Question

The temperature on the surface of the sphere x^2+y^2+z^2=9 is given by T(x,y,z)=2x+2y+z, What is the...

The temperature on the surface of the sphere x^2+y^2+z^2=9 is given by T(x,y,z)=2x+2y+z, What is the temperature at the hottest point on the sphere? Enter your answer as a decimal.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and...
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and S(x, y, z) = (2y − z, x − z, y + 3x). Use matrices to find the composition S ◦ T. 2. Find an equation of the tangent plane to the graph of x 2 − y 2 − 3z 2 = 5 at (6, 2, 3). 3. Find the critical points of f(x, y) = (x 2 + y 2 )e −y...
The temperature at a point (x, y, z) is given by T(x, y, z) = 10e^(− ...
The temperature at a point (x, y, z) is given by T(x, y, z) = 10e^(− 2x2 − y2 − 3z2). In which direction does the temperature increase fastest at the point (2, 1, 3)? Express your answer as a UNIT vector.
The temperature at a point (x, y, z) is given by T(x, y, z) = 100e^(−x^2...
The temperature at a point (x, y, z) is given by T(x, y, z) = 100e^(−x^2 − 3y^2 − 9z^2) where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature at the point P(2, −1, 2) in the direction towards the point (5, −2, 3). (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P.
The temperature at a point (x,y,z) is given by T(x,y,z)=200e−x2−y2/4−z2/9, where T is measured in degrees...
The temperature at a point (x,y,z) is given by T(x,y,z)=200e−x2−y2/4−z2/9, where T is measured in degrees celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector. A. Find the rate of change of the temperature at the point (0, -1, 2) in the direction toward the point (-1, 4, 2). b)In which direction (unit vector) does the temperature...
The temperature at a point (x, y, z) is given by T(x, y, z) = 400e−x2...
The temperature at a point (x, y, z) is given by T(x, y, z) = 400e−x2 − 5y2 − 9z2 where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature at the point P(2, −1, 2) in the direction towards the point (3, −5, 6). °C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P.
The temperature at a point (x,y,z) is given by T(x,y,z)=200e−x2−y2/4−z2/9, where Tis measured in degrees celcius...
The temperature at a point (x,y,z) is given by T(x,y,z)=200e−x2−y2/4−z2/9, where Tis measured in degrees celcius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector. Find the rate of change of the temperature at the point (0, 1, -2) in the direction toward the point (-1, -2, 5). In which direction (unit vector) does the temperature increase the...
1. Solve the following system of equations by the elimination method: 2x+y-z=7 x+2y+z=8 x-2y+3z=2 2. Solve...
1. Solve the following system of equations by the elimination method: 2x+y-z=7 x+2y+z=8 x-2y+3z=2 2. Solve the following system of equations by using row operations on a matrix: 2x+y-z=7 x+2y+z=8 x-2y+3z=2
To determine the surface area of the top part of the sphere x^2+y^2+z^2=4 that is inside...
To determine the surface area of the top part of the sphere x^2+y^2+z^2=4 that is inside the cylinder x^2+y^2=2y. first, setup the integral for this surface area in polar coordinates. second, Compute the integral. (be careful when you take the square root.)
Find the maximum and minimum values of f(x,y,z)=2x-2y-z on the closed and bounded set 4x^2+2y^2+z^2 ≤...
Find the maximum and minimum values of f(x,y,z)=2x-2y-z on the closed and bounded set 4x^2+2y^2+z^2 ≤ 1
use lagrange multipliers to locate the maximum of f(x,y,z) = 2x^2 - 2y + z^2 subject...
use lagrange multipliers to locate the maximum of f(x,y,z) = 2x^2 - 2y + z^2 subject to the constraint x^2 + y^2 + z^2 = 1
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT