Solve the problem.Encode the message BEWARE OF DOG using the one-to-one function defined by f(x) = x3 - 1. Use the alphabet coding method (A = 1, B = 2, C = 3, ...). Give the inverse function that the decoder would need when the message is received.

What will be an ideal response?


7 124 12166 0 5831 124 3374 215 63 3374 342; f-1(x) = 

Mathematics

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Sketch the graph and show all local extrema and inflection points.y = x + cos 2x, 0 ? x ? ?

A. Local minimum: ; local maximum:  
Inflection points:  and 

B. Local minimum: ; local maximum: 
Inflection point: 

C. No local extrema.
Inflection point: 

D. Local minimum: (1.444, -0.246); local maximum: (0.126, 1.031)
Inflection points: (0.785, 0.393) and (2.356, 1.178)

Mathematics

Write the shaded area in the figure as a mixed number and as an improper fraction.

A. 2;  
B. 1;  
C. 1;  
D. 2;  

Mathematics

Solve the problem. Round unit depreciation to nearest cent when making the schedule, and round final results to the nearest cent. A construction company purchased a piece of equipment for $1710. The expected life is 7000 hours, after which it will have a salvage value of $280. Find the amount of depreciation for the first year if the piece of equipment was used for 1600 hours. Use the units-of-production method of depreciation.

A. $320.00 B. $186.67 C. $228.00 D. $390.86

Mathematics

Find the derivative of the function.y =  + 

A.  = 12 csc x cot x - sec2x
B.   = 12 csc x cot x - csc2x
C.  = 12 cos x - csc2x
D.  = -12 csc x cot x + sec2x

Mathematics