Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 62, Problem 26A
To determine
The volume of the machined piece.
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Q1: For, 0 <|z| < 1, evaluate the following integral where g is analyfunction
inside and on the unit circle C:
α) δε
a) Sc
15 αξί
b) Sc
9(5)
-1/2
d.
-2
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Chapter 62 Solutions
Mathematics for Machine Technology
Ch. 62 - In order to make a conical duct a circular sheet...Ch. 62 - Prob. 2ACh. 62 - Prob. 3ACh. 62 - Convert 12.02 sq in. to square centimeters.Ch. 62 - Prob. 5ACh. 62 - Prob. 6ACh. 62 - Prob. 7ACh. 62 - Compute the volume of each sphere 7 through 14....Ch. 62 - Prob. 9ACh. 62 - Compute the volume of each sphere 7 through 14....
Ch. 62 - Prob. 11ACh. 62 - Compute the volume of each sphere 7 through 14....Ch. 62 - Prob. 13ACh. 62 - Compute the volume of each sphere 7 through 14....Ch. 62 - Prob. 15ACh. 62 - Solve these exercise. A vat in the shape of a...Ch. 62 - Prob. 17ACh. 62 - Solve these exercises. A company produces...Ch. 62 - Solve these exercises. Pieces in the shape of...Ch. 62 - Solve these exercises. A plastic products...Ch. 62 - Solve these exercises. Find the weight of the...Ch. 62 - Compute the capacity, in liters, of the container...Ch. 62 - A seamless brass tube and brass flange assembly is...Ch. 62 - Find the number of cubic centimeters of material...Ch. 62 - Find the weight of the cast-iron angle iron shown....Ch. 62 - Prob. 26ACh. 62 - Prob. 27ACh. 62 - Compute the number of cubic centimeters of...
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- Q4: State the Fundamental Theorem of Independent of Path and Morera's Theorem. Why can't apply these theorems to compute the integral contour. zdz, where C is closedarrow_forward18.11. If f(z) is analytic and |f(z)| ≤1/(1-2) in || < 1, show that |f'(0)| ≤ 4.arrow_forwardSCAN GRAPHICS SECTION 9.3 | Percent 535 3. Dee Pinckney is married and filing jointly. She has an adjusted gross income of $58,120. The W-2 form shows the amount withheld as $7124. Find Dee's tax liability and determine her tax refund or balance due. 4. Jeremy Littlefield is single and has an adjusted gross income of $152,600. His W-2 form lists the amount withheld as $36,500. Find Jeremy's tax liability and determine his tax refund or balance due. 5. 6. Does a taxpayer in the 33% tax bracket pay 33% of his or her earnings in income tax? Explain your answer. In the table for single taxpayers, how were the figures $922.50 and $5156.25 arrived at? .3 hich percent is used. 00% is the same as multi- mber? 14. Credit Cards A credit card company offers an annual 2% cash-back rebate on all gasoline purchases. If a family spent $6200 on gasoline purchases over the course of a year, what was the family's rebate at the end of the year? Charitable t fractions, decimals, and 15. al Percent…arrow_forward
- 1.5. Run Programs 1 and 2 with esin(x) replaced by (a) esin² (x) and (b) esin(x)| sin(x)|| and with uprime adjusted appropriately. What rates of convergence do you observe? Comment.arrow_forwardUse Taylor Series to derive the entries to the pentadiagonal and heptadiagonal (septadiagonal?) circulant matricesarrow_forward1.3. The dots of Output 2 lie in pairs. Why? What property of esin(x) gives rise to this behavior?arrow_forward
- 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 the leading term in the expansion for w; - u'(x;) for u(x) = esin(x). (You will have to find maxε[-T,T] |u(5) (x)| numerically.) Modify Program 1 so that it plots the dashed line corresponding to this leading term rather than just N-4. This adjusted dashed line should fit the data almost perfectly. Plot the difference between the two on a log-log scale and verify that it shrinks at the rate O(h6).arrow_forwardDefine 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_forward
- Show that the function f(x) = sin(x)/x has a removable singularity. What are the left and right handed limits?arrow_forward18.9. 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_forward
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