Find the second-order partial derivative.Find fxy when f(x, y) = 8xexy.

A. 8(2xexy + xy2exy)
B. 8x2y2exy
C. 8(2xyexy + exy)
D. 8(2xexy + x2yexy)


Answer: D

Mathematics

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Evaluate the integral using the given substitution. dx , u = x3/2 - 8

A. sin3 (x3/2 - 8) + C
B. (x3/2 - 8) +  sin 2(x3/2 - 8) + C
C.   sin (x3/2 - 8) + C
D. x3/2 - 8 +  sin 2(x3/2 - 8)+ C

Mathematics

Add or subtract as indicated. Simplify, if necessary. - 

A. - 
B. -15
C. - 
D. - 

Mathematics

Solve the problem.A mixture of chlorine and water contains a total of 48 gallons of liquid. There are 20 gallons of pure chlorine in the mixture. (i) What percent of the mixture is water? (ii) What percent of the mixture is chlorine? Round to the nearest percent, if necessary.

A. (i) 58% water; (ii) 42% chlorine B. (i) 20% water; (ii) 80% chlorine C. (i) 42% water; (ii) 58% chlorine D. (i) 33% water; (ii) 67% chlorine

Mathematics

Factor completely. If the polynomial is prime, state this.(a + b)(x + 11) + (a + b)(x - 6)

A. (a + b)(2x + 11) B. (a + b)(x + 5) C. (a + b)(2x + 5) D. (a + 5)(2x + b)

Mathematics