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Trava [24]
2 years ago
8

(5m 3 + 3mn 2) + (-7m 2n + mn 2 - n 3) - (mn 2 + 2m 3)

Mathematics
1 answer:
lara [203]2 years ago
8 0

Answer:

3m^{3}+3mn^{2}  -n^{3}- 14mn

Step-by-step explanation:

I assumed that the numbers after the spaces were powers. This question was rather unclear.

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100 points!!! Please full out all of these ASAP!!! Please show work!!!
Alex

Answer:

look below

Step-by-step explanation:

y = 2 (x + 3)^2 - 2

Geometric figure:  parabola

Alternate forms:

y = 2 (x + 2) (x + 4)

y = 2 (x^2 + 6 x + 8)

-2 x^2 - 12 x + y - 16 = 0

Expanded form:

y = 2 x^2 + 12 x + 16

Roots:

x = -4

x = -2

<u>Properties as a real function: </u>

Domain - R (all real numbers)

Range - {y element R : y>=-2}

Partial derivatives:

d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)

d/dy(2 (x + 3)^2 - 2) = 0

Implicit derivatives:

(dx(y))/(dy) = 1/(12 + 4 x)

(dy(x))/(dx) = 4 (3 + x)

Global minimum:

min{2 (x + 3)^2 - 2} = -2 at x = -3

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Step-by-step explanation:

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