Consider the function f(x) = x - 10kx + 25k2x %3D where k is a positive constant. Where is f(x) decreasing? O a. (0,5k) O b. (0,3k) U (3k, 5k) O c. (-∞,0)U (5k, 0) O d. (3k, 5k) O e. (-o, 0) U (3k, 5k) e
Consider the function f(x) = x - 10kx + 25k2x %3D where k is a positive constant. Where is f(x) decreasing? O a. (0,5k) O b. (0,3k) U (3k, 5k) O c. (-∞,0)U (5k, 0) O d. (3k, 5k) O e. (-o, 0) U (3k, 5k) e
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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Transcribed Image Text:Consider the function
f(x) = x - 10kx + 25k²x³
%3D
where k is a positive constant.
Where is f(x) decreasing?
a. (0,5k)
O b. (0,3k) U (3k, 5k)
O c. (-o,0) U (5k, o)
O d. (3k, 5k)
O e. (-∞,0) U (3k, 5k)
Finm
e
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