Find the general equation of the orthogonal trajectories of the curves for the given equations.The cubic curves y = cx3

A. y2 + 3x2= c
B. 3y2 - x2= c
C. 3y2 + x2= c
D. y2 - 3x2= c


Answer: C

Mathematics

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A. Yes B. No

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The following graph shows the actual percentage of U.S. households with a computer as a function of household income (the data points) and a logistic model of these data (the curve). The logistic model is

?

?
where x is the household income in thousands of dollars. For low incomes, the logistic model is approximately exponential. Which exponential model best approximates P(x) for small x? Round the coefficients to the nearest hundredth.
?

?
?P(x) = ________ ·( ________)x 

What will be an ideal response?

Mathematics

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Mathematics