Question

1. (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)=〈, , , 〉...

1.

(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)=

2.

(1 point) Find the distance from the point (-1, -5, 3) to the plane −4x+4y+0z=−3.

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