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Suppose C is the curve r(t) = (t,t), for 0 sts 2, and F= (6x,6y). Evaluate F . Tds using the following steps. a. Convert
Suppose C is the curve r(t) = (t,t"), for 0 sts 2, and F= (6x,6y). Evaluate F . Tds using the following steps. a. Convert the line integral F . T ds to an ordinary integral. C b. Evaluate the integral in part (a). a. Convert the line integral F . T ds to an ordinary integral. F . Tds= J dt (Simplify your answers.) C The value of the line integral of F over C is (Type an exact answer, using radicals as needed.)Explain how to calculate the circulation of a vector field on a closed smooth oriented curve. . . . Choose the correct answer below. O A. Take the line integral of F . n along the curve with arc length as the parameter, where F is the vector field and n is the outward normal vector to the curve C. O B. Take the line integral of F . T along the curve with arc length as the parameter, where F is the vector field and T is the unit vector tangent to the curve - C. O C. Take the line integral of F . T along the curve with arc length as the parameter, where F is the vector field and T is the unit vector tangent to the curve C. O D. Take the line integral of F . n along the curve with arc length as the parameter, where F is the vector field and n is the inward normal vector to the curve C
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