Solve the differential equation.


Mathematics

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Perform the division and simplify. ? ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics

Sketch the graph and show all local extrema and inflection points.f(x) = x4

A. Local maximum: 
Local minimum: (6, 0)
Inflection points: 
, (6, 0)


B. Local maximum: 
Local minimum: (6, 0)
Inflection points: 


C. Local minimum: (6, 0)
No inflection points


D. Local maximum: 
Local minimum: (6, 0)
Inflection point: 


Mathematics

Establish the identity.sec = -csc u

What will be an ideal response?

Mathematics

Solve the problem. A film maker wants to make and sell DVDs of a documentary film. It costs $6500 to make the film and $1500 to set up production. In addition, it costs $4 for each video made. Let P(n) be the price the film maker should set for each video so that it breaks even by making and selling n CDs. Find P(500). What does it mean in this situation?

A. 20; if the film maker charges $20 per video, it will sell 500 videos. B. 17; if the film maker charges $17 per video, it will sell 500 videos. C. 20; if the film maker makes and sells 500 videos, it must sell each video for $20 to break even. D. 17; if the film maker makes and sells 500 videos, it must sell each video for $17 to break even.

Mathematics