## Question

###### Prove that the curve rit) = {a btP c + dt?,e + #P/, whereand are real numbers andpositive integer; has zero curvature Give an explanation.What must be shown to prove that rlt) has zero curvature?It must be shown that the dot product, a *V is Zero, or that the acceleration,is constant:must be shown that the velocity; and the acceleration; are constant: must be shown that the magnitude of the cross product, laxvl; is zero or that the unit tangent vector; T is constant: It must be shown that the cr

Prove that the curve rit) = {a btP c + dt?,e + #P/, where and are real numbers and positive integer; has zero curvature Give an explanation. What must be shown to prove that rlt) has zero curvature? It must be shown that the dot product, a *V is Zero, or that the acceleration, is constant: must be shown that the velocity; and the acceleration; are constant: must be shown that the magnitude of the cross product, laxvl; is zero or that the unit tangent vector; T is constant: It must be shown that the cross product axv is constant. In this problem, show that the magnitude ofthe cross product, laxvl; is zero. To do so, first find the velocity; bt" ,â‚¬ + dt" e + #P) Find the acceleration, Compute the cross product, axv: axv This result for xv demonstrates that the given curve has zero curvature_