EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 23, Problem 16P
Evaluate
(a) Analytically and
(b) Numerically
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Q2. Write the following Mayan numeral (base 20) as a Hindu-Arabic numeral (base 10). Show your work.
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Q12. Using the prime factorization tree, simplify the following square roots. Show your work.
√2646
a)
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b) √4050 - √1800
Q9. Complete the multiplication table below, then use it to perform divisions given below. Show your work.
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11
13
3
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Chapter 23 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 23 - 23.1 Compute forward and backward difference...Ch. 23 - 23.2 Repeat Prob. 23.1, but for evaluated at...Ch. 23 - 23.3 Use centered difference approximations to...Ch. 23 - Use Richardson extrapolation to estimate the first...Ch. 23 - Repeat Prob. 23.4, but for the first derivative of...Ch. 23 - 23.6 Employ Eq. (23.9) to determine the first...Ch. 23 - 23.7 Prove that for equispaced data points, Eq....Ch. 23 - Compute the first-order central difference...Ch. 23 - Prob. 9PCh. 23 - Develop a user-friendly program to apply a Romberg...
Ch. 23 - 23.11 Develop a user-friendly program to obtain...Ch. 23 - 23.12 The following data are provided for the...Ch. 23 - 23.13 Recall that for the falling parachutist...Ch. 23 - The normal distribution is defined as f(x)=12ex2/2...Ch. 23 - 23.15 The following data were generated from the...Ch. 23 - Evaluate f/x,f/y, and f/(xy) for the following...Ch. 23 - 23.17 Evaluate the following integral with...Ch. 23 - 23.18 Use the diff command in MATLAB and compute...Ch. 23 - The objective of this problem is to compare...Ch. 23 - Use a Taylor series expansion to derive a centered...Ch. 23 - Use the following data to find the velocity and...Ch. 23 - 23.22 A plane is being tracked by radar, and data...Ch. 23 - 23.23 Develop an Excel VBA macro program to read...Ch. 23 - Use regression to estimate the acceleration at...Ch. 23 - You have to measure the flow rate of water through...Ch. 23 - The velocity y (m/s) of air fl owing past a flat...Ch. 23 - Chemical reactions often follow the model:...Ch. 23 - 23.28 The velocity profile of a fluid in a...Ch. 23 - 23.29 The amount of mass transported via a pipe...
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- Q7. Using the numeral symbols given in Question 4, calculate the following addition and subtraction. Show your work. a) cce+yгг b) Γ Γ Θ Δ - Θ Δ Υ Υarrow_forwardQ5. Add in the indicated base. Show your work. a) A7E4 sixteen+4825 sixteen b) 5442 seven + 5340 sevenarrow_forwardQ1. Write the following Babylonian numeral (base 60) as a Hindu-Arabic numeral (base 10). Show your work. a) <arrow_forwardQ4. A tribe has been located in a remote area in South America whose system of numeration uses the following symbols, as shown with their Hindu-Arabic equivalents: 0 1 2 3 4 5 6 A Σ Ꮎ Y 0 U L a) Scientists in this tribe have measured the radius of the earth as we know it in base ten to be 6371 km. Convert this value to the numerals used by this tribe. Show your work. D b) Convert the following number to base ten:arrow_forwardQ10. Perform the following divisions in base seven. Show your work. 0 a) 12) 456 b) 25 ) 1463 c) 31 6054 31)arrow_forwardQ11. Write each one of the following decimals in quotient of integers. Show your work. a) 2.3434 ... b) 4.586 c) 0.368 d) 3.524arrow_forwardQ8. Multiply in the indicated base. Show your work. a) 513 eight x 16eight b) 405 six x 213sixarrow_forwardQ6. Subtract in the indicated base. Show your work. a) 5343 six- 3531 six b) 8BEA sixteen-A3F sixteenarrow_forwardCQ3. Convert the following numbers to Hindu-Arabic numeral in base ten. Show a) E0C8 hexadecimal your work. b) F41 Ahexadecimalarrow_forwardCalculate a = x+y, b = z + 1, then keep numbers a and b. Questions marked with *** are to be graded. 1. Use the initial and final value theorems to determine x(0*) and x(oo) for the following transforms: a(s+2) *** a) X(s)= s(s+b) 2(s+2) b) X(s)= s(s+a)(s+b) 2. Obtain the inverse Laplace transform for the following transforms. a) F(s)= as+b b) F(s)= 5s+2 (s+a)(s+b)² 3. Obtain the solution x(t) of the the following differential equations: a) x+ax=0, x(0)=b, x(0) = 0 b) 2x+2x+x=a, x(0)=0, x(0)=b 4. Obtain the inverse transform of the following. If the denominator of the transform has complex roots, express x(t) in terms of sin() and cos(). *** a) X(s)= b) X(s)= 4s+a +8s+b s³+as+6 s(s+b) 5. Determine the unit-step response, f (t) = u(t) of the following models. Take zero initial conditions. a) ax+20x+bx = f(t) b) x+ax+bx=3f(t)+2f(t)arrow_forwardQ/ calculate the Fourier series of f(x) on the given interval f(x) = x Sin X 9 -arrow_forwardQ 2/ Calculate the Fourier series of f(x) on the given interval f(x) = x Sin X - 16 x ≤ メarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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