41–44. Tangent lines Find an equation of the line tangent to the following curves at the given point. 41. y = x³ + 2x + 6; (-2, –6) x3 : (2, –2) 42. y = 4 - x 43. Vĩ + Vỹ = a: (4 44. Vĩ + Vỹ = 4; (4, 4) %3D

Q: (8) Given x²/3-y²/3 - y = 3, find ae equation of the tangent line at the point (1,-1).

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Q: 2 QX = X² x + 2

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Q: Find the points on the curve y= (x-1)(x -4) where the tangent line is parallel to y= -4x, O (3, 10)…

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² - y²) at the…

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Q: The equation of the tangent line to the curve at the given point. x² + y2 +3 = (2x+2y + 9x)2, (0, 1)…

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Q: Find an equation of the tangent line to y = f(x) when r = 2. The slope of the tangent line is f'(2)…

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Q: Find the points on the graph where the tangent line to the curve (x2 + y²)² = 10 (x² – y²) + 8 is…

A: The given curve is, x2+y22=10x2-y2+8 The graph of this curve is as follows,

Q: A certain highly mutable gene has a 1.0% chance of mutating each time a cell divides. Suppose that…

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Q: (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent line…

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Q: L. Find the Indicated derivative. 1. y; given r'+y' =8

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Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2.   We have to find the…

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+7 and the point (1, 3) is on…

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Q: Given the function z = I a. Find the directional derivative of z at (2, 6) in the direction making…

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Q: Find an equation of the tangent line for the curve.15 y + (xy + 2) = 0 at the point (3,-1) 3x-7y 16…

A: equation of tangent line at point 3,-1 for graph or curve xy+23+y2=0

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

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