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.
Use these model equations: the linear equation y=0.225x+12.45, the quadratic equation y=0.0032(x-30)*2+19.2, and the exponential equation y=1.90(1,08)*x
a) Graph each equation on the same grid. Please complete thetable of values. Graph each equation on the same grid.
b) Which model is most reasonable? Explain your answer
University Calculus: Early Transcendentals (4th Edition)
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