Find the points of point and angle of intersection of the given curve and tangent line y = x3 - 2x2 + 4 and 4x - y = 4.

Q: What is the slope of the curve at (3, 4)?

A: we have to find the slope of the curve at (3,4). from the graph we can see that the point of…

Q: A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of…

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Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

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Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: Find the distance between point (5,-1) and line x=3y-12.

A: Given: The point (5, -1) and the line  x = 3y -12. To find: The distance between the given point and…

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

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Q: Find the distance between the point (2, 9) and the line y = 3x + 4

A: Find the distance between the point (2, 9) and the line y = 3x + 4 To find the distance between a…