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3 years ago

What is 800, thousand rounded to the nearest hundreds thousands

Mathematics

1 answer:

vaieri [72.5K]3 years ago

6 0

800,000 rounded to the nearest 100,000 would be 800,000

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(a)5%)Let fx, y) = x^4 + y^4 - 4xy + 1. and classify each critical point Find all critical points of fx,y) as a local minimum, l

lara31 [8.8K]

$f(x,y)=x^4+y^4-4xy+1$

has critical points wherever the partial derivatives vanish:

$f_x=4x^3-4y=0\implies x^3=y$

$f_y=4y^3-4x=0\implies y^3=x$

Then

$x^3=y\implies x^9=x\implies x(x^8-1)=0\implies x=0\text{ or }x=\pm1$

If $x=0$ , then $y=0$ ; critical point at (0, 0)
If $x=1$ , then $y=1$ ; critical point at (1, 1)
If $x=-1$ , then $y=-1$ ; critical point at (-1, -1)

$f(x,y)$ has Hessian matrix

$H(x,y)=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}$

with determinant

$\det H(x,y)=144x^2y^2-16$

At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
At (1, 1), the determinant is 128, and $f_{xx}(1,1)=12$ , which indicates a local minimum.
At (-1, -1), the determinant is again 128, and $f_{xx}(-1,-1)=12$ , which indicates another local minimum.

4 0

3 years ago

Which of the following is a graph of y=3/2x2

Tanya [424]

Here is a table that you can use to graph y=3/2x^2
x -2, -1, 0, 1, 2
y 6, 1.5, 0, 1.5, 6

8 0

3 years ago

Please help, I need to solve for m. a=f/m

omeli [17]

You dived f out m and you should get a/f=m

3 0

3 years ago

3. Basket A had 7 times as many plums as basket B at first. Zoe put 58 more plums in each

asambeis [7]

Answer:

87 many more plums are there in Basket A than Basket B

Step-by-step explanation:

Before

N = 58/2

Basket A = N x 7 + 58

Basket B = N x 7

Now

Basket A = 29 x 7 + 58

= 261/3

= 87

Basket B = 29 x 7

= 203 + 58

= 261/3

= 87

Basket A and B has a difference of 87 Plums

:) Thank you!!

4 0

3 years ago

A corporate team building event costs $2 for every attendee. If there are 8 attendees how much will the corporate team building

lesantik [10]

Answer:

16$

Step-by-step explanation:

8 times 2 is 16

I hope this helps!!!

7 0

3 years ago