INTERNATIONAL EDITION---Numerical Methods for Engineers, 7th edition
INTERNATIONAL EDITION---Numerical Methods for Engineers, 7th edition
7th Edition
ISBN: 9781259170546
Author: Steven Chapra and Raymond Canale
Publisher: MCG
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Minimization
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.
Derivatives
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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Chapter 16, Problem 14P

Find the optimal dimensions for a heated cylindrical tank designed to hold 10  m 3 of fluid. The ends and sides cost $ 200 /m 2  and $100/m 2 , respectively. In addition, a coating is applied to the entire tank area at a cost of $ 50 / m 2 .

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Chapter 16 Solutions

INTERNATIONAL EDITION---Numerical Methods for Engineers, 7th edition

Ch. 16 - 16.1 Design the optimal cylindrical container...Ch. 16 - 16.2 (a) Design the optimal conical container...Ch. 16 - Design the optimal cylindrical tank with...Ch. 16 - The specific growth rate of a yeast that produces...Ch. 16 - A chemical plant makes three major products on a...Ch. 16 - 16.6 Recently chemical engineers have become...Ch. 16 - 16.7 A mixture of benzene and toluene are to be...Ch. 16 - 16.8 A compound A will be converted into B in a...Ch. 16 - In problem 16.8, only one reactor is used. If two...Ch. 16 - 16.10 For the reaction: equilibrium can be...
Ch. 16 - A chemical plant requires 106L/day of a solution....Ch. 16 - You must design a triangular open channel to carry...Ch. 16 - 16.13 As an agricultural engineer, you must design...Ch. 16 - 16.14 Find the optimal dimensions for a heated...Ch. 16 - A finite-element model of a cantilever beam...Ch. 16 - 16.16 Suppose that you are asked to design a...Ch. 16 - TheStreeter-Phelps model can be used to compute...Ch. 16 - Prob. 18PCh. 16 - 16.19 The flow in an open channel can be predicted...Ch. 16 - A cylindrical beam carries a compression load...Ch. 16 - The Splash River has a flow rate of 2106m3/d, of...Ch. 16 - 16.22 Determine the beam cross-sectional areas...Ch. 16 - AtotalchargeQ is uniformly distributed around a...Ch. 16 - A system consist softwopower plants that must...Ch. 16 - 16.25 The torque transmitted to an induction motor...Ch. 16 - (a) A computer equipment manufacture rproduces...Ch. 16 - A manufacturer provides specialized microchips....Ch. 16 - 16.28 The total drag on an airfoil can be...Ch. 16 - Mechanical/Aerospace Engineering 16.29 Roller...Ch. 16 - 16.30 An aerospace company is developing a new...Ch. 16 - 16.31 A manufacturing firm produces four types of...Ch. 16 - In a similar fashion to the case study described...Ch. 16 - 16.33 Recent interest in competitive and...
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