In Exercises 21-26, use a polar coordinate system like the one shown for Exercises 1-10 to plot each point with the given polar coordinates. Then find another representation ( r , θ ) of this point in which a. r > 0 , 2 π < θ < 4 π . b. r < 0 , 0 < θ < 2 π . c. r > 0 , − 2 π < θ < 0. ( 4 , π 2 )
In Exercises 21-26, use a polar coordinate system like the one shown for Exercises 1-10 to plot each point with the given polar coordinates. Then find another representation ( r , θ ) of this point in which a. r > 0 , 2 π < θ < 4 π . b. r < 0 , 0 < θ < 2 π . c. r > 0 , − 2 π < θ < 0. ( 4 , π 2 )
Solution Summary: The author illustrates how the point is (4,pi2) in polar coordinate system.
In Exercises 21-26, use a polar coordinate system like the one shown for Exercises 1-10 to plot each point with the given polar coordinates. Then find another representation
(
r
,
θ
)
of this point in which
a.
r
>
0
,
2
π
<
θ
<
4
π
.
b.
r
<
0
,
0
<
θ
<
2
π
.
c.
r
>
0
,
−
2
π
<
θ
<
0.
(
4
,
π
2
)
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.
eric
pez
Xte
in
z=
Therefore, we have
(x, y, z)=(3.0000,
83.6.1 Exercise
Gauss-Seidel iteration with
Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i
Tol=10 to solve the following systems:
1.
5x-y+z = 10
2x-8y-z=11
-x+y+4z=3
iteration (x
Assi 2
Assi 3.
4.
x-5y-z=-8
4x-y- z=13
2x - y-6z=-2
4x y + z = 7
4x-8y + z = -21
-2x+ y +5z = 15
4x + y - z=13
2x - y-6z=-2
x-5y- z=-8
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f
Use Pascal's triangle to expand the binomial
(6m+2)^2
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A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
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Polar Coordinates Basic Introduction, Conversion to Rectangular, How to Plot Points, Negative R Valu; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=aSdaT62ndYE;License: Standard YouTube License, CC-BY