Four Calculus II students have solved I sin sin(x) cos(x) dx. Their solutions are below. Use what you know about calculus to identify which students are correct, then explain how you know which students are correct. This question is testing standard D7, so make sure your answer shows com- petency with taking derivatives!!!! Proposed solutions: Terence & Landon sin²(x) + C Emily -cos²(x) + C George - cos(x) sin(x) + C

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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1. D7:I can compute derivatives using the product, quotient, and chain rules.
Four Calculus II students have solved /s
sin(x) cos(x) dx. Their solutions are below. Use what
you know about calculus to identify which students are correct, then explain how you know which
students are correct. This question is testing standard D7, so make sure your answer shows com-
petency with taking derivatives!!!!
Proposed solutions:
Terence & Landon
sin²(x) + C
Emily
- cos²(x) + C
George
- cos(x) sin(x) + C
2. I1: I can interpret the meaning of an integral in context and recognize when an integral would be
suitable to model a real life situation.
p(x) measures the amount of coal that is produced in the US annually, measured in billions of
tons per year.
What quantity would
6
S.P
p(x) dx measure? Include units, and a time frame if relevant.
Transcribed Image Text:1. D7:I can compute derivatives using the product, quotient, and chain rules. Four Calculus II students have solved /s sin(x) cos(x) dx. Their solutions are below. Use what you know about calculus to identify which students are correct, then explain how you know which students are correct. This question is testing standard D7, so make sure your answer shows com- petency with taking derivatives!!!! Proposed solutions: Terence & Landon sin²(x) + C Emily - cos²(x) + C George - cos(x) sin(x) + C 2. I1: I can interpret the meaning of an integral in context and recognize when an integral would be suitable to model a real life situation. p(x) measures the amount of coal that is produced in the US annually, measured in billions of tons per year. What quantity would 6 S.P p(x) dx measure? Include units, and a time frame if relevant.
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