Find all zeros of ƒ(x) = x2(x – 100)(x – 200). Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero.
Find all zeros of ƒ(x) = x2(x – 100)(x – 200). Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero.
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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Find all zeros of ƒ(x) = x2(x – 100)(x – 200). Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero.
a. x = 0, multiplicity = 2, touch
x = 100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross
x = 100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross
b.x = 0, multiplicity = 2, touch
x = –100, multiplicity = 1, cross
x = –200, multiplicity = 1, cross
x = –100, multiplicity = 1, cross
x = –200, multiplicity = 1, cross
c .x = 0, multiplicity = 2, touch
x = –100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross
x = –100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross
d .x = 0, multiplicity = 2, cross
x = 100, multiplicity = 1, touch
x = 200, multiplicity = 1, touch
x = 100, multiplicity = 1, touch
x = 200, multiplicity = 1, touch
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