Questions from General Calculus


Q: Cars A and B start at the same place and travel in

Cars A and B start at the same place and travel in the same direction, with velocities after t hours given by the functions Ï…A(t) and Ï…B(t) in Fig. 29. (a) What does the area bet...

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Q: The velocity of an object moving along a line is given by

The velocity of an object moving along a line is given by υ(t) = 2t2 - 3t + 1 feet per second. (a) Find the displacement of the object as t varies in the interval 0 ≤ t ≤ 3. (b) Find the total distanc...

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Q: The velocity of an object moving along a line is given by

The velocity of an object moving along a line is given by υ(t) = t2 + t - 2 feet per second. (a) Find the displacement of the object as t varies in the interval 0 ≤ t ≤ 3. Interpret this displacement...

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Q: Use a graphing utility to find the intersection points of the curves

Use a graphing utility to find the intersection points of the curves, and then use the utility to find the area of the region bounded by the curves. y = ex, y = 4x + 1

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Q: Use a graphing utility to find the intersection points of the curves

Use a graphing utility to find the intersection points of the curves, and then use the utility to find the area of the region bounded by the curves. y = 5 - (x - 2)2, y = ex

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Q: Determine the following: ∫e dx

Determine the following: ∫e dx

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Q: Use a graphing utility to find the intersection points of the curves

Use a graphing utility to find the intersection points of the curves, and then use the utility to find the area of the region bounded by the curves. y = √(x + 1), y = (x - 1)2

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Q: Use a graphing utility to find the intersection points of the curves

Use a graphing utility to find the intersection points of the curves, and then use the utility to find the area of the region bounded by the curves. y = 1/x, y = 3 - x

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Q: Write a definite integral or sum of definite integrals that gives the

Write a definite integral or sum of definite integrals that gives the area of the shaded portions in Fig. 21. Figure 21:

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Q: Write a definite integral or sum of definite integrals that gives the

Write a definite integral or sum of definite integrals that gives the area of the shaded portions in Fig. 22. Figure 22:

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