Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is determined by the equation T=400xyz². Use the method of Lagrange Multipliers to locate the highest and lowest temperatures on the sphere.

Q: The curve y + 22 = 25 is translated to a new position in the plane and the equation of the new curve…

A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: Find the shortest distance from the POINT (1, 0, -2) to the plane x + 2y + z = 4 (round-off the…

A:

Q: Let y= - Find the intersection of these surfaces, Calculate the GB of wrt lex order x>4>2)

A:

Q: Find the shortest distance between the line L1:2x + y - 3 = 0 and the plane P1:3x - 4y + 12z + 5 =…

A: The formula for the distance between a point and a plane must be used to determine the shortest…

Q: Find the point on the plane x+y+z=-46 that is closest to the point (1,1,1).

A:

Q: Find the shortest distance from the point (1, 1, 4) to the cone z = You may round to the nearest…

A:

Q: The first car A moves in the northern direction at a speed u(mph), and the second car B moves to the…

A: The first car A moves in northern direction i.e. towards positive y-axis and the second car B moves…

Q: A grass fire burns in an approximate circle. Firefighters, spraying the fire, can affect the area of…

A:

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

A:

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

A: