True or false?  1. Do all continuous functions have antiderivatives

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A: We know ∫abf(x)dx = Area under the curve f(x) and x axis  between x =a  and  x = b

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Q: Antiderivatives Can two different functions both be antiderivatives of the same function? Explain.

A: Can two different function both be antiderivatives of teh same function?

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A: we have to find the graph

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A: Given  The function is  f(x)=14x4+13x3-8x2-16x. function interval is [-4, 4] .

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A: Given,f(x) = x45-3f'(x)=45x45-1=45x-15f"(x)=45 ×-15 x-15-1=-425x-65If f'(x)=0 ⇒45x-15=0⇒1x15=0

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Q: 1. True or False: Click A if the statement is True, otherwise click B (False). 1. All continuous…

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A: Average value of the function(over an interval):g(x) =1b-a ∫ab g(x) dxg(x)=f'(x)g(x)=1b-a ∫ab f'(x)…

Q: (4) (Extra Credit) The gravitational force exerted by Earth on a unit mass at a distance r from the…

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Q: All continuous functions have antiderivatives. If f and g are continuous on a <x < b, then "Ư(x) +…

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A: Actually integration gives both negative as well as positive values.

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Q: The area between the curves f(x) = x and g(x)= x^2 on interval [0.2] * 02 Me: wow I finally…

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Q: f(x) dx, where f is continuous. State whether the following are true or false: 2. Let / = (a) I is…

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Q: 1. If fis continuous and f(x) dx = 9 , explain how to determine whether or not f takes on the value…

A: 1)  Given: ∫14fxdx=9It means area under the curve in the interval 1 to 4 is 9.We know, area,…

Q: Make sure you do your best to answer all three parts. Suppose f(x) and F(x) are continuous functions…

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Q: Continuity At what points of ℝ2 are the following functions continuous?

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Q: Classify the extrema for the continuous function ??(??) that has these characteristics:  x f(x) f '…

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Q: The total area bounded by the curve y = f(x) and the x- axis on the interval [-3, 3], which area…

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