Solve the given third- or fourth-order differential equation.D3y + 3 D2y - 16 Dy - 48y = 0
A. y = c1e4x + c2e3x
B. y = c1e4x + c2e-3x
C. y = c1e4x + c2e-4x+ c3e3x
D. y = c1e4x + c2e-4x+ c3e-3x
Answer: D
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A roast is baking in the oven. The internal temperature R, in degrees Fahrenheit, of the roast t minutes after it is put in the oven is given by
.
?
The roast should be removed from the oven when its internal temperature is between 160 and 165 degrees. During what time period should the roast be removed? Round your answer to two decimal places.
A. Between 116.88 and 119.53 minutes after it is placed in the oven B. Between 102.07 and 105.07 minutes after it is placed in the oven C. Between 102.41 and 108.52 minutes after it is placed in the oven D. Between 107.20 and 112.12 minutes after it is placed in the oven
For the given Cartesian equation, write an equivalent polar equation.x2 - y2 = 4
A. r2 cos 2? = 4 B. cos2 ? - sin2 ? = 4r C. r cos 2? = 4 D. cos2 ? - sin2 ? = 4
Solve the equation.81t3 - 81t = 0
A. {0}
B. 
C. 
D. 
Solve the equation. If the solutions involve square roots, give both the exact solutions and the approximate solutions to three decimal places.98n2 + 63n = 0
A. 0
B. 
, - 
C. - 
, 0
D. 
, 0