CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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- Find the constant of proportionality. E varies jointly with I and R. If R=25 and I=5, then E=125.arrow_forwardbThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardTsunami 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?arrow_forward
- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardFind the constant of proportionality. I is inversely proportional to R. If R=20, then I=50.arrow_forwardFind the constant of proportionality. R is inversely proportional to the square of I. If I=25, then R=100.arrow_forward
- Differentiate.arrow_forwardPLEASE ANSWER 3! THANKS!arrow_forward3mr+ 8x The surface area of water in a bowl, A cm?, is A = Given that the rate of c 4T area is 4cm2s. Find dA (a) apabila r = 4cm %3D dA when r= 4cm dr (b) kadar perubahan jejari, dalam cms', apabila jejarinya ialah 4cm. the rate of change of the radius, in cms', when its radius is 4cm. (c) perubahan kecil bagi luas jika jejarinya bertambah daripada 4cm kepada 4.05cm. the small change of area if its radius increases from 4cm to 4.05cm.arrow_forward
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