Provide an appropriate response.Explain why the equation cos-1  =  does not violate the Inverse Composition Rule.

What will be an ideal response?


The Inverse Composition Rule guarantees that  for every x in the domain of f. However,  is not in the restricted domain of the cosine function: [0, ?].

Mathematics

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Use the precise definition of a limit to prove the limit. Specify a relationship between ? and ? that guarantees the limit exists.x4 = 16

A. ? = min; Let ? > 0 and assume 0 <  < ?. Then  =    =  That is, for any ? > 0,  = ? whenever 0 <  < ?, provided 0 < ? ? . Therefore, x4 = 16.
B. ? = min; Let ? > 0 and assume 0 <  < ?. Then  =    =  That is, for any ? > 0,  = ? whenever 0 <  < ?, provided 0 < ? ? . Therefore, x4 = 16.
C. ? = min ; Let ? > 0 and assume 0 <  < ?. Then  =    <  That is, for any ? > 0,  < ? whenever 0 <  < ?, provided 0 < ? ? . Therefore, x4 = 16.
D. ? = min ; Let ? > 0 and assume 0 <  < ?. Then  =    <  That is, for any ? > 0,  < ? whenever 0 <  < ?, provided 0 < ? ? 
Therefore, x4=16.

Mathematics

Find the unknown length in the space figure.Find the distance d. Give an exact answer.

A. 7
B. 3
C. 7
D.

Mathematics

Solve the problem.Find the corresponding Fahrenheit temperature for a temperature of 84°C. Round to the nearest tenth, if necessary.

A. 208.8°F B. 28.9°F C. 64.4°F D. 183.2°F

Mathematics

Find the sum.-4 + (-13)

A. 9 B. -17 C. -9 D. 17

Mathematics