Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Textbook Question
Chapter 10, Problem 11P
Repeat problem P10-9 if
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1.3. The dots of Output 2 lie in pairs. Why? What property of esin(x) gives rise to
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1.6. By manipulating Taylor series, determine the constant C for an error expansion
of (1.3) of the form wj−u' (xj) ~ Ch¼u (5) (x;), where u (5) denotes the fifth derivative.
Based on this value of C and on the formula for u(5) (x) with u(x) = esin(x), determine
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Chapter 10 Solutions
Introductory Mathematics for Engineering Applications
Ch. 10 - A faucet supplies fluid to a container of...Ch. 10 - The initial temperature of the hot coffee cup...Ch. 10 - A constant voltage vs(t)=10V is applied to the RC...Ch. 10 - Repeat parts (a)-(d) of the problem P10-3 if R=10k...Ch. 10 - Repeat parts (a)-(d) of the problem P10-3 if R=20k...Ch. 10 - A constant voltage vs(t)=10V is applied to the RC...Ch. 10 - Repeat problems P10-6 if R=200k and C=100F.Ch. 10 - Repeat problems P10-6 if R=100k, C=50F, vs(t)=20V...Ch. 10 - A sinusoidal voltage vs(t)=10sin(0.01t)V is...Ch. 10 - Repeat problem P10-9 if R=10k and C=10F.
Ch. 10 - Repeat problem P10-9 if R=20k and C=20F.Ch. 10 - The circuit shown in Fig. P10.12 consists of a...Ch. 10 - Repeat problems P10-12 if R=1k, C=10F, I=10mA, and...Ch. 10 - Repeat problems P10-12 if R=2k, C=100F, I=5mA, and...Ch. 10 - A constant current is(t)=100mA is applied to the...Ch. 10 - Repeat problems P10-15 if R=100 and L=100mH.Ch. 10 - Repeat problems P10-15 if R=100 and L=10mH.Ch. 10 - At time t=0, an input voltage vin is applied to...Ch. 10 - Repeat problems P10-18 if R=50 and L=500mH.Ch. 10 - Repeat problems P10-18 if R=10, L=200mH, and...Ch. 10 - The switch in the circuit shown in Fig. P10.21 has...Ch. 10 - A constant voltage source vin(t)=10 volts is...Ch. 10 - A sinusoidal voltage source vin(t)=10sin(10t)...Ch. 10 - The relationship between arterial blood flow and...Ch. 10 - Repeat problem P10-24 if the volumetric blood flow...Ch. 10 - The displacement y(t) of a spring-mass system...Ch. 10 - Repeat problem P10-26 if the displacement y(t) of...Ch. 10 - The displacement y(t) of a spring mass system...Ch. 10 - Repeat problem P10-28 if the displacement y(t) of...Ch. 10 - A block of mass m is dropped from a height h above...Ch. 10 - Repeat parts (a)-(c) of c problems P10-30 if...Ch. 10 - Repeat parts (a)-(c) of problems P10-30 if m=1kg,...Ch. 10 - The displacement y(t) of the spring-mass system...Ch. 10 - Under static loading by a weight of mass m, a rod...Ch. 10 - At time t=0, a cart of mass n moving at an initial...Ch. 10 - An LC circuit is subjected to a constant voltage...Ch. 10 - Repeat parts (a) and (b) of problem P10-36 if...Ch. 10 - An LC circuit is subjected to input voltage vin...Ch. 10 - Repeat parts (a)-(c) of problem P10-38 if L=100mH,...Ch. 10 - Repeat parts (a)-(c) of problem P10-38 if L=40mH,...Ch. 10 - Repeat parts (a)-(c) of problem P10-38 if L=40mH,...Ch. 10 - A biomedical engineer is designing a resistive...Ch. 10 - A rod of mass m and length l is pinned at the...
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- Define sinc(x) = sin(x)/x, except with the singularity removed. Differentiate sinc(x) once and twice.arrow_forward1.4. Run Program 1 to N = 216 instead of 212. What happens to the plot of error vs. N? Why? Use the MATLAB commands tic and toc to generate a plot of approximately how the computation time depends on N. Is the dependence linear, quadratic, or cubic?arrow_forwardShow that the function f(x) = sin(x)/x has a removable singularity. What are the left and right handed limits?arrow_forward
- 18.9. Let denote the boundary of the rectangle whose vertices are -2-2i, 2-21, 2+i and -2+i in the positive direction. Evaluate each of the following integrals: (a). 之一 dz, (b). dz, (b). COS 2 coz dz, dz (z+1) (d). z 2 +2 dz, (e). (c). (2z+1)zdz, z+ 1 (f). £, · [e² sin = + (2² + 3)²] dz. (2+3)2arrow_forward18.10. Let f be analytic inside and on the unit circle 7. Show that, for 0<|z|< 1, f(E) f(E) 2πif(z) = --- d.arrow_forward18.4. Let f be analytic within and on a positively oriented closed contoury, and the point zo is not on y. Show that L f(z) (-20)2 dz = '(2) dz. 2-20arrow_forward
- 18.9. Let denote the boundary of the rectangle whose vertices are -2-2i, 2-21,2+i and -2+i in the positive direction. Evaluate each of the following integrals: (a). rdz, (b). dz (b). COS 2 coz dz, (z+1) (d). 之一 z 2 +2 dz, (e). dz (c). (2z + 1)2dz, (2z+1) 1 (f). £, · [e² sin = + (2² + 3)²] dz. z (22+3)2arrow_forward18.8. (a). Let be the contour z = e-≤0≤ traversed in the า -dz = 2xi. positive direction. Show that, for any real constant a, Lex dzarrow_forwardf(z) 18.7. Let f(z) = (e² + e³)/2. Evaluate dz, where y is any simple closed curve enclosing 0.arrow_forward
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