Use Green's Theorem and/or a computer algebra system to evaluate x²ydx- xy² dy, where C is the circle x² + y² = 64 with counterclockwise orientation.


d -32?

Mathematics

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In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below. It is possible to take a walk through this town, starting on the South Bank, crossing each bridge once (and only once) and ending

A. on island B. B. on island C. C. back on the South Bank. D. on the North Bank. E. none of these

Mathematics

Use implicit differentiation to find the specified derivative at the given point.Find  at the point (1, 1) for 6x2 + 4y3 + 2xy = 0.

A. - 
B. - 
C. - 1
D. 1

Mathematics

The estimated monthly profit (in dollars) realizable by Cannon Precision Instruments for manufacturing and selling x units of its model M1 camera is ? ? To maximize its profits, how many cameras should Cannon produce each month? ?

A. 2,250 cameras B. 2,350 cameras C. 2,300 cameras D. 2,275 cameras

Mathematics

Use an integer or rational number to express the number representing change.Sales in Jeff's Toys Shop decline 13.6% from last month to this month.

A. 13.6 B. -13.6

Mathematics