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sveta [45]
3 years ago
9

Is this right?????????

Mathematics
1 answer:
enot [183]3 years ago
6 0
1 and 2 are correct!:)
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Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb
Umnica [9.8K]

Answer:

It would roll in this direction.

\nu  =  (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.  

Since  

z =  ax^2  + by^2

For this case, the gradient of your function would be

\nabla z  = (2ax , 2by)

And  -1  times the gradient of your function would be

-\nabla z  = (-2ax , -2by)\\

Then, at

 (1,1,a+b),\\x = 1 \\y = 1

So it would go towards

v = (-2a,-2b)

The magnitud of that vector is

|v| =  2\sqrt{a^2+b^2}

and to conclude it would roll in this direction.

\nu  =  (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})

6 0
3 years ago
Help me with this i only have 10 mis left
Tpy6a [65]

Answer:

It's definitely C

Step-by-step explanation:

Boston is 35 degrees as well but the lowest temperature of Seattle is 45

4 0
3 years ago
Can 31/50 be simplified
kozerog [31]
No because when  one number is odd and the other one is even it can't be simplified (unless they are multiples/factors of each other) ex: 7/14
7 0
3 years ago
Read 2 more answers
204/306 equivalent ratios
Fantom [35]
You would first find out the greatest common factor of 204 and 306 which is 102

204 divided by 102 which is 2
306 divided by 102 which is 3

So the answer is 2/3

3 0
3 years ago
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Vilka [71]

Answer:

(3, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

3x + y = 10

y = x - 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    3x + (x - 2) = 10
  2. Combine like terms:     4x - 2 = 10
  3. Isolate <em>x </em>term:               4x = 12
  4. Isolate <em>x</em>:                        x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:          y = x - 2
  2. Substitute in <em>x</em>:                           y = 3 - 2
  3. Subtract:                                     y = 1

And we have our answer!

3 0
3 years ago
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