Suppose that #f(x)= t^2 + 3t - 7#. What is the average rate of change of f (x) over the interval 5 to 6?
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The average rate of change of a function is the same as the total change over the total time, i.e. the rate is
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To find the average rate of change of ( f(x) = t^2 + 3t - 7 ) over the interval [5, 6], you would calculate ( f(6) - f(5) ) and divide by ( 6 - 5 ).
Substitute ( t = 6 ) into ( f(t) ) to find ( f(6) ) and substitute ( t = 5 ) to find ( f(5) ). Then, subtract ( f(5) ) from ( f(6) ) and divide the result by 1 (since the interval is from 5 to 6).
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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.
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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