Question

[6] The object is on move along the curve (y = x^2) & (z = x^3)...

[6] The object is on move along the curve (y = x^2) & (z = x^3) with a vertical speed, which is constant (dz/dt = 2) find the acceleration and velocity when the object is at point P (2, 4, 8)

[7] (a) A plane (z = 2+x) which does intersects the cone (z^2 = x^2 + y^2) in a parabola. Parameterize the parabola using (t = y). [Find f(t)] & [h(t)] where as [r = f(t)i + (t) j + h(t)k] everything representing the Parabola
(b) where as, [r = (t) i + (t^2/2) j +(t^2)k, find the curvature, the unit which is tangent and the normal unit

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