Explanation Given: f ( a + d x ) g ( a + d x ) = f ( a ) + f ' ( a ) d x g ( a ) + g ' ( a ) d x = f ' ( a ) d x g ' ( a ) d x f ( a + d x ) g ( a + d x ) = f ' ( a ) g ' ( a ) Concept Used: The L’Hospital’s rule says function f and g are differentiable on an open interval I except possibly at a point c contained in I

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.5, Problem 49PS

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Give the necessary conditions for the L’hospital’s rule.

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Chapter 4.5, Problem 48PS

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In a section of an English 201 class, the professor decides to be “generous” with the students and will grade the next exam in a unique way. Grades will be assigned according to the following rule: The top 10% receive A’s, the next 20% receive B’s, the middle 40% receive C’s, the next 20% receive D’s, and the bottom 10% receive F’s. Some may refer to this type of grading as “curving” which gave rise to the phrase, “Professor, do you curve the grades?” (a) Where did the term "curving" come from (b) Which curve is this referring to? (c) What do you think is the purpose of grading exams on a “curve”. Students usually like when professors grade on a curve even though it is likely they do not understand what that involves. (a) Who do you think benefits from grading exams in a curve? Do you think all students will like this method? Explain. Do you think this method of grading is fair to all students? Under what circumstances would some students NOT like this method of grading? Explain.

In a section of an English 201 class, the professor decides to be "generous" with the students and will grade the exam in a unique way. Grades will be assigned according to the follwing rule: the top receives A's, the next 20% receive B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Some may refer to this as "curving" The 40 grades were as follows: 30, 53, 88, 69, 77, 57, 58, 43, 63, 51, 69, 88, 86, 84, 50, 83, 91, 76, 57, 90, 45, 79, 41, 80, 62, 66, 71, 58, 92, 85, 57, 74, 63, 60, 99, 85, 70, 93, 67, 53 Do you think ths method of grading is fair to all students? Explain your answer 2. Under what circumstances would some students NOT like this method of grading? 3. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D 4. After doing the previous 3 parts explain the term "grading on a curve" what does it involve? what curve is it referring to?

Chapter 4 Solutions

Calculus

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Give the necessary conditions for the L’hospital’s rule.

Solution Summary: The author explains the L'hospital's rule, which says functions are differentiable on an open interval I except possibly at a point c contained in

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Give the necessary conditions for the L’hospital’s rule.

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Chapter 4 Solutions