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
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Simplify the expression. Assume that all variables are non-negative.
A. x
B. x3
C. x6
D.
Write the partial fraction decomposition of the rational expression.
A. +
+
B. +
C. +
D. +
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)
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)