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

surface area of 30, 8,20

Answers

Answer:

hjub oubh

Step-by-step explanation:

Skill
Figure A is a scale image of figure B.
Area
Figure A
Area
probi
Quiz
Prace
upo
Figure B
Verti
supp
12
2
Figure A maps to figure B with a scale factor of
7
Unit
Test
What is the value of x?

Answers

Answer:

42

Step-by-step explanation:

you have to do 12 ÷2/7 to get the answer

Change this fraction into a decimal: 80/100

.8


.08


8.0

.008




will give brainlist!!!

Answers

Answer:

0.8

Step-by-step explanation:

80 divided by 100 = .8 or 0.8

1 kilogram 900 is it more than less than or equal to




plz help​

Answers

Answer: =

Step-by-step explanation:

Please help me with the answer to these. The second picture goes along with the first

Answers

39 cents that would be the answer for your question hopefully

An outdoor art display is a metal cube with edge length 57 feet. What is the volume of the cube in cubic​ feet? In cubic​ yards?

Answers

Nevermind, my answer is wrong

NEED HELP ASAP!!!!! Can someone help me???

Answers

Answer:

F = 6x

O = -3x

I = 10x

L = -5

Step-by-step explanation:

FOIL follows the formula:

(a + b)(c + d) = ac + ad + bc+ bd

Answer:

F: (3x) (2x) = 6x^2

O: (3x) (- 1) = -3x

I: (5) (2x) = 10x

L: (5) (-1) = -5

whats the measure of angle E ?

Answers

Answer:

57degrees

Step-by-step explanation:

The triangle is an isosceles triangle, hence m<D = m<E (base angles are equal)

Taking the sum of the angles and equating to 180

5x-4 + 4x+1 + 4x+1 = 180

5x+4x+4x-4+1+1 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x =182/13

x = 14

Get m<E

m<E = 4x+ 1

m<E = 4(14)+ 1

m<E = 56+1

m<E = 57degrees

Hence the measure of m<E is 57degrees

A diameter of a circle has endpoints at (-3, 2) and (-3,-3). What are the coordinates of the center
of the circle?
A (0, 3)
B(-3,-1)
C(-6, -1)
D (-3, 0)

Answers

Answer:

B (-3, -1/2)

Step-by-step explanation:

2 and -3 are 5 units apart which means that the middle is 2 1/2 from either point. This point is (-3, -1/2)

Have a great day!

Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava from the balloon

Answers

Answer:

17

Step-by-step explanation:

Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.

I'm pretty sure thats right, Hope this helps.

In March, an American tourist changed US $1000 into Jamaican currency. Calculate the amount of JM dollars he received. USD $1.00 = JMD $146
a. $0.146
b. $146,000
c. 104,600
d. 150,000

Answers

Answer:

b. $146,000

Step-by-step explanation:

1 usd = 146 jmd

1000 = ___ jmd

We multiply 1000 and 146:

1000($146) = $146,000

1000$ X 146$ = 146,000$ you take the amount in the US dollar that they want you to calculate and multiply it to the JMD $146

HELP!!!!!! BRAINLIEST AWARD!!!!!!
help with math problem below:

Answers

Answer:

Antonio is the right one

Answer:

∠ A = 123°

Step-by-step explanation:

The central angle A is equal to the arc that subtends it , so

∠ A = arc DE = 5x - 2

The angles subtended by the radii and tangents of a circle are supplementary

2x + 7 + 5x - 2 = 180 ← Antonio is correct

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

∠ A = 5 - 2 = 5(25) - 2 = 125 - 2 = 123°

y=3x+4 and 2x-3y=-26 solve for x and y

Answers

Step-by-step explanation:

2x - 3(3x+4) = 26

2x -9x -12 = 26

-7x = 38

x = -38/7

y = 3(38/7) +28/7

y = 142/7

How many solutions does this system of equations have?

y = -1/3x + 7
y = -2x^3 + 5x^2 + x - 2

Answers

Answer:

its one solution

Step-by-step explanation:

This system of equations have a unique solution.

What is a system of equation?

