Find all the second partial derivatives.f(x, y) = ln (x2y - x)

A.  =  = - ;   =  = - 
B.  =  = ;   =  =  
C.  =  = - ;   =  = - 
D.  =  = - ;   =  = - 


Answer: C

Mathematics

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Determine whether the Fourier series of the given function will include only sine terms, only cosine terms, or both sine terms and cosine terms.f(x) = 5 - x2 -9 ? x < 9

A. both sine and cosine terms B. only sine terms C. only cosine terms

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Use simple probability to complete the exercises.This problem deals with eye color, an inherited trait. For purposes of this problem, assume that only two eye colors are possible, brown and blue. We use b to represent a blue eye gene and B a brown eye gene. If any B genes are present, the person will have brown eyes. The table shows the four possibilities for the children of two Bb (brown-eyed) parents, where each parent has one of each eye color gene.  Second Parent  B  bFirst Parent B BB Bb b Bb bbFind the probability that these parents give birth to a child who has blue eyes.

A. 0
B.
C.
D. 1

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Find the limit of the sequence if it converges; otherwise indicate divergence.an = ln n

A. ln 8 B. 0 C. 8 D. Diverges

Mathematics

Simplify the expression using the order of operations.(-4)2 - 32

A. 7 B. -14 C. -7 D. 25

Mathematics