Find absolute maximum and minimum values of the function, if they exist, over the indicated interval. Where no interval is specified, use the real line. List your answers in terms of ordered pairs.

y = sin (2x) ? cos (x); [0, 2? ]


Absolute minima at (0, ?1) and (2? , ?1) ;
absolute maximum at (? , 2)

Mathematics

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Evaluate the improper integral or state that it is divergent.

A.
B. Divergent
C.
D.

Mathematics

The distance d from the point (x1, y1) to the line Ax + By = C is given by the formula  Find the exact distance from the given point to the given line.(-8, 2), y = -6x + 4

A.
B.
C.
D.

Mathematics

Find the center and the radius of the circle.x2 - 18x + 81 + y2 + 2y + 1 = 4

A. (1, -9), r = 4 B. (-1, 9), r = 2 C. (-9, 1), r = 4 D. (9, -1), r = 2

Mathematics

Express the radical in simplified form.- 

A. 7
B. -7
C. -6
D. -2

Mathematics