01/03/25

Sketch x^2 +4y^2 + 6x -8y +9 = 0.
Since the x squared and the y squared terms are both positive we know that this is the equation of an ellipse. We will need to complete the square on both the x and y terms. This will let us... more
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12/14/23

The radius of a sphere is increasing at a rate of 5 meters per hour. When the radius is 12 meters, then how fast is the VOLUME changing?
The radius of a sphere is increasing at a rate of 5 meters per hour. When the radius is 12 meters, then how fast is the VOLUME changing?Note: Volume of a sphere = (4/3) ⋅ π ⋅ (radius)3The rate of... more
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12/07/23

A boat is being pulled toward a dock by a rope from the bow through a ring on a dock ...
A boat is being pulled toward a dock by a rope from the bow through a ring on a dock 12 ft above the bow. the rope is haled at a rate of 3 ft/sec.a) how fast is the boat approaching the dock when... more
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11/23/14

given a rectangle with side lengths of 2 u. and 4 u....
given a rectangle with side lengths of 2 u. and 4 u. Regular triangles are formed one of who vertices coincides with the midpoint of one of the longer sides of the rectangle, the other two lying on... more
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