2 years ago

Sequence is defined recursively using the equation . If f(1)=100, what is f(6)?

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

60 is the correct answer

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skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

3 years ago

Pls help soon, my life depends on this test!!:))

Morgarella [4.7K]

Hello,
Please, see the attached file.
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nevsk [136]

Answer:

false

Step-by-step explanation:

X times X times X times X times X equals X^5 not 5X

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Svetradugi [14.3K]

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Step-by-step explanation:

Given

- x - 7 = 16 ( Isolate - x by adding 7 to both sides )

- x = 23 ( multiply both sides by - 1 )

x = - 23

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3 years ago

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pantera1 [17]

2160 divided by 5.5 = 392.7 hopefully this is right!

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