Q7. (a) Q7. (b) (i) Find the coordinates of the stationary point of the curve with equation (x + y - 2)² = ey- 1 A curve is defined by the parametric equations x = ³ + 2, y=2²2²-1 Find the gradient of the curve at the point where t = -2 Find a Cartesian equation of the curve.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Q7. (a)
Q7. (b)
Find the coordinates of the stationary point of the curve with equation
(x + y - 2)² = ey- 1
A curve is defined by the parametric equations
x = t³ + 2,
y = 2² - 1
(i) Find the gradient of the curve at the point where t = -2
(ii)
Find a Cartesian equation of the curve.
Transcribed Image Text:Q7. (a) Q7. (b) Find the coordinates of the stationary point of the curve with equation (x + y - 2)² = ey- 1 A curve is defined by the parametric equations x = t³ + 2, y = 2² - 1 (i) Find the gradient of the curve at the point where t = -2 (ii) Find a Cartesian equation of the curve.
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