Inverse Variation as an n t h Power In Exercises 29-32, use the given values of k and n to complete the table for the inverse variation model y = k / x n . Plot the points in a rectangular coordinate system . k = 10 , n = 2
Inverse Variation as an n t h Power In Exercises 29-32, use the given values of k and n to complete the table for the inverse variation model y = k / x n . Plot the points in a rectangular coordinate system . k = 10 , n = 2
Solution Summary: The author calculates the values to complete the table for the direct variation model, y=k/xn. Substitute k=10 and n=2 in the equation.
Inverse Variation as an
n
t
h
Power In Exercises 29-32, use the given values of
k
and
n
to complete the table for the inverse variation model
y
=
k
/
x
n
. Plot the points in a rectangular coordinate system.
k
=
10
,
n
=
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.
MAT 160 College Algebra
FINAL EXAM
Page 3 of 11
5. The weight of a body varies inversely as the square of its distance from the center of
the Earth. Note: The radius of the Earth is approx. 4000 miles.
(a) (4 points) Find a variation model describing the relationship between w, a per-
son's weight, and d, the distance from the center of the Earth.
(b) (4 points) How much would a 180-lb person weigh 20 miles above the Earth's
surface?
farctar(7.x) dx
mile due west of a street intersection. Another car is located
8.
mile
4.
A police car is at rest and is located
north of the intersection and is traveling at a speed of 40 miles per hour (mph) due south toward the
intersection. At that instant, the radar in the police car records the rate at which the distance between the
two cars is changing. What speed is recorded by the radar?
35.8 mph
38.8 mph
41.2 mph
44.2 mph
53.7 mph
0 0
Chapter 3 Solutions
Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term
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