Suppose C is the curve r(t)=⟨8t,2t4⟩, for 0≤t≤2, and F=⟨8x,3y⟩. Evaluate ∫CF⋅T ds using the following steps. a. Convert
Posted: Thu Jul 14, 2022 4:41 pm
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 ∫CF⋅T ds using the following steps. a. Convert the line integral ∫CF⋅T ds to an ordinary integral. b. Evaluate the integral in part (a). a. Convert the line integral ∫CF⋅T ds to an ordinary integral. ∫CF⋅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 ∫CF⋅T ds to an ordinary integral. ∫CF⋅Tds=∫01dt (Simplify your answers.)
Suppose C is the curve r(t)=⟨8t,2t4⟩, for 0≤t≤2, and F=⟨8x,3y⟩. Evaluate ∫CF⋅T ds using the following steps. a. Convert the line integral ∫CF⋅T ds to an ordinary integral. b. Evaluate the integral in part (a). a. Convert the line integral ∫CF⋅T ds to an ordinary integral. ∫CF⋅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 ∫CF⋅T ds to an ordinary integral. ∫CF⋅Tds=∫01dt (Simplify your answers.)