1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Helga [31]
3 years ago
5

The temperature at a point (x,y) on a flat metal plate is given by T(x,y)=19/(2+x^2+y^2), where T is measured in Celsuis and x,y

in meters. Find the rate of change of temperature with respect to distance at the point (1,2) in the following directions.
(a) the x-direction
(b) the y-direction
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0
Just need to take partial derivatives of the function with respect to x and y then plug in the point coordinates
dT/dx = -38x/(2 + x^2 + y^2)^2dT/dy = -38y/(2 + x^2 + y^2)^2  (only difference is the y in the numerator)
so at point 1,2dT/dx = -38/49 = -0.7755dT/dy = -76/49 = -1.551
You might be interested in
Yutaka enjoys running. For every kilometer he runs, he burns 65 calories. He wrote this equation to find how many calories he bu
koban [17]

Answer:

(k): 65k=c   is true  per kilometer he runs,

Step-by-step explanation:

(k): 65k=c   is true     if Yutaka was to walk and burn only 48 calories then k then is x= walk  and y = run   8x+7y>= c      8x+7y>=  8(48) + 7(65) >= 839

5 0
1 year ago
The enrollment for a new program is 1,500 students. the program is expected to grow at a rate of 0.03. what is the expected enro
Hatshy [7]

The expected enrolment in 7 years is  1845.

<h3>What is the expected enrolment?
</h3>

The formula for calculating future value of the number of students is an exponential equation with this form:

FV = P (1 + r) ^n

  • FV = Future population
  • P = Present population
  • R = rate of growth of the population
  • N = number of years

1500 x (1.03)^7 = 1845

To learn more about future value, please check: brainly.com/question/18760477

#SPJ1

3 0
2 years ago
Look at the picture<br>​
butalik [34]

The interval where the function is increasing is (3, ∞)

<h3>Interval of a function</h3>

Given the rational function shown below

g(x) = ∛x-3

For the function to be a positive function, the value in the square root  must be positive such that;

x - 3 = 0

Add 3 to both sides

x = 0 + 3

x = 3

Hence the interval where the function is increasing is (3, ∞)

Learn more on increasing function here: brainly.com/question/1503051

#SPJ1

8 0
1 year ago
Steven has 1/3 of package of biscuit mix left.He will use equal para of the leftover mix to make three watches of biscuits. If h
Nuetrik [128]

Answer:

1/9

Step-by-step explanation:

(1/3)/3 = 1/9

3 0
2 years ago
What is the value of x if 5x+2 = 59?
lana66690 [7]

Answer:

x = 57/5 = 11.400

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    5x-57 = 0

Add  57  to both sides of the equation :

                     5x = 57

Divide both sides of the equation by 5:

                    x = 57/5 = 11.400

One solution was found :

                  x = 57/5 = 11.400

Processing ends successfully

plz mark me as brainliest :)

8 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me with this question please?
    14·1 answer
  • I need help it has to be correct
    9·1 answer
  • The perimeter of a stop sign has a perimeter of 16x2 - 80x. What is the length of one side?
    9·1 answer
  • Subracting mixed numbers 9 2/6 - 6 5/6 =
    12·1 answer
  • Solve the system of equations for x using elimination. 3x-2y=8<br> 2x+2y=7
    11·1 answer
  • Suppose that y varies directly with x and y 12 when x--2. What is x when y -6?
    10·1 answer
  • Under what condition will the percentage error be negative
    7·1 answer
  • A small painting has an area of 400 cm2. The length is 4 more than 2 times the width. Find the dimensions of the painting. Solve
    5·1 answer
  • Triangle angle sum theorem <br> What is the value of p?
    8·1 answer
  • The correlation between two scores X and Y equals 0.75. If both scores were converted to Z-scores, then the correlation between
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!