Problem 4. A scientist is testing the properties of a dense meteorite. The force of attraction F (in Newtons) between an object with mass m (in kilograms) and the meteorite when they are d meters apart is defined by the formula below F = f(m, d) = 1000- (a) Compute fa(80, 30) and interpret what it means in context of this situation. Round any numbers to three decimals (b) Construct a linear approximation L(m, d) for the force of attraction for a 50 kilogram object that is 40 meters away from the meteorite. Compute L(48,41) and interpret what this means in context of the situation.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 4. A scientist is testing the properties of a dense meteorite. The force of attraction F (in Newtons) between an object with mass m (in kilograms) and the meteorite when they are d
meters apart is defined by the formula below
m.
F = f(m, d) = 1000-
d2
(a) Compute fa(80, 30) and interpret what it means in context of this situation. Round any numbers to three decimals
(b) Construct a linear approximation L(m, d) for the force of attraction for a 50 kilogram object that is 40 meters away from the meteorite. Compute L(48, 41) and interpret what this
means in context of the situation.
Transcribed Image Text:Problem 4. A scientist is testing the properties of a dense meteorite. The force of attraction F (in Newtons) between an object with mass m (in kilograms) and the meteorite when they are d meters apart is defined by the formula below m. F = f(m, d) = 1000- d2 (a) Compute fa(80, 30) and interpret what it means in context of this situation. Round any numbers to three decimals (b) Construct a linear approximation L(m, d) for the force of attraction for a 50 kilogram object that is 40 meters away from the meteorite. Compute L(48, 41) and interpret what this means in context of the situation.
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