher: YUZU

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

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Chapter 1.4, Problem 46P

(a)

Program Plan Intro

Program Description: Purpose of the problem is to find the barometric pressure at 10000 ft and 30,000 ft .

(b)

Program Plan Intro

Program Description: Purpose of the problem is to calculate the height when the pressure is 15 inchesof mercury .

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Chapter 1.4, Problem 45P

Chapter 1.4, Problem 47P

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Chapter 1 Solutions

EBK DIFFERENTIAL EQUATIONS

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Program Description: Purpose of the problem is to find the barometric pressure at 10000 ft and 30,000 ft .

Solution Summary: The author explains how to find the barometric pressure at 10000ft and 30,000

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Program Description: Purpose of the problem is to find the barometric pressure at 10000 ft and 30,000 ft .

Program Description: Purpose of the problem is to calculate the height when the pressure is 15 inchesof mercury .

Want to see the full answer?

Chapter 1 Solutions