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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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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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