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Net change Quiz

10 questions · easy to harder · Calculus 1 · score and step-by-step answers

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  1. 1 Question 1

    Water flows into a tank at r(t) = 4t + 5 litres per minute. How much flows in from t = 0 to t = 4?

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  2. 2 Question 2

    Air flows into a balloon at r(t) = 2t + 10 litres per second. How much flows in from t = 2 to t = 6?

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  3. 3 Question 3

    Oil flows into a tank at r(t) = 8 − 2t gallons per hour. How much flows in from t = 0 to t = 3?
    1. A) amount = −15 gallons
    2. B) amount = 15 gallons
    3. C) amount = −6 gallons

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  4. 4 Question 4

    V(t) = 2t − 4 ms from t = 0 to t = 5. Find the displacement and the total distance.

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  5. 5 Question 5

    V(t) = 6 − 2t ft/s from t = 1 to t = 5. Find the displacement and the total distance.

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  6. 6 Question 6

    Sand flows into a pile at r(t) = 9 − t2 cubic metres per hour. How much flows in from t = 0 to t = 3?

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  7. 7 Question 7

    Water flows into a tank at r(t) = t3 + 1 litres per minute. How much flows in from t = 0 to t = 2?

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  8. 8 Question 8

    V(t) = t2 − 4t ms from t = 0 to t = 5. Find the displacement and the total distance.

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  9. 9 Question 9

    V(t) = t2 − 6t + 8 ms from t = 0 to t = 5. Find the displacement and the total distance.

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  10. 10 Question 10

    V(t) = t2 − 2t ms from t = 1 to t = 4. Find the displacement and the total distance.

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