V APPLICATIONS1. Sohve for the orthogonal trayectories(a+* )y* = x*( 3a-x)2. A tonk nitially contoins too gallons of brinewhose concentration is Y½ lb/gal. Brine whose saltconcentration is 2 l/gal flows into the tank of theFate f 3 gal per minute. The well-stirred mixtureHlows out at a rate of e gavmin. Find salt contentof the brine and its concentration ofter Y2 hour.

1) solve for the orthogonal trajectories a+xy2=x23a-x ...i differentiate with…

Answered: T AppLiCATIONs 1. Schve for the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.
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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T AppLiCATIONs 1. Schve for the orthogonal trayectories (a+x)y² = x*( 3a-x)