Find the solution set of the system.
a.
Alt text: A graph showing two solid lines that intersect at (0, 4) with a triangular shaped area
beneath that point shaded in. One line passes through points (-2, -4) and (2, 10) and the
other line passes through points (4, -6) and (-2, 8).
b.
Alt text: A graph showing two straight dotted lines, one vertical and passing through the x-
axis at 3 and the other horizontal and passing through the y-axis at -4. The lines intersect at
point (3, -4). The area formed to the left of the vertical line and beneath the horizontal line is
shaded in.
c.
Alt text: A graph showing two dotted lines that intersect at (0, 4) with a triangular shaped
area beneath that point shaded in. One line passes through points (-2, -4) and (2, 10) and the other line passes through points (4, -6) and (-2, 8).
d.
c.
Alt text: A graph showing two dotted lines that intersect at (0, 4) with a triangular shaped
area beneath that point shaded in. One line passes through points (-2, -4) and (2, 10) and the other line passes through points (4, -6) and (-2, 8).
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Find the center, foci, and vertices of the ellipse. +
= 1
A. center at (0, 0)
foci at (0, -4) and (0, 4)
vertices at (0, -16), (0, 16)
B. center at (0, 0)
foci at (- 2, 0) and (2
, 0)
vertices at (-4, 0), (4, 0)
C. center at (0, 0)
foci at (0, 4) and (2, 0)
vertices at (0, 16), (4, 0)
D. center at (0, 0)
foci at (0, - 2) and (0, 2
)
vertices at (0, -4), (0, 4)
Find the area of the figure.
A. 13 square miles
B. 6 square miles
C. 23 square miles
D. 11 square miles
f (x) = x (2 ? x)
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.
Solve the problem.A container, in the shape of an inverted right circular cone, has a radius of 8 inches at the top and a height of 10 inches. At the instant when the water in the container is 9 inches deep, the surface level is falling at the rate of -1.5 in./s. Find the rate at which water is being drained.
A. -244.28 in.3/s B. -233.28 in.3/s C. -342 in.3/s D. -214.88 in.3/s