MAT-232 Group Work Forum 3.docx - Group Work 3 Section 9.1...

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Group Work 3 Section 9.1 4. {x=4+3t y=2-4t Section 9.2 A curve is defined by the equation y=f(x) has a horizontal tangent if dy/dx = 0 and has a vertical tangent if dy/dt = 0 but dy/dt ≠0 12. { x=t2-1 y=t4-4t2 a. y=t4 – 4t2, d/dt[t4]+d/dt[-4t2] =4t3-8t, 4t3-8t = 0, t = 0 ,√2, - √ 2 f(0)=(0)4-4(0)2 = 0 f(√2) = (√2)4 – 4(√2)2 =-4 (0,-4) b.
x=t2-1; f(x) = t2-1; d/dt[t2]+d/dt[-1] = 2t+0=2t, t=0 f(0)=(0)2-1=-1 (-1) Section 9.3 10. {x=πt

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