A 20-in. satellite dish for a television has parabolic cross sections. A coordinate system is chosen so that the vertex of a cross section through the center of the dish is located at 0 , 0 . The equation of the parabola is modeled by x 2 = 25.2 y , where x and y are measured in inches a. Where should the receiver be placed to maximize signal strength? That is, where is the focus? (See Example 1) b. Determine the equation of the directrix.
A 20-in. satellite dish for a television has parabolic cross sections. A coordinate system is chosen so that the vertex of a cross section through the center of the dish is located at 0 , 0 . The equation of the parabola is modeled by x 2 = 25.2 y , where x and y are measured in inches a. Where should the receiver be placed to maximize signal strength? That is, where is the focus? (See Example 1) b. Determine the equation of the directrix.
A 20-in. satellite dish for a television has parabolic cross sections. A coordinate system is chosen so that the vertex of a cross section through the center of the dish is located at
0
,
0
.
The equation of the parabola is modeled by
x
2
=
25.2
y
,
where x and yare measured in inches
a. Where should the receiver be placed to maximize signal strength? That is, where is the focus? (See Example 1)
b. Determine the equation of the directrix.
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
F3
a
FEB
9
2
7
0
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) = ☐
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