Provide an appropriate response.A student claims that  always exists, as long as a and b are both positive. Refute this by giving an example of a function for which this is not true.

What will be an ideal response?


Answers will vary, but f(x) =  where a < c < b and d a positive integer is a family of examples.

Mathematics

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Provide an appropriate response.Graph f(x) = cos-1 x together with its first derivative. Comment on the behavior of f and the shape of its graph in relation to the signs and values of f'. 

What will be an ideal response?

Mathematics

Convert the numeral to a numeral in base 10.1407

A. 77 B. 980 C. 35 D. 539

Mathematics

Evaluate the given binomial coefficient.

A.
B. 352,440
C.
D. 4005

Mathematics

Solve the problem.The slope of a given line is 3. If a line is to be drawn parallel to the given line, what will be its slope?

A.
B. 3
C. -3
D. - 

Mathematics