1.4 Given f(2) = (z + 5i)12g(2). If is it also know that g(-5i) = 0, then which of thefollowing statements is true?A. f has a zero of order seven(12) at z = -5i.B. f has a zero of order eight(13) at z = -5i.C. g has a simple zero z = -5i.D. For any z0 € C where zo # -5i, f(20) # 0.

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Answered: 1.4 Given f(2) = (z + 5i)g(2). If is it…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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1.4 Given f(2) = (2 + 5i)"g(2). If is it also know that g(-5i) = 0, then which of the following statements is true? A. f has a zero of order seven(12) at : = -5i. B. f has a zero of order eight(13) at z = -5i. C. g has a simple zero z = -5i. D. For any 20 € C where za # -5i, f(2o) # 0.
= mx + b. 4. Let m and b be real numbers, and consider the following three functions: f(x) = 2x + 1, g(x) x + 2, and h(x) A. If function f has a codomain of (5, 7) U (7, 9), the largest its domain can be chosen is (2, 3) U (3, 4). Explain. B. If function g has a codomain of (−1, 1) U (1, 3), the largest its domain can be chosen is (-3, 3) U (3, 9). Explain. C. Within the context of the e- definition of a limit, your result from part A suggests that if € is equal to 2, the largest that can be chosen for function f(x) is 1. Explain. =
2 (x² – x – 6) 4. State the domain of the following function : R (x) = 7 (x*+4х-21) 4x – 21)
Which of the following functions would be most useful to prove that | [1, 5] |=| [6, 10]|? Select one: - O a. f(x) = (x − 3)² +6 O b. O c. O d. Oe. 4 f(x)=1/√x² + 3x +6 f(x) = 10 - (x - 1) f(x)=x+4. none, since they don't have the same cardinality
The vertex of the graph of f(x) = (x + 1)² – 2 is Select one: O a. (-1,-2) O b. (-1,-2) O C. (1,2) O d. (1,-2) c. The roots of the pure quadratic equation 4x²160 are Select one: a. ±8 b. +4 O C. +1 O d. +2
Which of the statements below is TRUE regarding the difference formula f'(x) = 12h h4 -[f(x- 2h) – 8f(x – h) + 8f(x + h) – f(x+2h)]+ f5(c) 30 |a. It is a 5-point centred formula b. The truncation error is O(h4) Oc. When h is large, the truncation error dominates d. · The error for quadratic functions is 0
Use the following table. Need Help? Zeros of Jo. J1, Yo, and Y₁ Jo(x) J₁(x) 2.4048 0.0000 5.5201 3.8317 8.6537 7.0156 10.1735 13.3237 Submit Answer 11.7915 14.9309 Find the first four a > 0 defined by 1,(9a) -0. (Enter your answers from smallest to largest. Round your answers to four decimal places.) 91- 0₂ α- d4 Yo(x) 0.8936 3.9577 7.0861 10.2223 13.3611 Read It Y₁(x) 2.1971 5.4297 8.5960 11.7492 14.8974
I. Given that f, g, and h are functions defined by f(x) = 7 - x² g(x) = 3. Determine 1. Find the domain of g. 2. Determine (foh) (x) and obtain its domain. foh (104) (2) (a) and obtain its domain. √x² - 9 x² + x - 12 4. Evaluate (2f-g+h²) (-3) h(x) = =√16 - x²

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1.4 Given f(2) = (z + 5i)g(2). If is it also know that g(-5i) = 0, then which of the following statements is true? A. f has a zero of order seven(12) at z = 2 = -5i. B. f has a zero of order eight(13) at z = -5i. C. g has a simple zero z = -5i. D. For any zo € C where zo + -5i, f(20) # 0.