4.For the 2 curves xy = 8 and x2 = 64y, find the angle between the two tangent lines at the !! %3D point of intersection

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: Find the slope of the tangent line to the curve 4x + 4cy- 4y° 276 at the point (- 1,4).

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Q: y=csinx  Identify the curves that intersect the curves under a right angle.

A: Given- y = c sinx To find- Identify the curves that intersect the curves under a right angle.

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 points where the tangent line to the curve y = 3x² - x³ is horizontal. Select one or more:…

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Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

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Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

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 between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: 3x + xy? 2y + x?y dy dx

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Q: Calculate the distance between the points S=(-3,-7) and M=(2,-1)

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Q: Find the distance between the line x + y + 2 = 0 and the point (1, 1).

A: The distance between the line ax+by+c=0 and the point x1,y1 is given as below. d=ax1+by1+ca2+b2

Q: The curve with equation 2y3 + y? – y³ = x4 – 2x³ + x² has been likened to a bouncing wagon: 3 2 1 -3…

A: Condition for horizontal tangents: dydx=0