Explanation Given: If x i is the distance from the shore, the speed of tsunami is given by s = 15 f ( x i ) . Calculation: Let x i be the distance from the shore, the speed of tsunami represents as s = 15 f ( x i ) . Let speed s is constant over small distance, so the time to cover the distance is given by t i = distance speed = Δ x 15 f ( x i ) . The interval [ 0 , M ] divide into N subintervals... To determine b) The estimated time taken by tsunami to cover 1000 miles from the depth of ocean 100 miles.

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 8.9, Problem 29E

To determine

a)

To Show:The time required by the Tsunami to travel M miles towards the coast is $T = \int_{0}^{M} \frac{Δ d x}{\sqrt{15 f (x_{i})}}$

To determine

b)

The estimated time taken by tsunami to cover 1000 miles from the depth of ocean 100 miles.

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Chapter 8.9, Problem 28E

Chapter 8.9, Problem 30E

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Ch. 8.1 - Prob. 1PQ Ch. 8.1 - Prob. 2PQ Ch. 8.1 - Prob. 3PQ Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E

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a) To Show: The time required by the Tsunami to travel M miles towards the coast is T = ∫ 0 M Δ d x 15 f ( x i )

Solution Summary: The author calculates the estimated time taken by tsunami to cover 1000 miles from the depth of ocean 100 miles.

Concept explainers

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a)

To Show:The time required by the Tsunami to travel M miles towards the coast is $T = \int_{0}^{M} \frac{Δ d x}{\sqrt{15 f (x_{i})}}$

b)

The estimated time taken by tsunami to cover 1000 miles from the depth of ocean 100 miles.

Want to see the full answer?

Chapter 8 Solutions

a) To Show: The time required by the Tsunami to travel M miles towards the coast is T = ∫ 0 M Δ d x 15 f ( x i )

Solution Summary: The author calculates the estimated time taken by tsunami to cover 1000 miles from the depth of ocean 100 miles.

Concept explainers

Videos

a) To Show:The time required by the Tsunami to travel M miles towards the coast is T=∫0MΔdx15f(xi)

b) The estimated time taken by tsunami to cover 1000 miles from the depth of ocean 100 miles.

Want to see the full answer?

Chapter 8 Solutions

a)

To Show:The time required by the Tsunami to travel M miles towards the coast is $T = \int_{0}^{M} \frac{Δ d x}{\sqrt{15 f (x_{i})}}$

b)

The estimated time taken by tsunami to cover 1000 miles from the depth of ocean 100 miles.