Rationalize the denominator. Assume that all variables represent positive values.

A.
B.
C.
D.


Answer: B

Mathematics

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Use various trigonometric identities to simplify the expression then integrate.

A. -  cos4 ? + C
B. -  cos5 ? + C
C.  cos2 ? + C
D.  cos3 ? + C

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.xy +16 = 0

A. ? = 45°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
B. ? = 36.9°
 +  = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
C. ? = 45°
y'2 = -32x'
parabola
vertex at (0, 0)
focus at (-8, 0)
D. ? = 45°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is y'-axis
vertices at (0, ±4)

Mathematics

The figure shows an angle ? in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of ?.Find tan ?.

A. -  
B. - 
C.
D. - 

Mathematics

The measures of two supplementary angles are in the ratio 2:3. Find the measure of the larger angle.

A. 36° B. 54° C. 72° D. 108°

Mathematics