If A =  and B = , does AB = BA? Explain.

What will be an ideal response?


No. 
AB =    =  

BA =    =  

Mathematics

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Find the Taylor polynomial of order 3 generated by f at a.f(x) = x2, a = 7

A. P3(x) = 1 + 98(x - 7) + 1029(x - 7)2 + 9604(x - 7)3 B. P3(x) = 49 + 14(x - 7) + 21(x - 7)2 + 28(x - 7)3 C. P3(x) = 1 + 14(x - 7) + 21(x - 7)2 + 28(x - 7)3 D. P3(x) = 49 + 14(x - 7) + (x - 7)2

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Determine if the given polar coordinates represent the same point.(6, ?/4), (-6, ?/4)

A. Yes B. No

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Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.

A. Local minimum at x = +1; local maximum at x =-1; concave up on (0, ?); concave down on (-?, 0) B. Local minimum at x = +1; local maximum at x =-1; concave down on (0, ?); concave up on (-?, 0) C. Local maximum at x = +1; local minimum at x =-1; concave up on (0, ?); concave down on (-?, 0) D. Local maximum at x = +1; local minimum at x =-1; concave up on (-?, ?)

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Decide whether or not the equation defines y as a function of x.y = 

A. Yes B. No

Mathematics