Find an equation of the tangent line to the curve 2(z² + )? = 25(z² - y) (a lemniscate) at the point (3,-1). An equation of the tangent line to the lemniscate at the given point is

Q: Find an equation of the tangent line to the curve y = 2x +3 that is parallel to the line 8x y+3 = 0.

A: Find an equation of tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0

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: 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: Find the equation of the tangent line to the curve y = √-4 at the point (5,1). Oy=-1 Oy=-1 Oy=2x-2

A: Given y=x-4       point (5,1)To find equation of tangent line:

Q: Find the equation of the tangent line to the curve y = x* + 3e" at the point (0, 3). y =

A: Equation of tangent to a function fx at point a,b is defined as y-b = m x-a where m is the slope of…

Q: Find an equation of the tangent line to the curve y=2x^2+3 that is parallel to the line 8x-y+3=0

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Q: Find an equation of the tangent line to the curve: 4x^2 - 24xe^y + y = 13 @ the point (-1/2, 0).

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Q: Find an equation of the tangent line to the curve x2y² – 2x = 9-y at the point (-2, 1)

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Q: Find the slope of the tangent line to the curve g²y -y = 6 at the point (1, 3). -18/5 0. -3 18 -5/18

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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 at the given point on the curve. 3y² - Vx = 44, (16,4)

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Q: Find the equation of the tangent line to the curve at the given point. y: (6, 1)

A: Recall: Point - slope form : y-y1= m x-x1 ; where , 'm' is the slope and x1,y1 are the given…

Q: Find the slope of the tangent line to the curve 3 - 2x² + xy + y² I at the point (4, 1). - 27

A: This question is related to slope of line, we will solve it using given information.

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 an equation of the form y = f(r) for a curve with z-intercept 2 whose tangent line at any point…

A: we have to find an equation of the form y=f(x) for a curve with x-intercept 2 whose tangent line at…

Q: Find an equation of the tangent line at the point specified. y = excos2 x, x = π/4

A: Given curve is y=excos2x. To find the equation of the tangent line at the point x=π4. Solution: The…

Q: Find the equation of the tangent line to the curve y = IVa at the point (16, 64). %3D y =

A: The standard form of the tangent line helps to find the required equation of the line. The standard…

Q: Find the equation of the tangent line to the curve at the given point. y = 9x - 8Vx, (1, 1) %3D

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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: 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 an equation of the tangent line to the curve at the following point:  y=4/1+e^-x, (0,2) y=?

A: We first find the slope of the tangent using the first derivative y=41+e-xy=4(1+e-x)-1…

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

A: To find the tangent at the given point on the curve, using derivatives

Q: Find an equation of the tangent line to the curve at the given point. y = 9e* + x, (0, 9) y =

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Q: Find the slope of the tangent line to the curve V6x + 5y + V8xy = 20 at the point (9, 2). The slope…

A: Please refer the attached image for complete solution.

Q: Find the equation of the tangent line to the curve x4+y4=2 at the point (1,1)

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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: Find the equation of the tangent line and normal line to the curve: 2. x2 + 2xy = y3 at the point…

A: Firstly, we find  dy/dx by differentiating both sides with respect to x

Q: Find the slope of the tangent line to the curve V3x+y+v2ry = Vi+v4 at the point (2, 1). The slope is

A: To find the slope we need dy/dx

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

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Q: Determine the equation of the tangent line to the curve x- 2xy = 2y² +1 at the point (1:0).

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Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 1 that is parallel to the line 8x -…

A: Given: the curve y=2x2+1 and the line is parallel to 8x-y+3=0 The equation of line tangent to the…

Q: Find the equation of the tangent line to the curve y = 2 In(x - 26) at the point (3,0). %3D y =

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Q: 3 at the point ( 6, (0.) The slope of the tangent line to the curve y = is:

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Q: Find the slope of the tangent line to the curve -3x2 +3xy- 4y = - 247 %3D at the point (1, 4).

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Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x − x³, (1, 2) y…

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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 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 = 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: Find an equation of the tangent line to the curve at the given point. y = 4*, (0, 1)

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Q: Find an equation of the tangent line to the curve xe + ye* = 2 at the point (0, 2).

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Q: Find the equation of the tangent line to the curve y=x-6cos(x) at the point (0,-6)

A: We have to find equation of tangent line to the curve y=x-6cos(x) at the point (0,-6)  Now first we…

Q: Find the equation of the tangent line to the curve y= x4 + 6ex at the point (0,6). Enter exact…

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

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Q: Find the slope of the tangent line to the curve given by y^4 = y^2 - x^2 at the point (0,1)

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Q: Find the equation of the tangent line to the curve y = x* + 6e* at the point (0, 6). y =

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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: The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2 is called a cardioid. Find the equation of…

A: consider the given equation, x2+y2=2x2+2y2-x2 Use implicit differentiation method and differentiate…