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a. Let F(x) be an antiderivative of f(x) such that F(1) = 0. Then the area under the graph of F(x) between x = 1 and x = 9 is f(9). b. You are investigating your favorite youtuber. You learned from your investigations that she launched her YouTube channel with 30 subscribers on April 1, 2020. Also, each week, the number of new subscribers increased by 25% from the previous week. Then the number of subscribers n weeks after April 1, 2020 is represented by the finite geometric series 30 + 30(1.25) + 30(1.25)² + ... +30(1.25)". 5k If th r5k. J:f from

a. Let F(x) be an antiderivative of f(x) such that F(1) = 0. Then the area under the graph of F(x) between x = 1 and x = 9 is f(9). b. You are investigating your favorite youtuber. You learned from your investigations that she launched her YouTube channel with 30 subscribers on April 1, 2020. Also, each week, the number of new subscribers increased by 25% from the previous week. Then the number of subscribers n weeks after April 1, 2020 is represented by the finite geometric series 30 + 30(1.25) + 30(1.25)² + ... +30(1.25)". 5k If th r5k. J:f from

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 1 For each of the statements below, state whether the statement is 'True' and 'False' otherwise. Clear justify your answers. a. Let F(x) be an antiderivative of f(x) such that F(1) = 0. Then the area under the graph of F(x) between x = = 1 and x = 9 is f(9). b. You are investigating your favorite youtuber. You learned from your investigations that she launched her YouTube channel with 30 subscribers on April 1, 2020. Also, each week, the number of new subscribers increased by 25% from the previous week. Then the number of subscribers n weeks after April 1, 2020 is represented by the finite geometric series 30 + 30(1.25) + 30(1.25)² + +30(1.25)”. converges then the sequence {} converges to a number different from c. If the series zero. ∞ k=1 5k k!
Transcribed Image Text:Question 1 For each of the statements below, state whether the statement is 'True' and 'False' otherwise. Clear justify your answers. a. Let F(x) be an antiderivative of f(x) such that F(1) = 0. Then the area under the graph of F(x) between x = = 1 and x = 9 is f(9). b. You are investigating your favorite youtuber. You learned from your investigations that she launched her YouTube channel with 30 subscribers on April 1, 2020. Also, each week, the number of new subscribers increased by 25% from the previous week. Then the number of subscribers n weeks after April 1, 2020 is represented by the finite geometric series 30 + 30(1.25) + 30(1.25)² + +30(1.25)”. converges then the sequence {} converges to a number different from c. If the series zero. ∞ k=1 5k k!
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