PLEASE WRITE THE SOLUTIONS IN A CLEAR WAY TO EASILY UNDERSTAND, THANK YOU FOR HELPING ME ? 11:19 CTodayEdit11:17 AMActivity 5: Do what is asked. Show neat and complete solutions on your answer sheet.1. A Norman window is constructed by adjoining a semicircularwindow to the top of a rectangular window (See Figure 13.).If the perimeter of the window in 16 ft, find its dimensions sothat it admits the greatest amount of light possible.Figure 13: Norman Window2. Aprinter needs to make a poster that will have a total area of200 in and will have 1-inch margins on the sides, a 2-inchmargin on the top and a 1.5-inch margin on the bottom asshown in Figure 14. What dimensions will give the largestprinted area? (approximate your answer to 4 decimal places3. Find the dimensions of the right-circular cylinder of greatestvolume that can be inscribed in a right-circular cone of heighth and radiusr.https://openstax.orgFigure 14: Poster2 inch margintiS inch marginhttps://tutorial.math.lamar.edu

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ity 5: Do what is asked. Show neat and complete solutions on your answer A Norman window is constructed by adjoining a semicircular window to the top of a rectangular window (See Figure 13.) If the perimeter of the window in 16 ft, find its dimensions so that it admits the greatest amount of light possible. Figure

ity 5: Do what is asked. Show neat and complete solutions on your answer A Norman window is constructed by adjoining a semicircular window to the top of a rectangular window (See Figure 13.) If the perimeter of the window in 16 ft, find its dimensions so that it admits the greatest amount of light possible. Figure

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.2: Power Functions

Problem 17E: Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height...

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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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