Problem 4 A Calculate the equation of the tangent line to the curve 2x3 + xy +3x+ y = 2 at the point Г0, 2).

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: 1. Find the equation of the tangent and the normal line for the equation at the given point below: y…

A: Given, y=x3-6x+2 at the point (2,-2)

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

A: Given, y=2x+1x+2Point=1, 1

Q: Problem 3.4 Find the points on the curve y = 2x3 + 3x2 – 12x +1 where the tangent is horizontal.

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 – x2 + 2, (2, 22) y =

A: Given curve and points are: y=3x3-x2+2  , 2,22

Q: 1. Find the equations of tangent and normal lines to the curve whose equation y? – 6x? + 4y + 19 = 0…

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

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Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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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 to the curve defined implicitly by the equation 5ey-1 = 6 – xy…

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Q: Find an equation of the tangent line to the curve at the given point. y = 5x/(x+4),    (1, 1)

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

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Q: The equation of the tangent line to the curve y at the point (2, 5. written in point-slope form is:

A: find equation of tangent line

Q: Find the equation of the tangent line at the given point on curve. x2y2 = 81,   (-1, 9)

A: Given function is  x2y2 = 81 Equation of tangent line is given by, y-y1=mx-x1

Q: Question 3: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-;,4). Question 4

A: To find  The equation of a tangent plane at the given point.

Q: Find an equation of the tangent line at the given point. (x + 2)2 − 6(2y + 3)2 = 3, (1,−1)

A: Consider (x + 2)2 − 6(2y + 3)2 = 3, (1,−1)

Q: Find an equation of the tangent line to the given curve at the specified point. 5x y = X + 3' (2, 2)…

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Q: Find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: We first find dy/dx at x=2, y=1

Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: Find an equation of the tangent line at the point P = (l, 1) on the curve in Figure with equation

A: Given figure is  where equation of curve is  y4+xy=x3-x+2

Q: 3 at the point 6, 2 The slope of the tangent line to the curve y |3| is: The equation of this…

A: Derivative y with respect to x and then substitute the given point to find the slope.

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 the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

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Q: Find the equation of the tangent line at the point (1,−1) to the curve defined implicitly below. x6…

A: Given equation of curve x6 + y2 = 2let the tangent line be y = mx+c where m is the dy/dx and c is…

Q: Find the equation of the tangent line at the point (1,−3) to the curve defined implicitly below. x3…

A: The line is tangent to the given hyperbola at (1,-3).Tangent line is a straight line.Therefore, the…

Q: find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: Our Aim is to find an equation of the tangent line of the given pointxy+x2y2=6 -(i) at…

Q: Find an equation of the tangent line to the curve at the given point y = x³ – 3x + 1, (2,3)

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

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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 the equations of the tangent line normal to the curve of the given point (0,2) y=(2+x)e^-x

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Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 3x)1, (0, 1)

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

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

Q: An equation of the tangent line to the curve C at the point (1, 2) is

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Q: Find the equation of the tangent line to the curve y3 + 4.xy = 9 at point (2, 1).

A: Recall: Point-slope intercept form :         (y-y1)=m(x-x1); where , m=y'(x) and (x1,y1) be the…

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

A: Given curve, y=5xx+3 we have to find the equation of tangent line to the given curve at point (2,2).…

Q: Problem 6. Find the equation of the tangent line to the curve x²y-ay² = -6 when z = 2.

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Q: Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

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Q: Find an equation of the tangent line to the graph at the given point. x2y2 − 9x2 − 4y2 = 0,…

A: Given that, x2y2 - 9x2 - 4y2 = 0 Points are :  (-4, 23) We have to find the tangant line to the…

Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 6x + 1, (4, 9) y =

A: First find slope at given value then equation of tangent line

Q: 1. Find the equations of tangent and normal lines to the curve whose equation y2 – 6x2 + 4y + 19 = 0…

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Q: Find an equation of the tangent line to the given curve at the specified point. y = (4x)/(x+4)  (4,…

A: To find the equation of the tangent line to the given curve at the specified point, Differentiate…

Q: (a) Find the equation of the tangent plane to the graph of : = (1,-1,5). + ) +4 at

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Q: 1. Find the equation of the tangent line to the curve defined by the equation In(xy) + 2x – y + 1 =…

A: Given: lnxy+2x-y+1=0 for finding equation of tangent at point12,2, we need to find slopem of tangent…

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 an equation of the tangent line to the curve at the given point. у %3 бех + х, (0, 6)

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Q: Find an equation of the tangent line to the curve at the given point y = x3 - 2x + 2, (2,6) y =

A: From the given data:

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

A: We find dy/dx at (2,4)

Q: Find an equation of the tangent line at the given point. 2x1/2 + 4y −1/2 = xy, (1, 4)

A: Given,

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…