Provide an appropriate response.A student thinks that the graphs of the equations -  = 1 and   -  = 1are identical. Is the student correct? Explain.

What will be an ideal response?


No, the student is incorrect. Although both graph are hyperbolas, the graph of the first equation opens left and right, while the graph of the second equation opens up and down. (Explanations will vary.)

Mathematics

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Solve the problem.If f(x) is a differentiable function and f'(c) = 0 at an interior point c of f's domain, and if  for all x in the domain, must f have a local minimum at  Explain.

What will be an ideal response?

Mathematics

Evaluate the expression.

A. 30
B. 2!
C. 6
D.

Mathematics

Multiply. Write the answer in lowest terms and as a whole or mixed number where possible.24 ? 

A. 15
B. 6
C. 18
D. 6

Mathematics

Simplify.  

A.
B.  
C.
D.

Mathematics