The approximate values of the solution at given initial value by fourth order predictor–corrector method with h = 0.1 at t = 0.4 , and t = 0.5 .

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Answer 1

Question

Chapter 8.4, Problem 6P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

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1. Show that f(x) = x3 is not uniformly continuous on R. 2. Show that f(x) = 1/(x-2) is not uniformly continuous on (2,00). 3. Show that f(x)=sin(1/x) is not uniformly continuous on (0,л/2]. 4. Show that f(x) = mx + b is uniformly continuous on R. 5. Show that f(x) = 1/x2 is uniformly continuous on [1, 00), but not on (0, 1]. 6. Show that if f is uniformly continuous on [a, b] and uniformly continuous on D (where D is either [b, c] or [b, 00)), then f is uniformly continuous on [a, b]U D. 7. Show that f(x)=√x is uniformly continuous on [1, 00). Use Exercise 6 to conclude that f is uniformly continuous on [0, ∞). 8. Show that if D is bounded and f is uniformly continuous on D, then fis bounded on D. 9. Let f and g be uniformly continuous on D. Show that f+g is uniformly continuous on D. Show, by example, that fg need not be uniformly con- tinuous on D. 10. Complete the proof of Theorem 4.7. 11. Give an example of a continuous function on Q that cannot be continuously extended to R. 12.…

can I see the steps for how you got the same answers already provided for μ1->μ4. this is a homework that provide you answers for question after attempting it three tries

1. Prove that for each n in N, 1+2++ n = n(n+1)/2. 2. Prove that for each n in N, 13 +23+ 3. Prove that for each n in N, 1+3+5+1 4. Prove that for each n ≥ 4,2" -1, then (1+x)" ≥1+nx for each n in N. 11. Prove DeMoivre's Theorem: fort a real number, (cost+i sint)" = cos nt + i sinnt for each n in N, where i = √√-1.

Answer 2

Question

Chapter 8.4, Problem 6P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 8.4, Problem 6P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 8.4, Problem 6P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 8.4, Problem 6P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Answer 6

Chapter 8.4, Problem 6P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

Answer 7

Chapter 8.4, Problem 6P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

Answer 8

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

Answer 9

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

Answer 10

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Answer 11

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 8.1 - Prob. 1P Ch. 8.1 - In each of Problems 1 through 6, find approximate...Ch. 8.1 - In each of Problems 1 through 6, find approximate...Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h = 0.1 at t = 0.4 , and t = 0.5 .

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The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

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