For Exercises 86-88, a. Shade the area bounded by the given inequalities on a coordinate grid showing − 5 ≤ x ≤ 5 and − 5 ≤ y ≤ 5 . b. Suppose that an enthusiastic mathematics student makes a square dart board out of the portion of the rectangular coordinate system defined by − 5 ≤ x ≤ 5 and − 5 ≤ y ≤ 5 . Find the probability that a dart thrown at the target will land in the shaded region. y ≥ x and y ≤ 4
For Exercises 86-88, a. Shade the area bounded by the given inequalities on a coordinate grid showing − 5 ≤ x ≤ 5 and − 5 ≤ y ≤ 5 . b. Suppose that an enthusiastic mathematics student makes a square dart board out of the portion of the rectangular coordinate system defined by − 5 ≤ x ≤ 5 and − 5 ≤ y ≤ 5 . Find the probability that a dart thrown at the target will land in the shaded region. y ≥ x and y ≤ 4
Solution Summary: The author illustrates how to graph a coordinate grid with yge left|xright|, and the coordinates of the modulus graph.
a. Shade the area bounded by the given inequalities on a coordinate grid showing
−
5
≤
x
≤
5
and
−
5
≤
y
≤
5
.
b. Suppose that an enthusiastic mathematics student makes a square dart board out of the portion of the rectangular coordinate system defined by
−
5
≤
x
≤
5
and
−
5
≤
y
≤
5
. Find the probability that a dart thrown at the target will land in the shaded region.
y
≥
x
and
y
≤
4
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
T
1
7. Fill in the blanks to write the calculus problem that would result in the following integral (do
not evaluate the interval). Draw a graph representing the problem.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
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2
7
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MacBook Air
3
2
stv
DG
Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x.
h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1
-
-
-
f(x) = ☐
College Algebra with Modeling & Visualization (5th Edition)
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