Given the unit-speed curve α(s) = ( 4 5Cos s, 1 − Sin s, − 3 5Cos s) (|α˙ | = 1) that is parametrized in terms of arclength s. a) Find the unit Tangent vector T , b) Find the Curvature κ, c) Find the Normal vector N, d) Find the Binormal vector B, e) Find the Torsion τ of this curve.

the infinity sign

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: