Suppose that a bee is approaching a flower following the trajectory x = t° – 3t, y = t². Please note: Parts (a) and (b) should be written on one page, parts (c) and (d) - on the next page. (a) Find equation(s) of the tangent line(s) at (0, 3); (b) Find the coordinates of the points where the bee is flying horizontally and vertically; (c) Where is the trajectoty concave up and down? (d) Draw a rough sketch of the trajectory, indicating your findings about tangent lines. Hint: Use values of t = +2, ±V3, ±1,0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Suppose that a bee is approaching a flower following the trajectory
x = t° – 3t, y = t². Please note: Parts (a) and (b) should be written on one page,
parts (c) and (d) - on the next page.
(a) Find equation(s) of the tangent line(s) at (0, 3);
(b) Find the coordinates of the points where the bee is flying horizontally and
vertically;
(c) Where is the trajectoty concave up and down?
(d) Draw a rough sketch of the trajectory, indicating your findings about tangent
lines. Hint: Use values of t = +2, ±V3, ±1,0.
Transcribed Image Text:Suppose that a bee is approaching a flower following the trajectory x = t° – 3t, y = t². Please note: Parts (a) and (b) should be written on one page, parts (c) and (d) - on the next page. (a) Find equation(s) of the tangent line(s) at (0, 3); (b) Find the coordinates of the points where the bee is flying horizontally and vertically; (c) Where is the trajectoty concave up and down? (d) Draw a rough sketch of the trajectory, indicating your findings about tangent lines. Hint: Use values of t = +2, ±V3, ±1,0.
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