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2. The figure below shows the graph of a function k(x) and its tangent line at a point (a, 2). The average rate of change of k(x) between x = a and x = 6 is 1/6. (a, 2) (6,3) (6,6) k(x) a. Find the EXACT VALUES for a and b. b. With the given information, you can only compute one of either k'(2), k'(a), or k'(6). Identify which one and find its exact value. c. Even if it is not possible to find the exact value for all the derivatives k'(2), k'(a), and k'(6), list them from SMALLEST TO LARGEST.

2. The figure below shows the graph of a function k(x) and its tangent line at a point (a, 2). The average rate of change of k(x) between x = a and x = 6 is 1/6. (a, 2) (6,3) (6,6) k(x) a. Find the EXACT VALUES for a and b. b. With the given information, you can only compute one of either k'(2), k'(a), or k'(6). Identify which one and find its exact value. c. Even if it is not possible to find the exact value for all the derivatives k'(2), k'(a), and k'(6), list them from SMALLEST TO LARGEST.

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

I got

a) a=3, b=5/2

b) k'(a) = 1/6

c) k'(6), k'(a),k'(2)

Am I on the right track?

b. Recreate the missing card. That is, sketch the graph of g'. 2. The figure below shows the graph of a function k(x) and its tangent line at a point (a, 2). The average rate of change of k(x) between x = a and x = 6 is 1/6. a. Find the EXACT VALUES for a and b. SPIE I b. With the given information, you can only compute one of either k'(2), k'(a), or k'(6). Identify which one and find its exact value. c. Even if it is not possible to find the exact value for all the derivatives k'(2), k'(a), and k'(6), list them from SMALLEST TO LARGEST. 3. Elphaba the squirrel, the notorious criminal, is planning a prison escape. To aid her in her no her friend Walt has concocted a supplement that will make her stronger and more agile
Transcribed Image Text:b. Recreate the missing card. That is, sketch the graph of g'. 2. The figure below shows the graph of a function k(x) and its tangent line at a point (a, 2). The average rate of change of k(x) between x = a and x = 6 is 1/6. a. Find the EXACT VALUES for a and b. SPIE I b. With the given information, you can only compute one of either k'(2), k'(a), or k'(6). Identify which one and find its exact value. c. Even if it is not possible to find the exact value for all the derivatives k'(2), k'(a), and k'(6), list them from SMALLEST TO LARGEST. 3. Elphaba the squirrel, the notorious criminal, is planning a prison escape. To aid her in her no her friend Walt has concocted a supplement that will make her stronger and more agile
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