1) Write the tangent equation to the curve x? + 2xy - y² + x = 2, , at x = 1.

Q: Find the equation of the tangent line to the curve at the given point. y = 5x – 2x, (1, 3) y =

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Q: Find the equation of the tangent line to the curve at the point (-1,-3) x³y² = - 2xy-3

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Q: Determine the equation of tangent line to the curve of the equation 3xy^2-x^2y=5x-3 at (1,1)

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Q: Write the equation of the tangent line of the given equation through the given 3 point y = x° – 3x +…

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Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ….

A: The tangent line equation of 2x6+y4=9xy

Q: Find the equation of the tangent line to the curve at (0,1). 2x y = e* cos IX Express equation in…

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Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line x y - 9 = 0? NOTE:…

A: To find the point on the curve y3=6x2 where the tangent line is perpendicular to the line x-y-9=0 .…

Q: Determine the equation of the tangent line to the curve y = (2x2 - 3x)3 at x = 2.

A: To find the equation of the tangent line

Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

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

A: See the attachment

Q: define the equation of the tangent line to the curve x^2-3xy+y^2-4x+2y+1=0 at the point (1,-1)

A: Given- The curve is x2-3xy+y2-4x+2y+1=0. To Find- The equation of the tangent line to the above…

Q: At what point is the tangent line to the curve y3=2x2 perpendicular to the line x+2y-2=0? P= (?,?)

A: We have to find the point

Q: Write the equation of the tangent line of the given equation through the point * y = x3 – 3x2 + 2 at…

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Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

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Q: Find the tangent equation to the curve y = sin² x at point x = 3.

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Q: Find the equation of the tangent line to the curve y sin(2x) = x cos(2y) at the point (5,).

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Q: The slope of the tangent line to the parabola y 4x + 7x + 5 at the point (0, 5) is: The equation of…

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Q: Find an equation of the tangent line to the curve at the point (1, y = x4e-x

A: Given that      y = x4e-x We have to find an equation of the tangent line to the curve at the point…

Q: Find the equation of the tangent line to the curve y=(x-2) (x+1)? at point (3, 16).

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Q: Find the equation of the tangent line at the given point on the curve. 3y - Vx = 23, (16,3) y =

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Q: Find the equation (in terms of x and y) of the tangent line to the curve r=4sin2θ at θ=π/3. y=?

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Q: 9. Find the equation of the tangent line at point (2,2) on the curve fx) = x²- 7x + 12.

A: To find the equation of the tangent line

Q: Find the equation of the tangent line at the given point on curve. x2 + y2 = 25; (-3, 4)

A: Given: x2 + y2 = 25; (-3, 4)

Q: Find an equation of the tangent line to the curve y=9^(tan(9x)) at the point (0,1)

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Q: Find an equation of the tangent line to the curve at the giv y = In(x2 - 3x + 1), (3, 0) y =

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Q: What is the equation of the tangent line to the curve x? + 2y² = 4 at point (1, 1)?

A: Find your answer below

Q: Find the equation of the tangent line to the curve y=x4 at the point (−1,1).

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Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: Find an equation of the tangent line to the curve at thegiven point.

A: To Determine: Find an equation of the tangent line to the curve at thegiven point.…

Q: Find the equation of the tangent line at the given point: 5x² – 2xy + y² = 13 at (1, -2)

A: Given,                            .......(1) Point (1,-2)

Q: *(1,). What is the equation of the line that is tangent to the graph of y = at (x³ + 1)?

A: We can find the equation of line as below.

Q: The equation of the tangent line to the curve x² + y² = 64, at (9,-14) is

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Q: Find the equation of the tangent line to the curve y = 2x - x2 at (2, 0).

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Q: Find the equation of the tangent line to the curve y=2x2-1 at x=2

A: .

Q: Find the equation of the tangent line to the curve y = 4x − 3x 2 at the point (2, -4)

A: The equation of the curve is y = 4x − 3x2 The coordinates of the point of contact is 2, -4

Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

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

Q: The slope of the tangent to the curve yx + y²x² -6 at (2,1) is

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Q: Find the equation of the tangent line to the curve y = In(x³ – 63) at the point (4, 0). Tangent Line…

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Q: Write the equation of the tangent line to the curve y = x + 6x - 3 at (1,4).

A: Given,           The curve is y=x2+6x-3 and the point is 1,4.To find: The equation of the tangent…

Q: Find the equation of the tangent line at the point (1,0) to the curve implicitly defined by In(x +…

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Q: Which is the equation of the tangent line to the curve x* +xy = 4 + y at the point (4,6)?

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

A: To determine the equation of the tangent line.

Q: Find the equation of the tangent line to the curve CULUE yt + In (x²+y) = 5x -1 point (2,-3) at the

A: Given: y2+lnx2+y=5x-1 for finding equation of tangent, we need to find slopem of the tangent we know…

Q: Find the equation of the tangent line to the curve y = In(x³ – 26) at the point (3, 0). Tangent Line…

A: The solution is as follows:

Q: Determine the slope of the tangent line to the curve (x² + y² – 2x)² = 2(x² + y²) at (2, 2).

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Q: . Find the equation of the tangent line to the curve y =1 – 2x + x² at (1, 2).

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Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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Q: Find the equation of the tangent line to the curve g(x) = 3x² – 8x + 2 at the point (1, -3).

A: The equation of the curve and the point is given as,

Q: What is the slope of the tangent line to the curve 3y- 2-6-2xy at the point (3, 2)?

A: Given,           3y2-2x2=6-2xy     To find slope, let's differentiate. wrt.x           3.2y…