2) Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a comma-separated list.) 3x2 − 9x + 5 = 0 x = Provide solutions accurate to two decimal places. smaller x-valuex= larger x-valuex= 3) Data from Target's 2014 annual report† indicate that the equation of change for the revenue R, in millions of dollars, from 2010 through 2014 is dR dt = 1647.7, where t is the time, in years, since 2010. If the initial revenue is 65,825.4 million dollars, find an equation that gives R as a linear function of t. R(t) = 5) Our new magazine initially sells 400 copies per month. Research indicates that a vigorous advertising campaign could increase sales by 20% each month if our market were unlimited. But research also indicates that magazine sales in our area are unlikely to exceed 2000 per month. Make a logistic model of projected magazine sales. (Use t as your variable. Round r to three decimal places.) N(t)= 6) A ladder leans against a wall so that its slope is 1.40. The top of the ladder is 7 vertical feet above the ground. What is the approximate horizontal distance from the base of the ladder to the wall? (Assume that the positive direction points from the base of the ladder toward the wall.) How many ft? 7) Compact florescent light bulbs save energy when compared to traditional incandescent bulbs. Our green energy campaign includes efforts to get local residents to change their incandescent bulbs to florescent bulbs. Initially 204 households make the change. Market studies suggest that, in the absence of limiting factors, we could increase that number by 25% each month. In our target area, there are 240,924 households, which we take as the limiting value. Make a logistic model that gives the number of households converting to florescent bulbs after t months. (Use t as your variable. Round r to three decimal places.) N(t) = 8) Our new magazine initially sells 400 copies per month. Research indicates that a vigorous advertising campaign could increase sales by 10% each month if our market were unlimited. But research also indicates that magazine sales in our area are unlikely to exceed 1600 per month. Make a logistic model of projected magazine sales. (Use t as your variable. Round r to three decimal places.) N(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2) 

Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a comma-separated list.)
3x2 − 9x + 5 = 0
x = 
 
 Provide solutions accurate to two decimal places.
smaller x-valuex=
larger x-valuex=
 
3) 
Data from Target's 2014 annual report† indicate that the equation of change for the revenue R, in millions of dollars, from 2010 through 2014 is
dR
dt
 = 1647.7,
where t is the time, in years, since 2010. If the initial revenue is 65,825.4 million dollars, find an equation that gives R as a linear function of t.
R(t) = 
 
5) Our new magazine initially sells 400 copies per month. Research indicates that a vigorous advertising campaign could increase sales by 20% each month if our market were unlimited. But research also indicates that magazine sales in our area are unlikely to exceed 2000 per month. Make a logistic model of projected magazine sales. (Use t as your variable. Round r to three decimal places.)

N(t)=
 
6) A ladder leans against a wall so that its slope is 1.40. The top of the ladder is 7 vertical feet above the ground. What is the approximate horizontal distance from the base of the ladder to the wall? (Assume that the positive direction points from the base of the ladder toward the wall.)
How many ft?
 
7) Compact florescent light bulbs save energy when compared to traditional incandescent bulbs. Our green energy campaign includes efforts to get local residents to change their incandescent bulbs to florescent bulbs. Initially 204 households make the change. Market studies suggest that, in the absence of limiting factors, we could increase that number by 25% each month. In our target area, there are 240,924 households, which we take as the limiting value. Make a logistic model that gives the number of households converting to florescent bulbs after t months. (Use t as your variable. Round r to three decimal places.)
N(t) =
 
8) Our new magazine initially sells 400 copies per month. Research indicates that a vigorous advertising campaign could increase sales by 10% each month if our market were unlimited. But research also indicates that magazine sales in our area are unlikely to exceed 1600 per month. Make a logistic model of projected magazine sales. (Use t as your variable. Round r to three decimal places.)
N(t) =
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