(1) Find a vector equation for the curve of intersection between the surfaces y2−x2=9 and 2x−3y−z=12. Hint: cos2(t)+sin2

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1 Find A Vector Equation For The Curve Of Intersection Between The Surfaces Y2 X2 9 And 2x 3y Z 12 Hint Cos2 T Sin2 1 (29.08 KiB) Viewed 16 times

(1) Find a vector equation for the curve of intersection between the surfaces y2−x2=9 and 2x−3y−z=12. Hint: cos2(t)+sin2(t)=1 and sec2(t)−tan2(t)=1. (2) If a particle has an acceleration given by ⟨6sin(3t),4t,2e−2t⟩, an initial position of ⟨0,0,1⟩ at t=0, and an initial velocity ⟨1,1,0⟩, then find the speed of the particle when t=2. Find an exact expression and then approximate the speed accurate to 3 decimal digits.