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

The system of equations are

y = -1/3x + 7  ------- (1)

y = -2x^3 + 5x^2 + x - 2 ------- (2)

Equation 1 is a linear equation and equation 2 is a polynomial equation.

So graph these two equations to find the solution.

The graph below shows the plotting of these two equations and

solution of these equations.

From the graph, it is clearly seen that this system of equation has only one solution.

Hence we can conclude that this system of equations have a unique solution.

Learn more about system of equations here

https://brainly.com/question/3183402

#SPJ2

Of 570 people, 365 were male and 368 had brown hair. Of those with brown hair, 108 were female. What is the probability that a person was male or had brown hair? Write your answer as a reduced fraction.

Answers

Answer:

473/570

Step-by-step explanation:

No. of male = 365

No. of female = 570-365 = 205

No. of male with brown hair = 260

No. of female with brown hair = 108

the probability that a person was male or had brown hair = 365/570+108/570 = 473/570 [ for or case we add probabilities]

Answer:

Around 83%        473/ 570

Step-by-step explanation:

365 males  + 108 females with brown hair = 473

Divide the number of outcomes desired by the total  number of outcomes 473/570   = 0.829824....... = 82.98.....%

Find the value of x. Round your answer to the nearest tenth.



x≈

Answers

Answer:

You did not give us an equation :\

You didn’t give us the equation

Help
Write an equation in slope-intercept form of the line that passes through the given points.

Answers

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

How does the mean compare to the median? How do the values of 7 and 9 affect these measures of center?



Sorry I suck at taking pictures, and math apparently.

Answers

Answer:Bueno, normalmente en los artículos semanales intento transmitir dudas o cuestiones que están en el campo, los trending topics del sector porcino, y está claro que la estadística no es uno de ellos, pero precisamente ayer se dio una situación que me llevó a escribir ésta entrada.

Todos los que trabajamos en el sector porcino estamos acostumbrados a manejar y calcular un montón de datos que nos proporciona el programa de gestión, y en muchas ocasiones realizamos pequeñas (o grandes) pruebas, donde manejamos infinidad de números (pesos, GMD, IC etc…)

Lo que sí es cierto, es que la mayoría de nosotros usamos siempre la media como herramienta fundamental. Media de Nacidos vivos, Media de destetados, Media de peso al nacer, media de peso al destete…..media, media, media…y ¿qué tal si usáramos la Mediana?

Éste fue el debate que tuve ayer con un ingeniero agrónomo (si, si, y yo Veterinaria, diversión asegurada), y el que me ha inspirados para hoy.

Para el que, en estos momentos, esté rebuscando en los archivos de su cerebro, “yo esto lo sabía”, un pequeño recordatorio:

La media o promedio, Se interpreta como “punto de equilibrio” o “centro de masas  del conjunto de datos. Es un cálculo muy sencillo en el que intervienen todos los datos. Consiste en el sumatorio de todos los datos dividido por el número de valoresLa mediana, en cambio, es un valor de la variable que deja por debajo de sí a la mitad de los datos, y por encima, la otra mitad.( una vez que estos están ordenados de menor a mayor). Se sitúa, por lo tanto, en la mitad real de los datos.

Es mucho más difícil de calcular:

Con un ejemplo se entiende muchísimo mejor.

Imaginaos una empresa en la que la mayoría de los trabajadores tienen un sueldo de 1000 euros, excepto 2 encargados que cobran 2000 y el jefe que cobra 6000 euros mensuales.

¿Cuál es el salario medio de la empresa?

Si vemos la media sale casi 2000 euros, si miramos la mediana, nos da 1000.

¿Cuál se aproxima más a la realidad?

Cuando los datos son muy homogéneos la media nos da un valor representativo de la realidad, pero cuando los datos son muy heterogéneos no.

Un ejemplo más cercano a nosotros

Queremos saber el peso de los lechones a destete. Imaginemos que la camada A tiene los siguientes pesos:  (4-3-5-4.5-6.1-5-3-5.1-6.4-6-6.5-5.5-4.9).

