Sketch the vector field in the plane along with its horizontal and vertical components at a representative assortment of points on the circle x2 + y2 = 4.F = - i  - j

What will be an ideal response?


Answers will vary.

Mathematics

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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

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Find the values of x that satisfy the given conditions.10 ? 3x - 2 ? 19

A. -7 < x < -4 B. 4 < x < 7 C. 4 ? x ? 7 D. -7 ? x ? -4

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Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $30 and on an SST ring is $60?

A. 8 VIP and 16 SST B. 12 VIP and 12 SST C. 0 VIP and 24 SST D. 16 VIP and 8 SST

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Add or subtract, if possible. Assume that all variables represent non-negative values. Simplify your answer. 4  + 2xy 

A. 10x2y4
B. 10 xy4
C. 6xy5
D. 6x2y5

Mathematics