The curve y = r5 + 17x4 + 9x2 – 57x + e – 6 intersects the x-axis at two points as shown in Figure 1. y A B Figure 1: Graph of y Apply the Intermediate Value Theorem to find the smallest interval (a, b) that contains the r-coordinate of the intersection point B, where a and b are integers.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q3. The curve y = x³ + 17x4 + 9x² – 57x + e" – 6 intersects the x-axis at two points
as shown in Figure 1.
y
A
В
Figure 1: Graph of y
Apply the Intermediate Value Theorem to find the smallest interval (a, b)
that contains the r-coordinate of the intersection point B, where a and
b are integers.
Transcribed Image Text:Q3. The curve y = x³ + 17x4 + 9x² – 57x + e" – 6 intersects the x-axis at two points as shown in Figure 1. y A В Figure 1: Graph of y Apply the Intermediate Value Theorem to find the smallest interval (a, b) that contains the r-coordinate of the intersection point B, where a and b are integers.
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