# 6. Find the curvature of r(t) = ti + t2j +t k.at r = 0.7. Find the curvature of the plane y = -cos() + e8. Find the maximum curvature of y In . nack cuwerune,9. Find the tangential component aT and normal component aN for3ti tj + tk.r(t)10. Let a(t) = 2t i + e j + cos (t) k denote the acceleration of a movirv(0) i+2j- k, find the particle's velocity v(t) at any time t.. (a) Find the domain of f(x, y) =nV2 x(b) Sketch the graph of f(r, y) = 62y.12. Find the limit of show it does not exists.(a)lim(xy)+(0,0) +y8(b)ry ylim(a)(1,0) (1)2+y2

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Help w/ #6

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Step 1

The curve is given by ti+t2j+t3k.

The formula to calculate the curvature of the curve is given by,

Step 2

The r’(t) is given by differentiating r(t) with respect to t.

then,

Step 3

T(t) is give...

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