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 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; (d) the equation of the line tangent to the curve at the point where (i) t = E, and (ii) t = . 11
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 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; (d) the equation of the line tangent to the curve at the point where (i) t = E, and (ii) t = . 11
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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