Answered: Outside temperature over a day can be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A tsunami is a fast-moving sea wave typically caused by an underwater earthquake. The speed of a tsunami depends on the depth of the water. This relation can be expressed by the equation, S = V9.81d, where S, is the speed (in meters per second) of a tsunami in which the average depth of the water is d meters. Use this function to answer each question below. a) The Indian Ocean has an average depth of 3,960 meters. Estimate the speed of a tsunami in the Indian Ocean. Round to one decimal place. meters per second b) Scientist estimated that the average speed of a tsunami somewhere in the Pacific Ocean was 402.8 meters per second. What is the average depth of that location in the Pacific Ocean? Round the nearest whole number. Be sure to write the correct units with your answer.
3. A child holds a ball 4 feet above the ground and throws it. The ball follows a parabolic path reaching a maximum height of 8 feet when the ball is 3.5 = 7/2 horizontal feet from the boy. Write a function representing the height H of the ball as a function in terms of the horizontal distance d. Equation: NO DECIMALS.
State the domain of the function shown.

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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 85 degrees occurs at 4 PM and the average temperature for the day is 75 degrees. Find the temperature, to the nearest degree, at 7 AM.