(iii) 3 The diagram below shows the curve y= and the normal to the curve at the V1+4x point P(2, 1) on the curve. The normal at P intersects the x-axis at the point Q. Diagram not to scale Р(2, 1) 16 Show that the x-coordinate of Q is 9. (a) (b) Hence find the area of the region bounded by the curve, the coordinate axes and the normal line.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
(iii)
3
The diagram below shows the curve y =
and the normal to the curve at the
V1+4x
point P(2, 1) on the curve. The normal at P intersects the x-axis at the point Q.
Diagram not
to scale
P(2,1)
16
Show that the x-coordinate of Q is
9
(a)
(b)
Hence find the area of the region bounded by the curve, the coordinate axes and
the normal line.
Transcribed Image Text:(iii) 3 The diagram below shows the curve y = and the normal to the curve at the V1+4x point P(2, 1) on the curve. The normal at P intersects the x-axis at the point Q. Diagram not to scale P(2,1) 16 Show that the x-coordinate of Q is 9 (a) (b) Hence find the area of the region bounded by the curve, the coordinate axes and the normal line.
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