DIFFERENTIAL EQUATION # 5 only АСTIVITY 2Direction: solve and analyze each of the following problem in neat and orderly manner.1. A thermometer reading 180C is brought into a room where the temperature is 700C ; 1 minute later the thermometer reading is 310C. Determine thethermometer reading 5 minutes after its brought into the room.2. It takes 12 minutes for an object at 1000C to cool to 800C in a room at 500C. How much longer will it take for its temperature to decrease to 700C.3. A thermometer reading 100C is brought into a room where the temperature is 180C ; 1 minute later the thermometer reading is 140C. how long does it take untilthe reading becomes 160C.4. A metal is heated up to a temperature of 5000C. it is then expose to a temperature of 380C. after 2 minutes the temperature of the metal becomes 1900C. whenwill the temperature be 1000C? what is the temperature after 4 minutes?5. A temperature is taken from an inside room to the outside, where the air temperature is 5 oF. After 1 minute, the thermometer reads 550F and after 5 minutes itreads 300F. what was the initial temperature of the thermometer when inside the room?

Answered: Image /qna-images/answer/e2257633-f428-4b93-9a1e-c31e6e358329.jpg

Answered: 4. A metal is heated up to a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 74E

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Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
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