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.
a
->
f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem)
Muslim_maths
Use Green's Theorem to evaluate F. dr, where
F = (√+4y, 2x + √√)
and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to
(0,0).
Evaluate
F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line
π 1
1
segment starting at the point (8,
'
and ending at the point (3,
2
3'6
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