Questions from General Calculus


Q: Find the points on the curve where the tangent is horizontal or

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work.

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Q: Find the points on the curve where the tangent is horizontal or

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work.

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Q: Find the points on the curve where the tangent is horizontal or

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work.

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Q: Use a graph to estimate the coordinates of the rightmost point on

Use a graph to estimate the coordinates of the rightmost point on the curve x = t - t6, y = et. Then use calculus to find the exact coordinates.

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Q: Use a graph to estimate the coordinates of the lowest point and

Use a graph to estimate the coordinates of the lowest point and the leftmost point on the curve x = t4 - 2t, y = t + t4. Then find the exact coordinates.

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Q: Graph the curve in a viewing rectangle that displays all the important

Graph the curve in a viewing rectangle that displays all the important aspects of the curve.

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Q: Graph the curve in a viewing rectangle that displays all the important

Graph the curve in a viewing rectangle that displays all the important aspects of the curve.

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Q: Show that the curve x = cos t, y = sin

Show that the curve x = cos t, y = sin t cos t has two tangents at (0, 0) and find their equations. Sketch the curve.

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Q: Graph the curve x = 22 cos t, y = sin

Graph the curve x = 22 cos t, y = sin t + sin 2t to discover where it crosses itself. Then find equations of both tangents at that point.

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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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