Provide an appropriate response.Graph y = - tan x and its derivative together on . Does the graph of  appear to have a smallest slope? If so, what is it? If not, explain.

What will be an ideal response?





No, the graph of  does not appear to have a smallest slope. The slope of the graph of y = - tan x decreases without bound as x approaches ?/2 or -?/2.

Mathematics

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Evaluate.If f(x) = x - 5 and g(x) = x - 1, evaluate (f + g)(2).

A. 0 B. 8 C. -2 D. 10

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Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible.Vertical asymptotes x = -3, x = 5

A. f(x) = 
B. f(x) = 
C. f(x) = 
D. f(x) = 

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Find the exact value under the given conditions.Given sin ? = - , with ? in quadrant IV, and tan ? = - , with ? in quadrant II. Find sec ( ? + ?).

A. - 
B.
C. - 
D.

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Solve.The pitch of a screw is the distance between threads. With each complete rotation of the screw, it goes in or out a distance equal to its pitch. How far will a screw with a pitch of  in. go into a piece of wood when it is turned 10 complete rotations clockwise?

A.  in.
B.  in.
C.  in.
D.  in.

Mathematics