The force applied against a moving object travelling on a linear path is given by #F(x)= 2x^3+x#. How much work would it take to move the object over #x in [0, 4] #?
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Work = ∫[0 to 4] F(x) dx Work = ∫[0 to 4] (2x^3 + x) dx Work = [(1/2)x^4 + (1/2)x^2] evaluated from 0 to 4 Work = (1/2)(4^4 + 4^2) - (1/2)(0^4 + 0^2) Work = 272 J
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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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