Questions from General Calculus


Q: Use a Riemann sum with n = 4 and right endpoints to

Use a Riemann sum with n = 4 and right endpoints to estimate the area under the graph of f (x) = 2x - 4 on the interval 2 ≤ x ≤ 3. Then, repeat with n = 4 and m...

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Q: The graph of the function f (x) = √(1

The graph of the function f (x) = √(1 - x2) on the interval -1 ≤ x ≤ 1 is a semicircle. The area under the graph is 1/2 π(1)2 = &Iu...

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Q: Use a Riemann sum with n = 5 and midpoints to estimate

Use a Riemann sum with n = 5 and midpoints to estimate the area under the graph of f (x) = √(1 - x2) on the interval 0 ≤ x ≤ 1. The graph is a...

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Q: Estimate the area (in square feet) of the residential lot

Estimate the area (in square feet) of the residential lot in Fig. 17. Figure 17:

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Q: A farmer wants to divide the lot in Fig. 18 into

A farmer wants to divide the lot in Fig. 18 into two lots of equal area by erecting a fence that extends from the road to the river as shown. Determine the location of the fence. Figure 18:

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Q: We show that, as the number of subintervals increases indefinitely,

We show that, as the number of subintervals increases indefinitely, the Riemann sum approximation of the area under the graph of f (x) = x2 from 0 to 1 approaches the value 1/3 , which is the exact va...

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Q: We show that, as the number of subintervals increases indefinitely,

We show that, as the number of subintervals increases indefinitely, the Riemann sum approximation of the area under the graph of f (x) = x2 from 0 to 1 approaches the value 1/3 , which is the exact va...

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Q: The area under the graph of the function e-x2 plays

The area under the graph of the function e-x2 plays an important role in probability. Compute this area from -1 to 1.

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Q: Compute the area under the graph of y = 1 / (

Compute the area under the graph of y = 1 / (1 + x2) from 0 to 5.

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Q: Determine the following: ∫ (2/√x + 2

Determine the following: ∫ (2/√x + 2√x) dx

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