a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point. 6x2 + xy + y2 = 27; (2,1)

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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A: Here is the solution of the given problem.

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A: As per our guidelines we can solve only first question. Please repost the other questions that need…

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Slope = dy/dx

Q: Determine the parameter equation of the following curve x2 + y2= 5

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A: Given Data : Equation of Curve x2y+y3=5 To Find: Equation of line tangent to the curve at 12,12 The…

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0,…

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Q: Find the equation of the line tangent to the curve a = 3t2 +8, y= 8t +3 at t = 2 Answer:

A: The solution is given as follows :

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A: given  y=ax3+bx2+12x-7a=?b=?

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Q: The equation of the curve is y? = x' + 8x. Find the x-coordinates where tangent lines are vertical.

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A: Given: xy+2x-5y=2; 3,2 for finding equation of tangent, we need to find slopem1 of tangent  we know…

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: For the curve y= ax + bx? + 12x - 7, what values of a and b will make the tangents to the curve at…

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