Calculate the area of the surface S. S is the portion of the cone  +   =  that lies between z = 2 and z = 6.

A. 72?
B. 30?
C. 30
D. 24?


Answer: D

Mathematics

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Solve the problem.Find equations for the horizontal and vertical tangent lines to the curve 

A. Horizontal: y = 0 at (0, 0), y = 5 at  ; vertical: x =  at , x = -  at 

B. Horizontal: y =  at , y = -  at ; vertical: x = 5 at (5, 0), x = 0 at   

C. Horizontal: y =  at , y = -  at ; vertical: x = 0 at (0, 0), x = 5 at 

D. Horizontal: y = 5 at (5, 0), y = 0,  ; vertical: x =  at , x = -  at 

Mathematics

Use the half-angle formulas to simplify the given expression.

A. 4 sin 15x
B. 2 sin 15x
C.  sin 15x
D. 2 cos 15x

Mathematics

Add or subtract, as indicated.(x2 - 7xy + 5y2) + (9x2 - 3xy - y2) + (-6x2 + xy - y2)

A. 4x2 - 9xy + 5y2 B. 4x2 - 9xy + 3y2 C. 3x2 - 9xy + 7y2 D. 4x2 - 17xy + 3y2

Mathematics

Determine if the pair of polar coordinates represents the same point.(9, 94°), (9, -266°)

A. Yes B. No

Mathematics