Find the second-order partial derivative.Find fyx when f(x, y) = x5y5 - x6y8 + 17x - y.

A. 20x3y3 - 56x5y6
B. 25x4y3 - 48x5y6
C. 25x4y4 - 48x5y7
D. 20x3y5 - 30x4y8


Answer: C

Mathematics

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Integrate the function.

A.  ln 
B.  ln 
C.  ln 
D. ln 

Mathematics

Find the center, foci, and vertices of the ellipse.3x2 + 5y2 - 36x + 70y + 338 = 0

A.  +  = 1
center: (6, -7); foci: (7.4, -7), (4.6, -7); vertices: (8.2, -7), (3.8, -7)
B.  +  = 1
center: (-6, 7); foci: (-4.6, 7), (-7.4, 7); vertices: (-8.2, 7), (-3.8, 7)
C.  +  = 1
center: (-6, 7); foci: (-4.6, 7), (-7.4, 7); vertices: (-8.2, 7), (-3.8, 7)
D.  +  = 1
center: (6, -7); foci: (7.4, -7), (4.6, -7); vertices: (8.2, -7), (3.8, -7)

Mathematics

Solve the system, using Cramer's rule, if possible. 7x + 6y -  z =  14  x - 4y + 6z =  34-8x +  y +  z =  -9

A. {(-2, 1, 4)} B. ? C. {(2, 6, 1)} D. {(2, 1, 6)}

Mathematics

Construct a boxplot.The test scores of 40 students are listed below. Construct a boxplot for the data set.

A.

B.

C.

D.

Mathematics