A curve has equation y = 3 + 12 2-x (i) Find the equation of the tangent to the curve at the point where the curve crosses the x-axis. (ii) A point moves along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.04 units per second. Find the rate of change of the y-coordinate when x = 4.

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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12
2-x
(i)
Find the equation of the tangent to the curve at the point where the curve crosses the x-axis.
(ii)
A point moves along the curve in such a way that the x-coordinate is increasing at a constant rate of
0.04 units per second. Find the rate of change of the y-coordinate when x = 4.
5. A curve has equation y = 3 +
Transcribed Image Text:12 2-x (i) Find the equation of the tangent to the curve at the point where the curve crosses the x-axis. (ii) A point moves along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.04 units per second. Find the rate of change of the y-coordinate when x = 4. 5. A curve has equation y = 3 +
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