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A. What would E'(1.5) = 4.5 represent? %3D i. Abe needs to use 1.5 moles of rust in order to release 4.5 megajoules of energy. ii. Abe needs to use 4.5 moles of rust in order to release 1.5 megajoules of energy. iii. With respect to a control experiment using up 1.5 moles of rust, the energy released in a thermite reaction increases by 4.5 megajoules per mole of rust. iv. The first 1.5 moles of rust each contributed 4.5 megajoules of energy. B. Which of the following would best explain the value of E'(8)? i. Abe's 19th century equipment couldn't measure energies in excess of 6 megajoules. ii. Scarcity of decent writing paper in the 19th century didn't give Abe enough room for a column of numbers bigger than 6 million. iii. If the amount of rust is around 8 moles, the reaction stops after all the aluminum gets used up, and the energy released is the same no matter how much rust there is. iv. Diminishing marginal returns on investment. C. Which is the most likely value for Et"(1.5): positive, negative, or zero? Explain your answer.

A. What would E'(1.5) = 4.5 represent? %3D i. Abe needs to use 1.5 moles of rust in order to release 4.5 megajoules of energy. ii. Abe needs to use 4.5 moles of rust in order to release 1.5 megajoules of energy. iii. With respect to a control experiment using up 1.5 moles of rust, the energy released in a thermite reaction increases by 4.5 megajoules per mole of rust. iv. The first 1.5 moles of rust each contributed 4.5 megajoules of energy. B. Which of the following would best explain the value of E'(8)? i. Abe's 19th century equipment couldn't measure energies in excess of 6 megajoules. ii. Scarcity of decent writing paper in the 19th century didn't give Abe enough room for a column of numbers bigger than 6 million. iii. If the amount of rust is around 8 moles, the reaction stops after all the aluminum gets used up, and the energy released is the same no matter how much rust there is. iv. Diminishing marginal returns on investment. C. Which is the most likely value for Et"(1.5): positive, negative, or zero? Explain your answer.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Abe Lincoln, stump remover, mixes a thimbleful of aluminum shavings with varying amounts of rust to create explosions that break up the root structure of some particularly difficult trees. He measures the energy released by each such reaction and tabulates che following results. m (moles of rust) E(m) (megajoules) 1 3.5 5.5 6 6 1 1.5 4 8 15 30 A. What would E'(1.5) = 4.5 represent? %3D i. Abe needs to use 1.5 moles of rust in order to release 4.5 megajoules of energy. ii. Abe needs to use 4.5 moles of rust in order to release 1.5 megajoules of energy. iii. With respect to a control experiment using up 1.5 moles of rust, the energy released in a thermite reaction increases by 4.5 megajoules per mole of rust. iv. The first 1.5 moles of rust each contributed 4.5 megajoules of energy. B. Which of the following would best explain the value of E'(8)? i. Abe's 19th century equipment couldn't measure energies in excess of 6 megajoules. ii. Scarcity of decent writing paper in the 19th century didn't give Abe enough room for a column of numbers bigger than 6 million. iii. If the amount of rust is around 8 moles, the reaction stops after all the aluminum gets used up, and the energy released is the same no matter how much rust there is. iv. Diminishing marginal returns on investment. C. Which is the most likely value for Ett(1.5): positive, negative, or zero? Explain your answer.
Transcribed Image Text:2. Abe Lincoln, stump remover, mixes a thimbleful of aluminum shavings with varying amounts of rust to create explosions that break up the root structure of some particularly difficult trees. He measures the energy released by each such reaction and tabulates che following results. m (moles of rust) E(m) (megajoules) 1 3.5 5.5 6 6 1 1.5 4 8 15 30 A. What would E'(1.5) = 4.5 represent? %3D i. Abe needs to use 1.5 moles of rust in order to release 4.5 megajoules of energy. ii. Abe needs to use 4.5 moles of rust in order to release 1.5 megajoules of energy. iii. With respect to a control experiment using up 1.5 moles of rust, the energy released in a thermite reaction increases by 4.5 megajoules per mole of rust. iv. The first 1.5 moles of rust each contributed 4.5 megajoules of energy. B. Which of the following would best explain the value of E'(8)? i. Abe's 19th century equipment couldn't measure energies in excess of 6 megajoules. ii. Scarcity of decent writing paper in the 19th century didn't give Abe enough room for a column of numbers bigger than 6 million. iii. If the amount of rust is around 8 moles, the reaction stops after all the aluminum gets used up, and the energy released is the same no matter how much rust there is. iv. Diminishing marginal returns on investment. C. Which is the most likely value for Ett(1.5): positive, negative, or zero? Explain your answer.
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