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Inessa [10]
3 years ago
12

Look at the relationship between a and b.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

42 is the answer to life, the universe, and the amount of pizza i need. The 0 is the amount of braincells i have and the 6 is because I have 6 working teeth. The 9 is because it is almost 10

i hope this helped hehe

Step-by-step explanation:

well its all up there i legit have no brain cells

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Answer:

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Step-by-step explanation:

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Simplify.
Dafna11 [192]

Answer:

C. 2x^2-7x+7

Step-by-step explanation:

(3x^2-2x+2)-(x^2+5x-5)     <em>Given</em>

From the given you will subtract like terms from both parenthesis.

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Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |
dsp73

Looks like f(x,y)=x^2+y^2-x^2y+7.

f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1

f_y=2y-x^2=0\implies2y=x^2

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The latter two critical points occur outside of D since |\pm\sqrt2|>1 so we ignore those points.

The Hessian matrix for this function is

H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}

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Now consider each boundary:

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f(-1,y)=8-y+y^2

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

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f(x,1)=8

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

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f(x,-1)=2x^2+8

which has 3 extreme values, but the previous cases already include them.

Hence f(x,y) has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

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