Questions from General Calculus


Q: Find an equation of the plane. The plane that passes

Find an equation of the plane. The plane that passes through the point (3, 1, 4) and contains the line of intersection of the planes x + 2y + 3z = 1 and 2x - y + z = -3

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Q: Find an equation of the plane. The plane that passes

Find an equation of the plane. The plane that passes through the points (0, -2, 5) and (-1, 3, 1) and is perpendicular to the plane 2z = 5x + 4y

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Q: Find an equation of the tangent line to the curve y =

Find an equation of the tangent line to the curve y = x4 + 1 that is parallel to the line 32x – y = 15.

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Q: Find an equation of the plane. The plane that passes

Find an equation of the plane. The plane that passes through the point (1, 5, 1) and is perpendicular to the planes 2x + y - 2z = 2 and x + 3z = 4

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Q: Find an equation of the plane. The plane that passes

Find an equation of the plane. The plane that passes through the line of intersection of the planes x - z = 1 and y + 2z = 3 and is perpendicular to the plane x + y - 2z = 1

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Q: Use intercepts to help sketch the plane. 2x + 5y

Use intercepts to help sketch the plane. 2x + 5y + z = 10

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Q: Use intercepts to help sketch the plane. 3x + y

Use intercepts to help sketch the plane. 3x + y + 2z = 6

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Q: Use intercepts to help sketch the plane. 6x - 3y

Use intercepts to help sketch the plane. 6x - 3y + 4z = 6

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Q: Use intercepts to help sketch the plane. 6x + 5y

Use intercepts to help sketch the plane. 6x + 5y - 3z = 15

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Q: Find the point at which the line intersects the given plane.

Find the point at which the line intersects the given plane. x = 2 - 2t, y = 3t, z = 1 + t; x + 2y – z = 7

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