Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = x2i + xyj + yk; C: the counter-clockwise path around the perimeter of the rectangle in the x-y plane formed from the x-axis, y-axis , x = 3 and y = 6
A. 108
B. - 54
C. -108
D. 54
Answer: D
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Solve the problem.Robin is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $210 for materials and equipment rental plus $60 per hour for labor. Company B gave and estimate of $270 for materials and equipment rental plus $45 per hour for labor. Create a cost equation for each company where y is the total cost of the landscaping and x is the number of hours of labor. Determine how many hours of labor will be required for the two companies to cost the same.
A. 8 hr B. 3 hr C. 7 hr D. 4 hr
Find the exact area of the circle.
A. 30.25? sq in. B. 1774.67? sq in. C. 121? sq in. D. 484? sq in.
Find the area of the geometric figure.
A. 96 sq ft B. 24 sq ft C. 48 sq ft D. 16 sq ft
Write the fraction as a percent. If necessary, round your answer to the nearest tenth of a percent.
A. 8.8% B. 88.9% C. 11.1% D. 888.8%