Solve the problem.Graph y = sin  and y = csc  together for -2? ? x ? 2?. Comment on the behavior of csc  in relation to the signs and values of sin .

What will be an ideal response?


When y = sin  is at a maximum point, which is at x = (4n + 1)? for all integers n, y = csc  is at a minimum point. Similarly, when y = sin  is at minimum point, , which is at x = (4n - 1)? for all integers n, y = csc  is at a maximum point.

Mathematics

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Provide an appropriate response.Write an "area" word problem for which finding the solution would involve evaluating the double integral

What will be an ideal response?

Mathematics

Solve the problem.If m?y = 109° in the following figure, find the measures of ?w, ?x, and ?z. 

A. m?w = 109°, m?x = m?z = 71° B. m?w = -19°, m?x = m?z = 71° C. m?w = 71°, m?x = m?z = 109° D. m?w = 109°, m?x = m?z = -19°

Mathematics

Write the fraction in decimal notation.

A. 1.0625 B. 1.08625 C. 1.25 D. 1.075

Mathematics

Simplify. 

A.
B.
C.  
D.  

Mathematics