Questions from General Calculus


Q: Find the area under each of the given curves. y

Find the area under each of the given curves. y = e3x; x = - 1/3 to x = 0

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Q: Find the real number b > 0 so that the area under

Find the real number b > 0 so that the area under the graph of y = x3 from 0 to b is equal to 4.

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Q: Find the real number b 7 0 so that the area under

Find the real number b 7 0 so that the area under the graph of y = x2 from 0 to b is equal to the area under the graph of y = x3 from 0 to b.

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Q: Determine Δx and the midpoints of the subintervals formed by partitioning the

Determine Δx and the midpoints of the subintervals formed by partitioning the given interval into n subintervals. 0 ≤ x ≤ 2; n = 4

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Q: Determine Δx and the midpoints of the subintervals formed by partitioning the

Determine Δx and the midpoints of the subintervals formed by partitioning the given interval into n subintervals. 0 ≤ x ≤ 3; n = 6

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Q: Determine Δx and the midpoints of the subintervals formed by partitioning the

Determine Δx and the midpoints of the subintervals formed by partitioning the given interval into n subintervals. 1 ≤ x ≤ 4; n = 5

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Q: Determine Δx and the midpoints of the subintervals formed by partitioning the

Determine Δx and the midpoints of the subintervals formed by partitioning the given interval into n subintervals. 3 ≤ x ≤ 5; n = 5

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Q: Determine the following: ∫1/7x dx

Determine the following: ∫1/7x dx

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Q: Use a Riemann sum to approximate the area under the graph of

Use a Riemann sum to approximate the area under the graph of f (x) on the given interval, with selected points as specified. f (x) = x2; 1 ≤ x ≤ 3, n = 4, midpo...

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Q: Use a Riemann sum to approximate the area under the graph of

Use a Riemann sum to approximate the area under the graph of f (x) on the given interval, with selected points as specified. f (x) = x2; -2 ≤ x ≤ 2, n = 4, midp...

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