e temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x2 -5y2 - 722 ere T is measured in °C and x, y, z in meters.. (a) Find the rate of change of temperature at the point P(4, -1, 3) in the direction towards the point (6, -5, 6). °C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P.

Q: f (x) = a?2 + bx + c  mtan =f’= 2ax + b   At what value(s) of x is the line tangent to the graph of…

A:

Q: The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 97/(6 + x² + y2),…

A:

Q: find Using your results from problem #3 the equation of the tangent line for f(x)... when -20 2-2…

A: We have to find the tangent line equation

Q: Suppose the temperature of a plate at the point (x, y), where x > 0, is T = f (x, y) = 2 and at some…

A:

Q: Find maximum rate of change of f at the given point. f(x,y)=sin(xy), (1,0)

A:

Q: An object is traveling along the line y = 2x + 1 heading up and to the right. If the temperature at…

A:

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x² - 5y29z2 where T is measured…

A:

Q: 2) A particle is moving along the curve whose equation is 1+ Assume that the x-coordinate is…

A:

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 300e-x²-3y² - 9z² where T is measured…

A: