Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?

Answers

Answer 1

Respuesta:

(-1, - 2,4)

Explicación paso a paso:

Dada la función:

ℎ (x, y) = 5000 - 0,001x2 - 0,004y2

Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido

H '(x, y) = (dh / dx, dh / dy)

dh / dx = 2 (-0.001x) = - 0.002x

dh / dy = 2 (-0.004y) = - 0.008y

H '(500, 300) = (- 0,002 (500); - 0,008 (300))

H '(500, 300) = (- 1; - 2,4)

Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)


Related Questions

The length of a rectangular garden is 555 meters long. The area of the garden is 101010 square meters.

P.S NEED HELP

Answers

Answer:

Step-by-step explanation:

no

HELP ME PLEASE I'll give brainless.

Answers

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

Determine whether the following can be modeled by a quadratic,
exponential or linear function? Cancer triples every six months.
quadratic
exponential
linear

Answers

Answer:

3 times 6 is 9

3 times 250 million is 750000000

Step-by-step explanation:

Use long multiplication to evaluate.

Mrs. Fry has 5 children their ages are 5,
10, 12, 15, and 8. What is the mean
age of her children?

Answers

Answer:

The mean of the ages of the Fry children is 8.

Step-by-step explanation:

To find the mean, you add up all of the numbers given, and then divide the sum by how many numbers you are given.

5+10+12+15+8 = 40      40/5 = 8

what is 4 to the third + 7

Answers

Answer:

71

Step-by-step explanation:

I hope this helps u! :D

Answer:

71

Step-by-step explanation:

4 to the third = 4 x 4 x 4 = 64

64 + 7 = 71

Find the probability of rolling a 4 or less on the first die, and a 5 or less on the second die

Answers

Answer:

first dice-4/6

second dice-5/6

Step-by-step explanation:

if you have six possible outcomes for the first dice and you want it to roll 1 thru 4 then you have a four out of six chance and you have a 5 out of six chance for the second dice

the base of a jewelry box is a square with a side length of 5 1/2 inches. the box is 2 inches high. what is the volume of the box?

Answers

The volume of the jewelry box is 60 1/2 cubic inches.

The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:

Area = (5 1/2) × (5 1/2) = 30 1/4 square inches

The height of the box is 2 inches.

Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:

Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches

Thus, the volume of the jewelry box is 60 1/2 cubic inches.

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I need help, please ASAP. The photo is attached down below.

Answers

3rd answer would be correct

Help
Please !!!,!,!,!,!!

Answers

Answer:

700cm

2450cm

40cm

6991cm

Step-by-step explanation:

Times ten for every one.

What is the approximate volume of the cylinder? Use 3.14 for π. high 8 length 6

Answers

Answer:

I got 226.08

Step-by-step explanation:

I don't know if your trying to find the nearest whole number

Integer Quotient Problem
Two positive integers have a sum of 92.
If the larger integer is divided by the smaller one, the quotient is 3
and the remainder is 12. What are the two integers?

Answers

Suppose that we have x and y as the integers( x is bigger than y ).

As the question told :

x = 3y + 12

_________________________________The integers have a sum of 92 which means :

x + y = 92 ==》( 3y + 12 ) + y = 92

==》 4y + 12 = 92

==》 4y = 92 - 12

==》 4y = 80

==》 y = 20

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x + y = 92 ==》x + 20 = 92

==》x = 92 - 20

==》x = 72

Answer:

The two integer is, y = 20 and

                               x = 72

Step-by-step explanation:

Definition of integer:

Integer, positive or negative whole number, or 0 The integers are created using the counting numbers 1, 2, 3,... and the subtraction function. The result of subtracting a counting number from itself is zero; for example, 4 4 = 0. When you subtract a greater number from a smaller number, you get a negative whole number; for example, 2 3 = 1. Every integer may be deduced from the counting numbers in this fashion, resulting in a set of numbers that can be subtracted.

As the question told :

x = 3y + 12

The integers have a sum of 92 which means :

x + y = 92

        = ( 3y + 12 ) + y = 92

        = 4y + 12 = 92

        =  4y = 92 - 12

        =  4y = 80

     y = 20

Then, x + y = 92

       x + 20 = 92

                x = 92 - 20

                x = 72

The two integer is, y = 20 and x = 72

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Ms. O'Conner took a poll of 80 students to find out how they get to school. How many more students get to school on a bus than in a car?

Answers

Answer:

I need the dull question

Step-by-step explanation:

Simplify 15 Times Square root of 0.16c^12

Answers

Answer:

6c^6

Step-by-step explanation:

ASSUMING you meant 15 * sqrt(0.16c^12)

the parentheses are important, and without them, I can't tell what exactly you mean is square-rooted and what is not

Answer: 6c^6

Step-by-step explanation:

what is the perimeter of this polygon?

Answers

Answer:

Step-by-step explanation:

Did you try adding it all up and combine the like terms to get your answer

Please help me guys I need ur help

Answers

3.5 yr does this help?

Jessica got fast food for lunch. Jessica paid 3.10 dollars on fries and 4.88 on the sandwich with a $10 bill. Jessica got a combo deal. What was the change from the purchase?

Answers

Answer:

$2.02

Step-by-step explanation:

If Jessica paid $3.10 for fries and $4.88 for the sandwich, we need to add these two values together to find the total cost of her entire meal.

3.10 + 4.88 = 7.98

Since Jessica paid with a $10 bill then we need to subtract the total from the bill in order to find the change that Jessica will receive from her purchase.

$10 - $7.98 = $2.02

Now we can see that Jessica will receive a total of $2.02 in change after making her purchase.

For } (x) = 4x+1 and g(x) = x2 -5, find (f/g)(x)

Answers

Answer:

Step-by-step explanation:

                                                           4x + 1

The quotient   (f/g)(x) is    (f/g)(x) = ---------------

                                                          x^2 - 5

Note that x^2 means "square of x," whereas "x2" is ambiguous.

Help me with this problem please

Answers

Answer:

I'm not 100% sure, but I think the answer is 10 units squared.

Step-by-step explanation:

Find the area of each triangle, by multiplying each side, and dividing the answer in half. Add both of the triangles together, ending up as 6. Now we just find the area of the square. 2x2=4, add that to both of the triangles, and we're done. (2x2) ÷ 2 = 2 | (2x4) ÷ 2 = 4 | 2x2 = 4 | 4+4+2=10

Answer:

area=10 units^2

Step-by-step explanation:

[tex]a=\frac{(2+2+4)+(2)}{2} *2\\ =\frac{8+2}{2} *2\\ =\frac{10}{2} *2\\ =5*2\\ =10[/tex]

a=10 units^2

If 25 cents are the same as 1/4; how many 1/4 are in $10?​

Answers

Answer:

40

Step-by-step explanation:

Answer:

There would be 40 sets of 1/4 in $10.

Step-by-step explanation:

This is because when you divide 10 by 0.25 (1/4) it is equal to 40.

You can also think of 4 times 10 since 4 1/4s(.25 cents) are equal to a dollar.

Hope that makes sense :)

What is the measure of angle ZUV? *

Answers

It should be 124°

Explanation:
The angle VWX is adjacent/across/parallel from ZUV making it the same, so just add the two angles that for VWX to get 124°.

10 points

15. What is the rule for an arithmetic sequence whose first term is 12 and the common
difference is 9?

Answers

Answer:

T1=12 a=12 a=T1

d=9

your Arithmetic equation is Tn=a+(n-1)d

Tn=a+(n-1)d

SUBSTITUTE a and d in your equation

Tn=12+(n-1)(9)

Tn=12+9n-9

Tn=3+9n or Tn=9n+3

A line passes through the origin point (3,5). What is the slope of the line

Answers

Answer:

3/5

Step-by-step explanation:

just took the test

Answer:

3/5

Step-by-step explanation:

hope it helps :D

X 2. Gi'shon needs to complete the expressions below to factor x2 + x - 56. 0/1 Which of the following must be true? * ( x1)x___)
F. Both expressions will include subtraction.
G. The sum of the values in the blanks should be 1. X Х
H. The product of the values in the blanks should be 56.
J. The values in the blanks will be the same number but opposite signs​

Answers

Answer: gggggg
g the sum of values are 1

Step-by-step explanation: 8-7=1

The factorized form of the expression is A = ( x - 7 ) ( x + 8 ) and sum of the values in the blanks should be 1

What is Factorizing?

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = x² + x - 56

On factorizing the equation , we get

A = x² + 8x - 7x - 56

8x - 7x = 1

So , A = ( x - 7 ) ( x + 8 )

Hence , the expression is A = ( x - 7 ) ( x + 8 )

To learn more about factorization click :

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An airplane descends 2.7 miles to an elevation of 8.35 miles. Find the elevation of the plane before its descent.

Answers

11.05

You would add these two numbers to find what the started at because the inverse of subtraction is addition.

Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve. 6x^2-x-2=0

Answers

Given:

The quadratic equation is:

[tex]6x^2-x-2=0[/tex]

To find:

The nature of the solutions by using the discriminant.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then its discriminant is:

[tex]D=b^2-4ac[/tex]

If D<0, then both roots are complex.

If D=0, then both roots are real and equal.

If D>0, then both roots are real and distinct.

We have,

[tex]6x^2-x-2=0[/tex]

Here, [tex]a=6,b=-1,c=-2[/tex]. So, the value of the discriminant is:

[tex]D=(-1)^2-4(6)(-2)[/tex]

[tex]D=1+48[/tex]

[tex]D=49[/tex]

Since [tex]D>0[/tex], then both roots are real and distinct.

Hence, the discriminant of the given quadratic equation is 49 and both roots are real and distinct.

7. Find the value of x.

Answers

Answer:

7

Step-by-step explanation:

Answer:x=14


Explanation

I need help on this question

Answers

Answer:

1313.19 in

Step-by-step explanation:

have a nice dayyy :)

Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make
the same amount of wages, y, by working the same number of hours, x, in one week?
O Yes, because the slopes of the equations are different so the system of equations will have one solution.
No, because the slopes of the equations are different so the system of equations will have no solutions.
O Yes, because the slopes of the equations are the same so the system of equations will have infinitely many solutions.
No, because the slopes of the equations are the same so the system of equations will have no solutions.

Answers

Answer:

first option

They will make the same amount in week 25

Step-by-step explanation:

please help with this problem

Answers

Answer:

9

Step-by-step explanation:

constant of proportionality in this problem is the cost per pant

Nine. I think I’m not sure

Will yall help me please help me i will help ya´ll whenever ya´ll need points just ask something or i will make things where i will get ya´ll some points just will help me on this quiestion..?

Answers

It’s 5 because we put the numbers in order
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