Suppose C is the curve r(t)=⟨8t,2t4⟩, for 0≤t≤2, and F=⟨8x,3y⟩. Evaluate ∫C​F⋅T ds using the following steps. a. Convert

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Suppose C Is The Curve R T 8t 2t4 For 0 T 2 And F 8x 3y Evaluate C F T Ds Using The Following Steps A Convert 1 (26.46 KiB) Viewed 29 times

The second one is the one I need help with

Suppose C Is The Curve R T 8t 2t4 For 0 T 2 And F 8x 3y Evaluate C F T Ds Using The Following Steps A Convert 2 (19.3 KiB) Viewed 29 times

Suppose C is the curve r(t)=⟨8t,2t4⟩, for 0≤t≤2, and F=⟨8x,3y⟩. Evaluate ∫C​F⋅T ds using the following steps. a. Convert the line integral ∫C​F⋅T ds to an ordinary integral. b. Evaluate the integral in part (a). a. Convert the line integral ∫C​F⋅T ds to an ordinary integral. ∫C​F⋅Tds=∫02​(512t+48t7)dt( Simplify your answers.) The value of the line integral of F over C is 2,560T. (Type an exact answer, using radicals as needed.)
Suppose C is the curve r(t)=⟨8t,t5⟩, for 0≤t≤2, and F=⟨9x,3y). Evaluate ∫F⋅T ds using the following steps. a. Convert the line integral ∫C​ F⋅T ds to an ordinary integral. b. Evaluate the integral in part (a). a. Convert the line integral ∫C​F⋅T ds to an ordinary integral. ∫C​F⋅Tds=∫0​1dt (Simplify your answers.)