EXAMPLE 9 Solving for One Variable in Terms of OthersThe surface area A of the closed rectangular box shown in Figure 1 can be calculatedfrom the length l, the width w, and the height h according to the formulaA = 2lw + 2wh + 2lhSolve for w in terms of the other variables in this equation.wFIGURE 1 A closed rectangular box

Given- A=2lw+2wh+2lh To solve- For w in terms of the other variables in this equation.

Answered: EXAMPLE 9 Solving for One Variable in…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section: Chapter Questions

Problem 39RE: Geometry The surface area S of the cylinder shown in the figure is approximated by the equation...

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Falling-Body Problems Use the formula h=16t2+v0t discussed in Example 7. How fast would a ball have to be thrown upward to reach a maximum height of 100 ft? [Hint: Use the discriminant of the equation 16t2v0t+h=0 .]
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Geometry The surface area S of the cylinder shown in the figure is approximated by the equation S=23.1432+23.143h. The surface area is 244.92 square inches. Find the height h of the cylinder.
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EXERCISE River flow The cross sectional area C, in square feet, of a river is given by the formula C=wd, where, w is the width of the river and d is the depth, both in feetSee Figure 5.58. The speed s of the flow, in feet per minute, is measured using a meter. The flow rate F, in cubic feet per minute, of the river is given by F=sC a Find a formula that gives F in terms of the variables w,d, and s. b Use the formula you found in part a to find the flow rate of the river that has a width of 23 feet, a depth of 2 feet, and flow speed of 24 feet per minute.
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The Skydiver Again When a skydiver jumps from an airplane, her downward velocity, n feet per second, before she opens her parachute is given by = 176 1 0.834t, where t is the number of seconds that have elapsed since she jumped from the airplane. We found earlier that the terminal velocity for the skydiver is 176 feet per second. How long does it take for her to reach 90 of terminal velocity?
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