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Previous Problem Problem List Next Problem (1 point) We are going to approximate 9 using y = x at x = 8. We will do this by approximating Ay, the change in y from x = 8 to x = 9. You may find figure 3.61 of the textbook useful. 4 (A) First, what is 8, the y-value at x=8? 8 = (B) What is Ax, the change in x from x = 8 to x = 9? Ax = (your answer should be a number) (C) If dx = Ax, what is dx? dx = (your answer should be a number) (D) What is dy/dx at x = 8? dy dx = (your answer should be a number) (E) Solve your answer to part (D) for dy: dy= (your answer should be in terms of dx) (F) Take your answer to part (C) and plug it into your answer to part (E): dy = (your answer should be a number) (G) Now, remember that Ay is the difference between 8 and 9. Use the approximation Aydy and your answer to part (F) to approximate 9: Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 5 attempts remaining. Previous Problem Problem List Next Problem (1 point) We are going to approximate 9 using y = x at x = 8. We will do this by approximating Ay, the change in y from x = 8 to x = 9. You may find figure 3.61 of the textbook useful. 4 (A) First, what is 8, the y-value at x=8? 8 = (B) What is Ax, the change in x from x = 8 to x = 9? Ax = (your answer should be a number) (C) If dx = Ax, what is dx? dx = (your answer should be a number) (D) What is dy/dx at x = 8? dy dx = (your answer should be a number) (E) Solve your answer to part (D) for dy: dy= (your answer should be in terms of dx) (F) Take your answer to part (C) and plug it into your answer to part (E): dy = (your answer should be a number) (G) Now, remember that Ay is the difference between 8 and 9. Use the approximation Aydy and your answer to part (F) to approximate 9: Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 5 attempts remaining.
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A Given that y x we want to find 8 8 22 B The change in x from x 8 to x 9 is 1 C If dx Ax the... View the full answer
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