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r(t)= 1. Show that (5cos12t – 12sin12t)2+ (5sin12t + 12cos12t)2= 132 2. Find the equation of the surface the curve is on and name the surface? 3. Find the velocity and speed 4. Find the unit tangent vector T(t) 5. Find the unit normal vector N(t)

/in /by

r(t)=< e5tcos(12t), e5tsin(12t), e5t >
1. Show that

(5cos12t – 12sin12t)2+ (5sin12t + 12cos12t)2= 132

2. Find the equation of the surface the curve is on and name the surface?

3. Find the velocity and speed

4. Find the unit tangent vector T(t)

5. Find the unit normal vector N(t)

 
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