Q 1. The total mass of a variable density rod is given by p(x)A(x) where m = mass, p(x) = density, A.(x) = cross-sectional area, r = distance along the rod, and L = the total length of the rod. Determine the mass in grams to the best possible accuracy for the following data, measured for a 20m length rod. I, m 46 8 10| 12| 14 16 18 20 P, g/cm³ 4.00 | 5.8 3.95 | 6.9 | 3.80 3.74 5.6 3.55 3.41 | 6.7 3.30 Ae, cm? 120 102 103 | 116| 110 114 120 | 130 133 126 150

Q 1. The total mass of a variable density rod is given by p(x)A(x) where m = mass, p(x) = density, A.(x) = cross-sectional area, r = distance along the rod, and L = the total length of the rod. Determine the mass in grams to the best possible accuracy for the following data, measured for a 20m length rod. I, m 46 8 10| 12| 14 16 18 20 P, g/cm³ 4.00 | 5.8 3.95 | 6.9 | 3.80 3.74 5.6 3.55 3.41 | 6.7 3.30 Ae, cm? 120 102 103 | 116| 110 114 120 | 130 133 126 150

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

See similar textbooks

Similar questions

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
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?
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.
Find the constant of proportionality. E varies jointly with I and R. If R=25 and I=5, then E=125.