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2. To the right, you are given the graph of a function J. List the following quantities in order from smallest to largest. 0, f' (0.4), f' (1), f / (1.8), f' (3), f/ (3.6) Then, explain, using a complete sentence (or sentences), the strategy you used to rank the quantities. BHA f (x) 1 BAN 2 थी 4 100 Let

2. To the right, you are given the graph of a function J. List the following quantities in order from smallest to largest. 0, f' (0.4), f' (1), f / (1.8), f' (3), f/ (3.6) Then, explain, using a complete sentence (or sentences), the strategy you used to rank the quantities. BHA f (x) 1 BAN 2 थी 4 100 Let

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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2. To the right, you are given the graph of a function f. List the following quantities in order from smallest to largest. 0, f'(0.4), f'(1), f'(1.8), f'(3), f'(3.6) Then, explain, using a complete sentence (or sentences), the strategy you used to rank the quantities. 3. To the right, you are given the graph of the function P = f(t) = 100 1.5, which gives the population of a bacteria colony, P, after t hours. (a) Use the graph to estimate f'(1), and give a complete sen- tence interpretation of your answer in the context of this problem. (b) Use the limit definition of the derivative and a table to approximate f'(1) to within 0.1 of its true value. Show your table, and circle your final answer. f(x) 1 P 600+ 500 400 300 200 100- 2 f(t) = 100-1.5t 1 2 3 4 4 x t
Transcribed Image Text:2. To the right, you are given the graph of a function f. List the following quantities in order from smallest to largest. 0, f'(0.4), f'(1), f'(1.8), f'(3), f'(3.6) Then, explain, using a complete sentence (or sentences), the strategy you used to rank the quantities. 3. To the right, you are given the graph of the function P = f(t) = 100 1.5, which gives the population of a bacteria colony, P, after t hours. (a) Use the graph to estimate f'(1), and give a complete sen- tence interpretation of your answer in the context of this problem. (b) Use the limit definition of the derivative and a table to approximate f'(1) to within 0.1 of its true value. Show your table, and circle your final answer. f(x) 1 P 600+ 500 400 300 200 100- 2 f(t) = 100-1.5t 1 2 3 4 4 x t
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