R where m is the mass of your body, g is the acceleration due to gravity, and R is the radius of the earth. For example, W (0) is your weight when you are on the surface of the earth and W(R) is your weight when you are at the height R above the surface of the earth (yes, you are far away from the earth's atmosphere). In this question, we will approximate W (0) and W(R).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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(a)  Find L0(x), the linear approximation of W(x) at x = 0.

(b) . Use L0(x) to approximate W(0) and W(R).

Which approximation is more accurate? Why?

(c)  Find LR(x), the linear approximation of W(x) at x = R.

(d)  Use LR(x) to approximate W(0) and W(R).

Which approximation is more accurate? Why?

-2
W (x) = mg (1+
R
where m is the mass of your body, g is the acceleration due to gravity, and R is the
radius of the earth.
For example, W (0) is your weight when you are on the surface of the earth and W(R)
is your weight when you are at the height R above the surface of the earth (yes, you
are far away from the earth's atmosphere).
In this question, we will approximate W (0) and W(R).
Transcribed Image Text:-2 W (x) = mg (1+ R where m is the mass of your body, g is the acceleration due to gravity, and R is the radius of the earth. For example, W (0) is your weight when you are on the surface of the earth and W(R) is your weight when you are at the height R above the surface of the earth (yes, you are far away from the earth's atmosphere). In this question, we will approximate W (0) and W(R).
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