# What is a solution to the differential equation #dT+k(T-70)dt# with T=140 when t=0?

this is separable

Applying IV

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The solution to the given differential equation ( \frac{dT}{dt} + k(T-70) = 0 ), with initial condition ( T = 140 ) when ( t = 0 ), is ( T(t) = 70 + 70e^{-kt} ), where ( k ) is a constant.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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