Solve the problem.Suppose that for an electrical appliance, voltage is given by  and amperage by  where t is time in seconds. The wattage is given by  Find the maximum wattage used by the appliance.

A. 404.46
B. 101.115
C. 202.23
D. 189


Answer: C

Mathematics

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Simplify the expression. Assume that all variables are non-negative.

A. x
B. x3
C. x6
D.

Mathematics

Write the partial fraction decomposition of the rational expression.

A.  +  + 
B.  + 
C.  + 
D.  + 

Mathematics

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

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

Mathematics

Graph the system of inequalities. Find the coordinates of the vertices.3y - x ? 9,y + 2x ? 10,y ? 0

A.


(-9, 0) , (5, 0)
B.


(-9, 0) , (3, 4) , (5, 0)
C.


(3, 4)
D.


(0, 10) , (3, 4) , (5, 0)

Mathematics