Questions from General Calculus


Q: Describe the motion of a particle with position sx, yd as

Describe the motion of a particle with position sx, yd as t varies in the given interval.

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Q: Match the graphs of the parametric equations x = f(t

Match the graphs of the parametric equations x = f(t) and y = t(t) in (a)–(d) with the parametric curves labeled I–IV. Give reasons for your choices.

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Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

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Q: Use the graphs of x = f(t) and y

Use the graphs of x = f(t) and y = t(t) to sketch the parametric curve x = f(t), y = t(t). Indicate with arrows the direction in which the curve is traced as t increases.

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Q: Use the graphs of x = f(t) and y

Use the graphs of x = f(t) and y = t(t) to sketch the parametric curve x = f(t), y = t(t). Indicate with arrows the direction in which the curve is traced as t increases.

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Q: Use the graphs of x = f(t) and y

Use the graphs of x = f(t) and y = t(t) to sketch the parametric curve x = f(t), y = t(t). Indicate with arrows the direction in which the curve is traced as t increases.

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Q: Match the parametric equations with the graphs labeled I–VI.

Match the parametric equations with the graphs labeled I–VI. Give reasons for your choices. (Do not use a graphing device.)

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Q: Graph the curves y = x3 - 4x and x = y3

Graph the curves y = x3 - 4x and x = y3 - 4y and find their points of intersection correct to one decimal place.

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Q: (a) Show that the parametric equations / where

(a) Show that the parametric equations where 0 (b) Find parametric equations to represent the line segment from (22, 7) to (3, 21).

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Q: Use a graphing device and the result of Exercise 31(a

Use a graphing device and the result of Exercise 31(a) to draw the triangle with vertices A(1, 1), B(4, 2), and C(1, 5). Data from Exercise 31: (a) Show that the parametric equations where 0 (b) Fin...

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