Solve the problem.A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 144 ft/sec, and the gorge is 224 ft deep, during what interval can the flare be seen?(h = -16t2 + vot + ho.)

A. 0 < t < 2
B. 2 < t < 7
C. 4 < t < 9
D. 6 < t < 11


Answer: B

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (cosh t)i + (sinh t)j + tk 

A. T = -  (tanh t sech t)i  + j  + (sech t)k; N = (-sech t)i  - (tanh t)k 
B. T = (tanh t sech t)i  + j  + (sech t)k; N = (sech2 t)i  - (sinh t)k 
C. T = - (tanh t)i  + j  + (sech t)k; N = (-sech t)i  - (sinh t)k 
D. T = (tanh t)i  + j  + (sech t)k; N = (sech t)i  - (tanh t)k 

Mathematics

Solve the problem.The data below gives the eye colors of 20 students in a Statistics class. Make a frequency table for the data. 

A.  

B.  

C.  

D.  

E.

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Find the real or imaginary solutions by completing the square.2x2 - 4x - 6 = 0

A.
B.
C.
D.

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Use the graph to find the intervals on which it is increasing, decreasing, or constant.

A. Decreasing on (-?, ?) B. Decreasing on (-?, 0); increasing on (0, ?) C. Increasing on (-?, ?) D. Increasing on (-?, 0); decreasing on (0, ?)

Mathematics