25. Consider the curve defined by the equation below and a point (2, 1) on the curve. What is the equation of the tangent line at the point (2, 1)? x? - 3y = 1 4х — Зу- 5 %3D 0 4x – 3y + 2 = 0 2х — 3у - 1 %3 0 4х — 3у + 5 %3 0 |

Q: Find an equation of the tangent line to the curve 2(z² + y°)² = 25(æ² – y³) (a lemniscate) at the…

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Q: Find the equations of the tangent and normal line to the following curves at an indicated points:…

A: 1). Given curve is y=2x2-5. To find the equations of the tangent and normal line at point 2,3.…

Q: At what point on the curve y= 1+ 3e* – 3x is the tangent line parallel to the line 2x - y = 5?

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Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

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Q: 8. What is the slope of the line tangent to the curve defined below at the point (1,1)? 1 -1 -2

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Q: What is the equation of the Tangent Line to the curve y = 3 x – 4 x ² at (-2, – 22)? 19 x - y = 60…

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Q: 4. At what point on the graph of y =x2 is the tangent line parallel to the line 2x – 4y = 3?

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Q: Verify that (2,3) is on the curve x²+xy-y²=1 and a. find the line that is tangent to the curve at…

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Q: Find the equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…

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Q: C. Find the slope and the equation of the tangent line to the 21 21 = 3x al 28. y=x²-3x+3 at (3, 3)…

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Q: 4. At what point on the graph of y = ÷x² is the tangent line parallel to the line 2x – 4y = 3? A.…

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Q: , If the curves yı = -x² + ax +b and y2 x² + cx - 2 have the common tangent line at the point P(1,2)…

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Q: 1. y = 2x2-5 at ( 2, 3) %3D

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Q: Find an equation of the tangent line to the curve at the given polnt. y = 4x² – x², (1, 3)…

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Q: The equation of the tangent line to the curve x² + y? = 25, at (8,-12) is 12 O y = ++ 8) – 12 8 8 O…

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Q: The equation of the tangent line to the curve z +y = 36, at (2,-19) is 19 y 3= (х — 2) - 19 19 19 y…

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Q: Find the equation of the tangent line to the curve at the given point. y = /2x +1, (4, 3)

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Q: 4. Find the equation to the tangent line to the curve -3 %3D at the point (x, y) = (1,2).

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Q: The equation of the tangent line to the curve +y =64, at (6,-12) is 12 y=D (-6)+12 6. 6. 12 -6) – 12…

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Q: 12. What is the equation of the tangent line to the curve y = x² – 2x + 1 at point (3,4)? a. у%3D 2х…

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Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

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Q: identify the equation of the curve that passes through the point (0, 1) and who tangent line has…

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Q: Find an equation of the tangent to the curve at the given point. (1) X²+4xy-y²-4x=1, (1,2) (2)…

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Q: 1 - Find the equation of the tangent line to the curve y = 3 5 x2 +6x 2 11 at its point of…

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Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

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Q: Find an equation of the tangent line to the curve y = 3 arccos (1,4 π). Select the correct answer.…

A: Find an equation of the tangent line to the curve y= 3cos-1(x/2) at the point (1,4π) .

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A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

Q: The equation of the tangent line to the curve x2 + y? = 25, at (8,-12) is. %3D 8. (x +8) + 12 12 y =…

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

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Q: 29. Which of following is the equation of the tangent line to the curve y = 2x - x² at the point (…

A: I am attaching image so that you understand each and every step.

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Q: 15.)) What is the slope of the line tangent to the curve y +2 = - 2sin y at the point (2, 0)? 2 (A)…

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Q: At what point on the graph of y = (x^2)/2 is the tangent line parallel to the line 2x - 4y = 3? O…

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Q: The equation of the tangent line to the curve x2 + y? = 64, at (5,-13) is. 13 (x – 5) + 13 y = y =…

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Q: The equation of the tangent line to the curve r +ỷ = 64, at (5,-13) is (+5) + 13 13 y = 5 (т - 5) -…

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Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 – x³, (1, 6) y =…

A: Given that the equation of the curve is            y = 7x2 - x3

Q: 12)What is the slope at (1,2) for curve define by xy^2=4?

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Q: 2. Find the slope of the tangent line to the curves: (a) xy + y³ = 12 at the point (2, 2), (b) 3x4/3…

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Q: B. find the slope of the tangent to the curve at the given point 1. y= x-6, (1, - 2) 2. y = 3x -5x.…

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Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.