A bee with velocity vector r′(t)r′(t) starts out at (3,1,−5)(3,1,−5) at t=0t=0 and flies around for 99 seconds. Where is the bee located at time 99 if ∫90r′(u)du=0∫09r′(u)du=0 ?

a 360 degree rotation

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)