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mylen [45]
3 years ago
12

I have to find the critical points of this function of two variables

4%2By%5E4-16%28x%2By%29%5E2%5C%5C" id="TexFormula1" title="\\f(x,y)=x^4+y^4-16(x+y)^2\\" alt="\\f(x,y)=x^4+y^4-16(x+y)^2\\" align="absmiddle" class="latex-formula">, for this we use the gradient method which equals to ZERO the first partial derivatives. After clearing both equations we should find the following points: P (__, 0), Q (4, __), R (4, __) My problem is that I cannot clear the following equations:
\\1)  4x^{3} -32x -32y = 0\\2) 4y^{3} -32x-32y = 0
Is there any way to deal with these equations of degree n?
Engineering
1 answer:
liraira [26]3 years ago
4 0

Answer:

no i dont think there is

Explanation:

because theres not

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An aircraft is flying at 300 mph true airspeed has a 50 mph tailwind. What is its ground speed?
Free_Kalibri [48]

Answer:

304.13 mph

Explanation:

Data provided in the question :

The Speed of the flying aircraft = 300 mph

Tailwind of the true airspeed = 50 mph

Now,

The ground speed will be calculated as:

ground speed = \sqrt{300^2+50^2}

or

The ground speed = \sqrt{92500}

or

The ground speed = 304.13 mph

Hence, the ground speed is 304.13 mph

8 0
4 years ago
Vehicles begin arriving at an amusement park 1 hour before the park opens, at a rale of four vehicles per minute. The gale to th
Alina [70]

Answer:

a) ≈ 30 mins

b) 8 vpm

Explanation:

<u>a) Determine how long after the first vehicle arrival will the queue dissipate</u>

The time after the arrival of the first vehicle for the queue to dissipate

= 29.9 mins ≈ 30 mins

<u>b) Determine the average service rate at the parking lot gate </u>

U = A / t

where : A = 240 vehicles , t = 30

U = 240 / 30 = 8 Vpm

attached below is a detailed solution of the given problems above

3 0
3 years ago
______number can be used to describe the relative growth of the hydraulic boundary layer and the thermal boundary layer. a) Reyn
weqwewe [10]

Answer: d) Prandtl number

Explanation: Prandtl number is basically defined as the ratio between the fluid's viscosity to the thermal conductivity.It doesn't have any sort of dimension. The fluids which are discovered with the small Prandtl numbers are considered as good fluids as they have a smooth rate of flow and as the number increases the fluid are not considered as reliable. Thus,option (d) is the correct option.

3 0
4 years ago
This method will sell the seat in row i and column j unless it is already sold. A ticket is sold if the price of that seat in th
blsea [12.9K]

Answer:

The solution code is written in Java.

  1. public class Movie {
  2.    private double  [][] seats = new double[5][5];
  3.    private double totalSales;
  4.    public Movie(){
  5.        for(int i= 0; i < this.seats.length; i++){
  6.            for(int j = 0; j < this.seats[i].length; j++){
  7.                this.seats[i][j] = 12;
  8.            }
  9.        }
  10.        this.totalSales = 0;
  11.    }
  12.    public boolean bookSeat(int i, int j)
  13.    {
  14.        if(this.seats[i][j] != 0){
  15.            this.totalSales += this.seats[i][j];
  16.            this.seats[i][j] = 0;
  17.            return true;
  18.        }else{
  19.            return false;
  20.        }
  21.    }
  22. }

Explanation:

The method, bookSeat(), as required by the question is presented from Line 16 - 26 as part of the public method in a class <em>Movie</em>.  This method take row,<em> i</em>, and column,<em> j</em>, as input.

By presuming the seats is an two-dimensional array with all its elements are  initialized 12 (Line 7 - 10). This means we presume the movie ticket price for all the seats are $12, for simplicity.

When the<em> bookSeat() </em>method is invoked, it will check if the current price of seats at row-i and column-i is 0. If not, the current price, will be added to the <em>totalSales </em>(Line 19)<em> </em>and then set the price to 0 (Line 20) and return <em>true</em> since the ticket is successfully sold (Line 21).  If it has already been sold, return <em>false</em> (Line 23).

8 0
3 years ago
The worst case signal-to-noise ratio at the output of an FM detector occurs when: ________
AlexFokin [52]

Answer:

a. the desired signal is 90 degrees out of phase with the intelligence signal.

Explanation:

The signal to noise ratio of FM detector is defined as function of modulation index for SSB FM signal plus narrow band Gaussian noise at input. The ratio is usually higher than 1:1 which indicates more signals than noise.

6 0
3 years ago
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