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The diagram shows the curve with parametric equations y= 2 sin'r+ 3 cos'r +1 x= 2- cos 21, for 0

The diagram shows the curve with parametric equations y= 2 sin'r+ 3 cos'r +1 x= 2- cos 21, for 0

Advanced Engineering Mathematics
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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Q8) (1. 4) (3, 3) The diagram shows the curve with parametric equations y = 2 sin'r + 3 cos'r+1 x= 2- cos 21, for 0 <I< tr. The end-points of the curve are (1, 4) and (3, 3). (1) Show that 4sint-cost. (i) Find the coordinates of the minimum point, giving cach coordinate correct to 3 significant figurey. (i) Find the exact gradient of the normal to the curve at the point for which x= 2.
Transcribed Image Text:Q8) (1. 4) (3, 3) The diagram shows the curve with parametric equations y = 2 sin'r + 3 cos'r+1 x= 2- cos 21, for 0 <I< tr. The end-points of the curve are (1, 4) and (3, 3). (1) Show that 4sint-cost. (i) Find the coordinates of the minimum point, giving cach coordinate correct to 3 significant figurey. (i) Find the exact gradient of the normal to the curve at the point for which x= 2.
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