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Estimating error Refer to Theorem 7.2 and let f(x) = sin

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 55AE Chapter 7.6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 55AE

Estimating error  Refer to Theorem 7.2 and let \(f(x)=\sin e^{x}\).

(a) Find a Trapezoid Rule approximation to \(\int_{0}^{1} \sin \left(e^{x}\right) d x\) using n=40 subintervals.

(b) Calculate \(f^{\prime \prime}(x)\).

(c) Explain why \(\left|f^{\prime \prime}(x)\right|<6\) on [0,1], given that e<3. (Hint: Graph \(f^{\prime \prime}\).)

(d) Find an upper bound on the absolute error in the estimate found in part (a) using Theorem 7.2.

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Chapter 13:  The ABC of Prejudice involves three components: o Affective Component (emotional component), referred to as prejudice o Behavioral Component (actions), referred to as discrimination o Cognitive Component (thinking). referred to as stereotyping  Prejudice is an emotional reaction to a group, hostile or negative attitude toward people in a distinguishable group, based solely on their membership in that group  The behavioral component is the unjustified negative or harmful action toward members of a group simply because of their membership in that group  The cognitive component is a generalization about a group of people in which identical characteristics are assigned to virtually all members of the group, regardless of actual variation among the members  We can measure prejudice two ways: o Explicit Measures: involve directly (explicitly) asking people about their beliefs (self­report measures) o Implicit Measures: involve finding an indirect way to measure people’s beliefs (e.g., implicit association test; IAT)  The Ultimate Attribution Error (UAE) people attribute a group’s behavior to internal factors and overlook situational explanations  The Social Identity Theory is when people strive to enhance their self­esteem partly through their social identities: o In­group: group we belong to o Out­group: group we do not belong to  Relative Conflict Theory

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Chapter 7.6, Problem 55AE is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Estimating error Refer to Theorem 7.2 and let f(x) = sin