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1. (1 point) Find the distance the point P(1, -6, 7), is to the plane through...

1.

(1 point)
Find the distance the point P(1, -6, 7), is to the plane through the three points
Q(-1, -1, 5), R(-5, 2, 6), and S(3, -4, 8).

2.

(1 point) For the curve given by r(t)=〈−7t,−4t,1+7t2〉r(t)=〈−7t,−4t,1+7t2〉,

Find the derivative
r′(t)=〈r′(t)=〈  ,  ,  〉〉

Find the second derivative
r″(t)=〈r″(t)=〈  ,  ,  〉〉

Find the curvature at t=1t=1
κ(1)=κ(1)=

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