Find the partial derivative.Let z = f(x, y) = x3 - 4x2y + 7xy3. Find .

A. -4x2 + 7xy2
B. 3x2 - 8xy + 7y3
C. 3x2 - 8x + 7
D. 3x2 - 8xy + 21xy2


Answer: B

Mathematics

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Solve the problem. Round to tenths where necessary.S(x) = -x3 - 45x2 + 525x + 1429, 0 ? x ? 15 is an approximation to the number of salmon swimming upstream to spawn, where x represents the water temperature in degrees Celsius. Find the temperature that produces the maximum number of salmon.

A. 12.5°C B. 5°C C. 0°C D. 10°C

Mathematics

Determine if the given ordered pair is a solution to the equation.-15x - 17y = -83, (1, 4)

A. Yes B. No

Mathematics

Solve the system of equations using substitution.

A. x = , y = ; x = 1, y = 5
or , (1, 5)
B. x = - , y = 2; x = 1, y = 5
or , (1, 5)
C. x = , y = 6; x = - , y =  
or ), 
D. x = , y = ; x = - , y = 0
or 

Mathematics

Graph the ellipse.4x2 + y2 - 40x + 96 = 0

A.

B.

C.

D.

Mathematics