Questions from General Calculus


Q: Find the slope of the line through P and Q.

Find the slope of the line through P and Q. P (-1, -4), Q (6, 0)

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Q: Show that the equation represents a circle and find the center and

Show that the equation represents a circle and find the center and radius.

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Q: Show that the lines 2x – y = 4 and 6x –

Show that the lines 2x – y = 4 and 6x – 2y = 10 are not parallel and find their point of intersection.

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Q: Show that the lines 3x – 5y + 19 = 0 and

Show that the lines 3x – 5y + 19 = 0 and 10x + 6y – 50 = 0 are perpendicular and find their point of intersection.

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Q: Show that the midpoint of the line segment from P1 (x1

Show that the midpoint of the line segment from P1 (x1, y1) to P2 (x2, y2) is (x1 + x2/2, y1 + y2/2).

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Q: Find the midpoint of the line segment joining the points (1

Find the midpoint of the line segment joining the points (1, 3) and (7, 15).

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Q: Find an equation of the perpendicular bisector of the line segment joining

Find an equation of the perpendicular bisector of the line segment joining the points A (1, 4) and B (7, -2).

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Q: Show that the points (-2, 9), (4,

Show that the points (-2, 9), (4, 6), (1, 0), and (-5, 3) are the vertices of a square.

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Q: (a). Show that the points A (-1, 3

(a). Show that the points A (-1, 3), B (3, 11), and C (5, 15) are collinear (lie on the same line) by showing that |AB| + |BC| = |AC|. (b). Use slopes to show that A, B, and C are collinear.

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Q: Find the area inside the larger loop and outside the smaller loop

Find the area inside the larger loop and outside the smaller loop of the limaçon r = 1/2 + cos θ.

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