Graph the function f(x)= x+4/x in the viewing rectangle [0, 10]× [0, 10]. Graph the secant line that passes through the points (1, 5) and (8, 8.5) on the same screen. Find the number c that satisfies the conclusion of the MVT on this interval. Graph the tangent line at the point (c, f (c)). Observe that it is parallel to the secant line.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Graph the function f(x)= x +4 / x in the viewing rectangle 0, 10 x |0, 10|.
8.5) on
Graph the secant line that passes through the points (1, 5) and
the
same
6,
screen.
Find the number c that satisfies the conclusion of the MVT on this interval. Graph the
tangent line at the point (c, f(c). Observe that it is parallel to the secant line.
Transcribed Image Text:Graph the function f(x)= x +4 / x in the viewing rectangle 0, 10 x |0, 10|. 8.5) on Graph the secant line that passes through the points (1, 5) and the same 6, screen. Find the number c that satisfies the conclusion of the MVT on this interval. Graph the tangent line at the point (c, f(c). Observe that it is parallel to the secant line.
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