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Given the pair of nonlinear simultaneous equations:
(a) Use the Excel Solver to determine the two pairs of values of x and y that satisfy these equations.
(b) Using a range of initial guesses
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Chapter 11 Solutions
Numerical Methods for Engineers
- 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 1.'s integrale عناarrow_forwardQ4: 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_forward
- SCAN 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_forward1.5. 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_forward
- 1.3. The dots of Output 2 lie in pairs. Why? What property of esin(x) gives rise to this behavior?arrow_forward1.6. 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_forward
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