Step-by-step explanatio

a soda company puts a different symbol on a soda cap each year. ​

Answers

Answer:

cool

Step-by-step explanation:

Need help on the diagonal of the rectangular prism

Answers

Find the length of the rest of the rectangle on the bottom and then use pythagorean theorem to find the diagonal side of the triangle.

it's all on the picture ​

Answers

The answer is 15
15 +9 = 24

Answer:

j = 15

Step-by-step explanation:

j + 9 = 24

j + 9 - 9 = 24 - 9

j = 15

65/p • 3 when p = 5

Answers

Answer:

39

Step-by-step explanation:

65/5=13

13x3=39

Answer:

39

Step-by-step explanation:

Note that p = 5. Plug in 5 for p in the expression. Remember to follow the  

left-> right rule:

65/p • 3

65/5 • 3

(65/5)  •  3

(13)  •  3 = 39

39 is your answer.

~

Quadrilateral ABCD has the following coordinates A (0,0) B(0,3) C(5,5) D(5,2). What kind of quadrilateral is ABCD? Prove your answer

Answers

Answer:

Parallelogram

Step-by-step explanation:

Prove using diagram on graph paper (attached drawing)

An aquarium holds 11.95 cubic feet of water, and is 2.8 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

3.05feet

Step-by-step explanation:

Given data

Volume = 11.95 cubic feet

Lenght =  2.8 feet

Width= 1.4feet

Depth= ????

We know that the expression for the volume is

V= L*W*D

substitute

11.95= 2.8*1.4*D

11.95= 3.92D

divide both sides by 3.92

D= 11.95/3.92

D= 3.05

Hence the depth is 3.05feet approx

Suppose an arithmetic sequence has a common difference of -5. What is the next term after 105?

Answers

Answer:

         - 525

Step-by-step explanation:

[tex]a_{n+1}=a_n\cdot r[/tex]

So, if the common ratio is -5 the next term is always (-5) times the previous term.

105·(-5) = - 525

A daily newspaper sells monthly subscriptions for $15. Each individual copy of the newspaper costs $0.75. In a month that has exactly 30 days, how much could be saved by purchasing a subscription instead of purchasing an individual copy each day?

Answers

Answer:

With the subscription, $7.5 will be saved.

Step-by-step explanation:

Giving the following information:

A daily newspaper sells monthly subscriptions for $15. Each copy of the newspaper costs $0.75.

First, we need to calculate the total cost of buying 30 newspapers individually:

Total cost= 0.75*30

Total cost= $22.5

Difference= 22.5 - 15= $7.5

With the subscription, $7.5 will be saved.

Which expressions are equivalent to 4(4a+5)?
A: 16a + 5
B: 16a + 20
C: 12a + 20 +4a
D: 2(8a +10)
E: 16a + 5 + 4

Answers

Answer: B: 16a+20

Explanation: Distribute
4(4a) + 4(5) = 16a +20
What they said. Is correct

The radius of a circle measures 11cm. what is the circumference of the circle?​

Answers

Answer:

C = 69.08

Step-by-step explanation:

C = 2πr

C = 22π or 69.08

Q9 The number that happens the most: *

A Mean
B Median
C Mode
D Range

Answers

Answer:

C

Step-by-step explanation:

The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Seth bought glow-in-the-dark stars to
put on his ceiling. There are 5 big stars
and 25 little stars. He wants to make
constellations that each have 1 big
star. If he uses the same amount of
stars for each constellation, how many
little stars will each have?

Answers

Answer:

Each constellation will have 5 little stars.

Step-by-step explanation:

First, let's organize the information we have:

5 big stars25 little starsEach constellation should have 1 big starEach constellation should have the same amount of stars

Now, let's solve the problem:

Each constellation should have 1 big star, and Seth has 5 big stars, so we can infer that there would be 5 constellations.Since each constellation have 1 big star, and the amount of stars in each constellation is the same, the amount of little stars in each constellation are the same.We have 25 little stars, and there are 5 constellations; 25 ÷ 5 = 5, so each constellation have 5 little stars.
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