Find the work done by F over the curve in the direction of increasing t.F = xe3x2i + e5yj + e7zk ; the path is C1 ? C2 where C1 is the straight line from (0, 0, 0) to  and C2 is the straight line from (1, 1, 0) to (1, 1, 1)

A. W =  +  + 
B. W =  +  + 
C. W =  + 
D. W =  +  + 


Answer: A

Mathematics

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Design a sine function with the given properties.It has a period of 12 hr with a minimum value of -9 at t = 3 hr and a maximum value of 3 at 

A. 6 sin + 3
B. 12 sin - 3
C. 12 sin - 9
D. 6 sin - 3

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Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.The curves  and 

A.
B.
C.
D.

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Based on the graph, find the range of y = f(x). 

A. (-10, 10) B. (-?, ?) C. (-?, 0) or {0} or (0, ?) D. (-?, 0) or (0, ?)

Mathematics

Factor completely.12y2 + 25y + 12

A. (4y + 3)(3y + 4) B. (4y - 3)(3y - 4) C. (12y + 1)(y - 12) D. (12y + 3)(y + 4)

Mathematics