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(d) the equation of the line tangent to the curve at the point where (i) t =, and (ii) t = . = 17

(d) the equation of the line tangent to the curve at the point where (i) t =, and (ii) t = . = 17

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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Answer letter D only.
Let C be a curve that is defined by x = 4 sin t and y = cos t, t e [0, 27). Determine (a) the time intervals on which the curve is (i) increasing, and (ii) decreasing; (b) the time intervals on which the graph is (i) concave upward, and (ii) concave downward; (c) (i) the cartesian points (x, y) of the curve where horizontal tangent lines exist, and (ii) the cartesian points (x, y) of the curve where vertical tangent lines exist; 11T (d) the equation of the line tangent to the curve at the point where (i) t = , and (ii) t = CS Scanned with CamScarner
Transcribed Image Text:Let C be a curve that is defined by x = 4 sin t and y = cos t, t e [0, 27). Determine (a) the time intervals on which the curve is (i) increasing, and (ii) decreasing; (b) the time intervals on which the graph is (i) concave upward, and (ii) concave downward; (c) (i) the cartesian points (x, y) of the curve where horizontal tangent lines exist, and (ii) the cartesian points (x, y) of the curve where vertical tangent lines exist; 11T (d) the equation of the line tangent to the curve at the point where (i) t = , and (ii) t = CS Scanned with CamScarner
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