Determine the equation of the line tangent to the graph of y = x° + 2x at the point (1, 3).

Q: Find the equation of the line tangent to the curve xy^3+xy=6 at the point (3,1). When the equation…

A: Firstly, we will find derivative And then we can solve for y'and we get

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

A:

Q: Find an equation of the line tangent to the graph of y = exat x = 0.

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Q: Find the equation of the line tangent to the curve y = ex/x at x=1

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Q: Find the equation of the tangent to the curve y= (5 – 6x)* at the point (1,1).

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Q: find the slope of the line tangent to the curve x2=y2+3/2xy at (4,2)

A:

Q: Find the equation of the tangent line to the graph of y = 2x +- at the point (1,5).

A: We have given

Q: Find an equation of the line tangent to the curve defined by x2 + 6xy + y 32 at the point (2, 2).…

A: v

Q: Find an equation for the line perpendicular to the tangent line to the curve y = x3 - 4x + 1 at the…

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Q: Find an equation of the tangent line to the curve y= (1+2x)^10  , (0,1)

A: First find the derivative of the curve at given point than write the slope intercept form of…

Q: Find the slope of the tangent line to the curve – 2a2 + xy + 4y³ = - 6 3 at the point (- 2, 1).

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Q: Find the equation of the line tangent to the graph defined by the equation at the point (2,0).…

A: Given equation of curve ,xey-y=2 -1

Q: Find an equation of the line tangent to the curve y = e at (0,1). 2x

A: We need to find the equation of tangent to the curve: y=e2x  at (0, 1) This can be done as follows:

Q: Find the equation of the tangent line to the curve y=x^4+2e^x at the point (0,2).

A: Consider the given curve y=x^4+2e^x

Q: Find the equation of the tangent line.

A: Consider the given equation of curve:

Q: Determine the equation of the tangent to the curve y = x+2 x = -1.

A: Here we have to determine the equation of the tangent line to the curve y=x3-1x+22 at the point…

Q: Find the equation of a line tangential to the curve y = 2x² + 7x + 9 at P(1,18).

A:

Q: Find the equation of the tangent line to x + y = 9 %3D at the point (2, v5)

A: Equation of tangent to any curve y = f(x) at a given point ( x1, y1 ) is given by           ( y - y1…

Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Find an equation for the line that is tangent to the curve y = 3x-3x at the point (1,0).

A: y = 3x3 - 3x P= ( x1 , y1 ) = ( 1,0 )

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

A: Explanation: Given that,  y=2x3-3x2-10x+1     Concept Used: 1. Slope of the tangent is the first…

Q: Find an equation of the tangent line to the curve x2+y+y2=13 at the point (-1,3)

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Q: Find an equation for the line tangent to given curve y = -10z2-3 4r+1 3 at x = 0-

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Q: Find an equation of the tangent line to the curve y = 9" at the point (1, 10).

A:

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

A: To find the slope, we find dy/dx at (4, 3) At (4, 3):

Q: Find an equation of the line tangent to y = xsin x at the point x = 1.

A: The given equation is y=xsinx.

Q: Find the equation of the line tangent to y = x2 - 1 going through x = 1

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Q: Determine the equation of the line tangent to the curve   at the point (-1,1) and reestablish a…

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Q: Find the equation of the tangent of the curve y=x^3+(3x)^(-1) at point (1,4)

A:

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

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the…

Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

A:

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

A: We have to find the equation of the tangent to the curve y=x2-x-2 at the point (1,-2).

Q: Find an equation of the tangent line to the curve x^(2/3)+y^(2/3)=13 at the point (−27,−8).

A: Given:

Q: Find the equation of the tangent line to the curve y = x2 – 5 if the tangent line is parallel to the…

A: y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

Q: Find an equation of the tangent line to the curve y=x(x1/2) that is parallel to the line y=6+3x

A: y=6+3xBy comparing with y=mx+b, m=3Slope of a line parallel to to y=6+3x is  3

Q: Find the equation of the line tangent to x^2 + y^2 - 6x + 2y = 0 at (0,0)

A: Implicit Differentiation In implicit differentiation, when we differentiate y, we use y' or dy/dx…

Q: Find the equation of the line that is tangent to the curve y =-3e* at x = In 2. %3D

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Q: Find the equation of a line normal to the curve x^2=16y at (4,2).

A: Solve the given problem.

Q: Determine an equation of the line tangent to the curve Y = 10 at the point with x- coordinate 1.…

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Q: . Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x – y…

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Q: Find the equation of the line tangent to xe' + ye = 1 at the point (0, 1).

A:

Q: Find the equation of the line tangent to the curve xy3+xy=20 at the point (10,1). When the equation…

A: It is given that, the equation of the curve is xy3 + xy  = 20. Use implicit differentiation to…

Q: Find an equation of the tangent line to the curve y=3ex that is parallel to x-4y=1.

A: Given:Equation of a curve

Q: Find

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Q: Find the equation of the line normal to the curve 2x^2-3xy+y-18=0 at (3,0).

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Q: Find the equation of the line tangent to the curve 2(z² + y°)* = 25(z² – y²) at the point (3, 1).…

A: Suppose a line passing through with slope  m then equation of line is .

Q: Find the equation of the tangent to the curve y = (x – 2)Vx² + 16 at x = 3.

A: