Questions from General Calculus


Q: Use Pappus’s Theorem to explain your result in Problems 1 and 2

Use Pappus’s Theorem to explain your result in Problems 1 and 2. Data from Problem 1: Suppose the cups have height h, cup A is formed by rotating the curve x = fs/d about the y-axi...

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Q: Based on your own measurements and observations, suggest a value for

Based on your own measurements and observations, suggest a value for h and an equation for x = f(y) and calculate the amount of coffee that each cup holds.

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Q: Graph the Bézier curve with control points P0(4, 1

Graph the Bézier curve with control points P0(4, 1), P1(28, 48), P2(50, 42), and P3(40, 5). Then, on the same screen, graph the line segments P0P1, P1P2, and P2P3. (Exercise 10.1.31 shows...

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Q: From the graph in Problem 1, it appears that the tangent

From the graph in Problem 1, it appears that the tangent at P0 passes through P1 and the tangent at P3 passes through P2. Prove it. Data from Problem 1: Graph the Bézier curve with control points P0...

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Q: Evaluate the integral. /

Evaluate the integral.

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Q: Use multiplication or division of power series to find the first three

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function.

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Q: Use the Ratio Test to determine whether the series is convergent or

Use the Ratio Test to determine whether the series is convergent or divergent.

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Q: Try to produce a Bézier curve with a loop by changing the

Try to produce a Bézier curve with a loop by changing the second control point in Problem 1. Data from Problem 1: Graph the Bézier curve with control points P0(4, 1), P1(28, 48), P2(50, 42), and P3(...

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Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

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Q: Find dy/dx. x = tet, y =

Find dy/dx. x = tet, y = t + sin t

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