Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.24xy - 7y2 + 36 = 0
A. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±3)
B. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)
C. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ± 
)
D. ? = 53.1°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)
Answer: B
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Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find C'(50).
A. C'(50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. B. C'(50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. C. C'(50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. D. C'(50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles.
Write an equation of the line with the given slope, m, and y-intercept (0, b).m = - 
, b = 9
A. y = - 
x + 9
B. y = 
x + 9
C. y = - 
x - 9
D. y = 
x - 9
Find the assessed valuation for the property.Fair market value:$1,355,000Rate of assessment:69%
A. $9,349,500 B. $467,475 C. $934,950 D. $420,050
Solve the problem.Money magazine reports that the percentage of trading days in which the Dasdaq loses or gains 2% or more has been increasing since 1995 indicating more volatility in the Dasdaq. Use a graphing utility to fit an exponential function to the data. Predict the percentage of trading days in 2001 having such swings in value.
A. y = 1.849e0.531x, 76 days B. y = 1.669x1.706, 46 days C. y = 1.278e0.611x, 92 days D. y = 2.353e0.610x, 91 days