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
Radda [10]
1 year ago
6

E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))

. E temperature at the point (1, 0, 0) is 120○c
Mathematics
1 answer:
olasank [31]1 year ago
6 0

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

So

T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}

Then we have

\rm \triangledown T =  \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction \triangledownT. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

You might be interested in
In the "magic square" at the right, the four numbers
romanna [79]

Answer:

15

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
-1&lt;9+n&lt;17<br><br><br>i don't understand how to solve it
Ugo [173]

-1<9+n<17

-1-9<n<17-9

-10<n<8


6 0
3 years ago
Need help with this math
alexira [117]

A hole occurs when both numerator and denominator of  a rational function have the same factor.

<u>Step-by-step explanation:</u>

While graphing rational function, it has to be converted into the lowest terms by factoring the numerator and denominator. If the numerator and denominator has the same factor, a hole is said to have occurred and to solve the rational function, you have to set the common factor to zero.

After you set it to zero and solve, you obtain the x value which can be then used to find out the value of y.

8 0
2 years ago
Pleaseeeee help :'))))
jeka57 [31]

Answer:

The answer is

x= -35

Step-by-step explanation:

x/5= -7

x= -35. :-)

7 0
3 years ago
Read 2 more answers
What is 30x pulse 80x
nataly862011 [7]
It would be 110x because they are like units, so they can be added together. Really, you are just doing 80 plus 30, and then adding an x on the end.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone explain to me how I solve this problem. need íԵ as soon as possible. please help!❤️
    14·1 answer
  • Solve the equation. Determine whether the equation has one solution, no solution, or
    6·1 answer
  • Find the equation of the line shown.
    15·1 answer
  • $4500 principal, 9% rate, 3.5 years. find the simple interest
    12·1 answer
  • A cylindrical bucket contains 615 cubic inches of water the heigh of the water is 4 inches what is the radius of the bucket to t
    12·1 answer
  • there are 3 different cheeses at the deil. yasuko buys 3/4 of a pound of each there are also 4 different meats she buys 1/2 of a
    14·2 answers
  • A goalie (.) and goals scored against (x)
    5·1 answer
  • I will give BRAINLIEST to the correct answer <br> Find the measure of angle 2
    8·1 answer
  • Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how
    8·1 answer
  • 23x25 = please help ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!