Answer:
(1/C)dR/dt - dT/dt = 0
Step-by-step explanation:
Let R be the rate at which the coffee cools down. Since R is proportional to the difference between the temperature of the coffee, T and the room temperature, we write
R = C(T - 18)
Where C is the proportionality constant.
To write a differential equation describing the derivative of the coffee temperature in terms of T and t, we need to differentiate
R = C(T - 18)
with respect to t.
Doing that, we have
dR/dt = CdT/dt
Or
(1/C)dR/dt - dT/dt = 0
Which is the required differential equation.
Answer:
602.44
Step-by-step explanation:
13.5 times 10.5 equals 141.75 square feet
then 141.75 times 4.25
Answer:
- After 4 seconds the height is 480 meters.
- The maximum height is 484 meters.
- The ball hits the ground after 10 seconds
Step-by-step explanation:
The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480
The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484
To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.

Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.
Answer:
18g
Step-by-step explanation:
Multiply the 3 into 6g.