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1）A room is being heated at the rate of r(t) = (0.3t)1/2, where r(t) is measured in degrees Fahrenheit per minute. If the temperature in the room at 6:00 AM is 50 degrees, what is the formula that will describe the temperature at 9:00 AM? Where T(t) = temperature at time t. Do not evaluate the integral.
2）The temperature in a room is being changed at rate of r(t) = -t2 + 3t, where r(t) is measured in degrees Fahrenheit per min. If the temperature in the room at 4:00 AM is 80 degrees, what formula will describe the temperature at 8:00 AM? Let T(t) describe the temperature at time t. Do not evaluate the integral.

Help me Thanks 1A room is being heated at the rate of rt 03t12 where rt is measured in degrees Fahrenheit per minute If the temperature in the room at 600 AM is class=
Help me Thanks 1A room is being heated at the rate of rt 03t12 where rt is measured in degrees Fahrenheit per minute If the temperature in the room at 600 AM is class=
Help me Thanks 1A room is being heated at the rate of rt 03t12 where rt is measured in degrees Fahrenheit per minute If the temperature in the room at 600 AM is class=

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landofretro

2.) dT/dt = -t^2 + 3t

dT = (-t^2 + 3t)dt

T = -t^3/3 + 3t^2/2 + C

at 4:00 AM

80 = -4^3/3 + 3*4^2/2 + C

C = 80 + 4^3/3 - 3*4^2/2

C = 77.33

T = -t^3/3 + 3t^2/2 + 77.33

at 8:00 AM

T = -8^3/3 + 3*8^2/2 + 77.33

T = 2.67 deg

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