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Exam (elaborations)

Pennsylvania State University MATH 141 CALC ANLY GEOM II . n-Class Worksheet Week 5. Solurions. Winter 2023.
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March 2023

2022/2023

A+
Math 141 In-Class Worksheet Week 5 Page 1 of 3 Question 1 Consider the triangle sliced below. (a) The area of the slice is approximately the area of a rectangle. Express the approximate slice area i n terms of hi and ∆x. (b) Use similar triangles to express the slice area in terms of the “slicing variables” or ”eventual integration variables” xi and ∆x. (c) Write a Riemann sum that approximates the total area of the triangle by adding up the areas of similar slices making up the enti...
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Exam (elaborations)

Pennsylvania State University MATH 141 CALC ANLY GEOM II Written Homework 9 Solutions. Winter 2023.
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5

March 2023

2022/2023

A+
Math 141 Written Homework 9 Page 1 of 5 Question 1 Do the following series converge or diverge? Find the sum of any convergent series. For (a) and (b), you can assume the suggested pattern continues. (a) 1 - 1 2 + 1 4 - 1 8 + · · · (b) 1.1 + 1.12 + 1.13 + 1.14 + · · · (c) ∞ Xn =3 5(0.4n) (d) ∞ Xn =1 (-1)n 32n+2 Math 141 Written Homework 9 Page 2 of 5 Question 2 A patient takes d mg of medicine every 8 hours. Every 8 hours, 80% of the medicine in the patient’s bloodstream is eliminate...
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