Questions from General Calculus


Q: Use a graph to find approximate x-coordinates of the points

Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves.

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Q: Use a graph to find approximate x-coordinates of the points

Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves.

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Q: Use a graph to find approximate x-coordinates of the points

Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves.

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Q: Show that f10(1 – x2) n dx = 22n

Show that f10(1 – x2) n dx = 22n(n!)2/ (2n + 1)! Hint: Start by showing that if denotes the integral, then

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Q: Sketch the region that lies between the curves y = cos x

Sketch the region that lies between the curves y = cos x and y = sin 2x and between x = 0 and x = π/2. Notice that the region consists of two separate parts. Find the area of this region.

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Q: Sketch the curves y = cos x and y = 1 –

Sketch the curves y = cos x and y = 1 – cos x, 0 < x < π, and observe that the region between them consists of two separate parts. Find the area of this region.

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Q: Racing cars driven by Chris and Kelly are side by side at

Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use Simpson&acir...

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Q: Determine whether each integral is convergent or divergent. Evaluate those that

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.

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Q: The widths (in meters) of a kidney-shaped swimming

The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as indicated in the figure. Use Simpson’s Rule to estimate the area of the pool.

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Q: A cross-section of an airplane wing is shown. Measurements

A cross-section of an airplane wing is shown. Measurements of the thickness of the wing, in centimeters, at 20-centimeter intervals are 5.8, 20.3, 26.7, 29.0, 29.0, 27.6, 26.3, 28.8, 20.5, 15.1, 8.7 a...

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