Help with number 6 please. thank you.​

See Below.

Step-by-step explanation:

We are given that:

And we want to show that:

From the original equation, divide both sides by (T - T₀) and multiply both sides by dt. Hence:

Take the integral of both sides:

Integrate. For the left integral, we can use u-substitution. Note that T₀ is simply a constant. Hence:

Raise both sides to e:

Simplify:

Since the temperature T will always be greater than or equal to the surrounding medium T₀, we can remove the absolute value. Hence:

Therefore:

idk u tell me

step-by-step explanation:

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5