For Exercises 75-80, use a graphing utility to approximate the solution (s) to the system of equations. Round the coordinates to 3 decimal places. y = 0.2 e x y = − 0.6 x 2 − 2 x − 3
For Exercises 75-80, use a graphing utility to approximate the solution (s) to the system of equations. Round the coordinates to 3 decimal places. y = 0.2 e x y = − 0.6 x 2 − 2 x − 3
Use the fact that 14 gallons is approximately the same amount as 53 liters to find a mathematical model that relates liters y to gallons x.Then use the model to find the numbers of liters in 5 gallons and 25 gallons.
Consider an equation to explain the Academic Performance of students (AP) presented in equation 1.3. In
the equation, S, T and A refer to the number of hours the student studies (S), the number of textbook the
student buys (T) and class attendance (A).
AP = 4.32 + 0.280S + 0.0174A + 0.00024T + µ
(1.1)
(0.32) (0.035)
(0.0041)
(0.00054)
N =
209, R2
= 0.283
Using equation 1.1, test the hypothesis that T, the number of textbooks the student buys has no effect on
Academic Performance (AP), against the alternative that it has a positive effect at the 5% significance
level.
At the 95 percent confidence interval, test the hypothesis that class attendance by the student has no effect
on the student's academic performance.
At the end of an advertising campaign, weekly sales declined according to the
equation y = 10,000(4-0.06x) dollars, where x is the number of weeks after the end
of the campaign.
a. Determine the sales at the end of the ad campaign.
b. Determine the sales 7 weeks after the end of the campaign.
c. Does this model indicate that sales will eventually reach $0?
a. The sales at the end of the campaign are $
(Round to the nearest cent as needed.)
b. The sales 7 weeks after the end of the campaign are $.
(Round to the nearest cent as needed.)
c. Does this model indicate that sales will eventually reach $0?
No
Yes
University Calculus: Early Transcendentals (4th Edition)
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