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
sveticcg [70]
3 years ago
5

The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 45/(6 + x2 + y2), where T is measured in °C and x,

y in meters. Find the rate of change of temperature with respect to distance at the point (3, 1) in the x-direction and the y-direction. (a) the x-direction °C/m (b) the y-direction °C/m
Physics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

Change in x direction is -1.054^{o}C

Change in y direction is -0.35^{o}C

Explanation:

The temperature is given by we need to find gradient of temperature to obtain the rate of change thus

T(x,y)=\frac{45}{6+x^{2}+y^{2}}\\\\\therefore \bigtriangledown T(x,y)=\frac{\partial T(x,y)}{\partial x} \widehat{i}+\frac{\partial T(x,y)}{\partial y} \widehat{j}\\\\\frac{\partial T(x,y)}{\partial x}=\frac{-45}{(6+x^{2}+y^{2})^{2}}\times 2x\widehat{i}\\\\\frac{\partial T(x,y)}{\partial y}=\frac{-45}{(6+x^{2}+y^{2})^{2}}\times 2y\widehat{j}\\\\

Now the rate of change at (3,1) in

1) X direction is given by

\frac{\partial T(3,1)}{\partial x}=\frac{-45}{(6+3^{2}+1^{2})^{2}}\times 2\times 3\widehat{i}=-1.054\widehat{i}

2) Y direction is given by

\frac{\partial T(3,1)}{\partial y}=\frac{-45}{(6+3^{2}+1^{2})^{2}}\times 2\times 1\widehat{j}=-0.35\widehat{j}\\\\

You might be interested in
Explain Rutherford's experiment?
Ipatiy [6.2K]

Answer:

Rutherford bombarded aluminum foil with beam of light known as alpha particles. The mass of this alpha particle is equivalent to helium atom.

Explanation:

Rutherford bombarded aluminum foil with beam of light known as alpha particles. The mass of this alpha particle is equivalent to helium atom.

When this alpha particles were made to strike the aluminum foil, some passed through the foil, some were reflected and speed others changed.

The ones reflected encountered heavier particle known as the nucleus, preventing them from passing through it. The whole observations indicated that atom is not is uniformly charged sphere as proposed by J.J Thomson.

Rutherford proposed new model known as the Planetary model of atom, which described atom as containing a nucleus which is revolved by electron, just like planets revolve round the sun. And this nucleus contains opposite charge to electron which is proton, to balance the motion.

7 0
3 years ago
Which of the following is a typical property of an ionic compound
Yanka [14]

The answer is C.

Ionic compounds are those that bring together anions and cations bonded together by ionic bonds. The electrostatic forces of the different charges are significant in the bonds that make them strong hence require high energy to break them (high melting point).  Due to the regular structure of ionic compound that tend to form lattices in solid form, when struck, they shatter along the lines of weakness of the lattice.  

6 0
3 years ago
Read 2 more answers
How r u?<br> Are u good?
Maslowich

Answer:

i'm good, hru hope ur staying safe

Explanation:

6 0
3 years ago
Read 2 more answers
Does heat always give of heat
iren2701 [21]
Yes it does (not to be  mean its kinda stupid for you to ask)
3 0
3 years ago
Read 2 more answers
Examine the scenario.
vovangra [49]

Answer:

acceleration 8 km/h/s south

Explanation:

First of all, let's remind that a vector quantity is a quantity which has both a magnitude and a direction.

Based on this definition, we can already rule out the following two choices:

distance: 40 km

speed: 40 km/h

Since they only have magnitude, they are not vectors.

Then, the following option:

velocity: 5 km/h north

is wrong, because the car is moving south, not north.

So, the correct choice is

acceleration 8 km/h/s south

In fact, the acceleration can be calculated as

a=\frac{v-u}{t}

where

v = 40 km/h is the final velocity

u = 0 is the initial velocity

t = 5 s is the time

Substituting,

a=\frac{40 km/h-0}{5 s}=8 km/h/s

And since the sign is positive, the direction is the same as the velocity (south).

7 0
3 years ago
Other questions:
  • a portable DVD player requires six 1.5-volt batteries to operate.if the resistance in the circuitis 7.2 ohms. what's the current
    14·1 answer
  • Three pucks A, B, and C are shown sliding across ice at the noted speeds. Air and ice friction forces
    7·1 answer
  • A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 100 m above ground level, and the ball i
    5·1 answer
  • The direction that an induced current flows in a circuit is given by
    11·1 answer
  • _______ force is the force that keeps an object moving on a curved path that is directed inward towards the center of a rotation
    12·1 answer
  • Which two minerals are commercial sources of iron. explain why the answer is a?
    11·1 answer
  • 4. A steel cable spanning a river is 220.000 m long when the temperature is 30.°C.
    9·1 answer
  • PLEASE HURRY!!!
    15·1 answer
  • Que es el potencial motor?
    12·1 answer
  • A 16.0 kg canoe moving to the left at 12.5 m/s makes an elastic head on collision with a 14.0 kg raft moving to the right at 16.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!