Consider the curve parameterized by x = 2t³ - 33t² + 180t and y = 2t³ + 33t² + 180t. At what points (x, y) is the tangent line to the curve horizontal? Enter your answer as a list of ordered pairs, separated by commas. At what points (x, y) is the tangent line to the curve vertical? Enter your answer as a list of ordered pairs, separated by commas.

Q: Find the midpoint of PQ.  P( -6, 7) and Q( 3, 1)

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Q: Find the coordinates of the point which divides the line segment connecting (-1,4) and (2,-3) into…

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Q: The point R (a, -1) is the midpoint of the line segment joining the points P (-2, b) and Q (-7, 4)…

A: Here midpoint of two point joining a line  given and we have to find a,b

Q: Calculate ?a so that the line y=3x+a travels accross the point (3,10). Give the answer in its exact…

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Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

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Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: Find the distance of the point P to the line l, where l: 3x+4y=12 P:(2,-6)

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Q: Find the angle between the following straight line y=4-2x,y=3x+7

A: To find the angle

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Find the distance from the Point P ( 31) and

A: The equation of the line is: y = x + 4 That is, x - y + 4 = 0 The point is (3, 1). We have to find…

Q: Plot the following points: A (3,-3) B (4,2) Determine the Distance AC. C (-1,2) D

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Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find th…

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Q: Find the distance between the following two points: (10, 1) and (9, -4)

A: Given Find distance between (10,1) and (9,-4)

Q: nd the midpoint M of the line segment joining the points P = (-2, 8) and Q = (-6, -4). M = OD %3D

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Q: Parker threw a ball from a window whose location is at (13, 5). The ball touched the ground and…

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