The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 2 + t , y = 3 + 1 2 t, where x and y are measured in centimeters. the temperature function satisfies tx(2, 4) = 8 and ty(2, 4) = 9. how fast is the temperature rising on the bug's path after 2 seconds? (round your answer to two decimal places.)

The temperature is increasing at the rate of 6.5 degree celcius per second.

Step-by-step explanation:

We are given the following information:

Temperature of a point is given by T(x,y)

After t seconds a bug reaches a point

At t = 2, x = 2, y = 4

The temperature function satisfies:

We have to find:

Hence, the temperature is increasing at the rate of 6.5 degree celcius per second.

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step-by-step explanation: