The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 75/(4 + x + y), where Tis measured in °C and x, y in meters. Find the rate of change of temperature with respect to distance at the point (1, 3) in the x-direction and the y-direction. (a) the x-direction C/m (b) the y-direction °C/m

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The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 75/(4 + 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 (1, 3) in the x-direction and the
y-direction.
(a) the x-direction
°C/m
(b) the y-direction
°C/m
Transcribed Image Text:The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 75/(4 + 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 (1, 3) in the x-direction and the y-direction. (a) the x-direction °C/m (b) the y-direction °C/m
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