Given: x = t3 + 1, y = t² – t a) Find dy/dx and d²y/dx². b) For which values of t is the curve concave upward? c) Find any points on the curve where the tangent is horizontal or vertical.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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2) Given:
x = t3 + 1,
y = t² – t
a) Find dy/dx and d?y/dx?.
b) For which values of t is the curve concave upward?
c) Find any points on the curve where the tangent is horizontal or vertical.
Transcribed Image Text:2) Given: x = t3 + 1, y = t² – t a) Find dy/dx and d?y/dx?. b) For which values of t is the curve concave upward? c) Find any points on the curve where the tangent is horizontal or vertical.
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