Use Green’s Theorem to find the work done by the force F(x,y) = (6x - 7y²)i + 3yj

in moving a particle in the positive direction once around the triangle with vertices (0, 0), (1, 0), and (0, 1).


Mathematics

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Provide an appropriate response.Perform the operation and simplify your answer:   ? 

Fill in the blank(s) with the appropriate word(s).

Mathematics

Make the conversion indicated. Round your result to the nearest tenth.19°C ? °F

A. 91.8 B. 16.3 C. 42.6 D. 66.2

Mathematics

Find the weighted mean of the numbers in the table. Round to the nearest tenth.In a safety program for hunters, each of the 25 participants took 5 shots at a target. The number of bull's-eyes is shown in the table.  

A. 4.2 bull's-eyes B. 3.2 bull's-eyes C. 2.5 bull's-eyes D. 5.3 bull's-eyes

Mathematics

Find the center (h, k) and radius r of the circle with the given equation. x2 + (y - 5)2 = 16

A. (h, k) = (5, 0); r = 16 B. (h, k) = (0, 5); r = 16 C. (h, k) = (0, 5); r = 4 D. (h, k) = (5, 0); r = 4

Mathematics