Question

e) The temparature at the point y,z) is given by T(x,y,z) x2yz °C Use the method of tagrane multipliers to find the hottest a

0 0
Add a comment Improve this question Transcribed image text
Answer #1

let foyz) žyz do maimze ad minimize -1220 ary The _(xyz) +ACtf+12) 0 Auttere parthialy to aand z 2 (2)0 t 24 o 22 equahiny f

Add a comment
Know the answer?
Add Answer to:
e) The temparature at the point y,z) is given by T(x,y,z) x2yz °C Use the method...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The temperature of points on an elliptical plate x² + y2 + xy s 4 is...

    The temperature of points on an elliptical plate x² + y2 + xy s 4 is given by the equation T(x,y)=9(x² + y2). Find the hottest and coldest temperatures on the edge of the elliptical plate. Set up the equations that will be used by the method of Lagrange multipliers in two variables to solve this problem. The constraint equation is The vector equation is =1(O The hottest temperature is degrees. The coldest temperature is degrees.

  • The flat circular plate shown on the right has the shape of the region x +y?...

    The flat circular plate shown on the right has the shape of the region x +y? 51. The plate, including the boundary where x² + y2 = 1, is heated so that the temperature at the 5 point (x,y) is T(x,y)=x + 3y2 + 3. Find the temperatures at the hottest and coldest points on the plate. degrees The hottest temperature on the plate is (Type an integer or a simplified fraction.) The coldest temperature on the plate is degrees....

  • 2. Define a function g: R3 +R by g(x, y, z) = 2x2 + y2 +...

    2. Define a function g: R3 +R by g(x, y, z) = 2x2 + y2 + x2 + 2xz – 2y – 4. (a) Find all the critical points of g. (b) Compute the Hessian H, of g. (c) Classify the critical points of g. (d) The surface g(x, y, z) = 0 is an ellipsoid . Use the method of Lagrange multipliers to find the maximum value of the function (5 marks) (5 marks) (5 marks) f(x, y, z)...

  • find the surface area of that portion of the sphere x^2+y^2+z^2 = 25 that is below...

    find the surface area of that portion of the sphere x^2+y^2+z^2 = 25 that is below the xy-plane and within the cylinder x^2+y^2=4 5. [10 Marks] Find the surface area of that portion of the sphere x2 + y2 2-25 that is below the ry-plane and within the cylinder 2 -4

  • For the described solid S, write the triple integral f(x,y, z)dV as an iterated integral in (i) r...

    For the described solid S, write the triple integral f(x,y, z)dV as an iterated integral in (i) rectangular coordinates (x,y, z); (ii) cylindrical coordinates (r, 0, 2); (iii) spherical coordinates (p, φ,0). a. Inside the sphere 2 +3+224 and above the conezV b. Inside the sphere x2 + y2 + 22-12 and above the paraboloid z 2 2 + y2. c. Inside the sphere 2,2 + y2 + z2-2 and above the surface z-(z2 + y2)1/4 d. Inside the sphere...

  • 6 (20 pts). Let F(x, y, z) = x2 + y2 + x2 - 6xyz. (1)...

    6 (20 pts). Let F(x, y, z) = x2 + y2 + x2 - 6xyz. (1) Find the gradient vector of F(x, y, z); (2) Find the tangent plane of the level surface F(x, y, z) = x2 + y2 + x2 - 6xyz = 4 at (0, 0, 2); (3) The level surface F(x, y, z) = 4 defines a function z = f(x,y). Use linear approxi- mation to approximate z = = f(-0.002,0.003).

  • Use Lagrange multipliers to find both the maximum and minimum values of f(z, y, z) = 2x + y-2z on...

    Can you help me? This is calculus 3. Use Lagrange multipliers to find both the maximum and minimum values of f(z, y, z) = 2x + y-2z on the sphere r2 + y2 + z2-4. Use Lagrange multipliers to find both the maximum and minimum values of f(z, y, z) = 2x + y-2z on the sphere r2 + y2 + z2-4.

  • (2) The area of the surface with equation z = f(x,y). (x,y) E D. where fra...

    (2) The area of the surface with equation z = f(x,y). (x,y) E D. where fra f, are continuous, is A(S) = SVGC3. y)]? + [f;(x, y)]? +T dA If you attempt to use Formula 2 to find the area of the top half of the sphere x + y2 + 2? = a, you have a slight problem because the double integral is improper. In fact, the integrand has an infinite discontinuity at every point of the boundary circle...

  • 5 and 6 please 5) Given the surface f(x, y, z) = 0 or z =...

    5 and 6 please 5) Given the surface f(x, y, z) = 0 or z = f(x,y), find the tangent plane at P. a) z2 – 2x2 – 2y2 = 12 @ P=(1,-1,4) b) f(x,y) = 2x - 3xy3 @ 12,-1) c) f(x,y) = sin(x) @ (3,5) 6) Find an equation of the tangent plane and the equation of the normal line to surface f(x..zb=0 @P x2 + y2 + z2 = 9 P = (2,2,1)

  • Evaluate the surface integralG(x, y, z) ds G(x, y, z) (x2 +y')z; S that portion of...

    Evaluate the surface integralG(x, y, z) ds G(x, y, z) (x2 +y')z; S that portion of the sphere x2 + y2 + z2-16 in the first octant eBook

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT