Find the equation of the tangent line and normal line to the curve: 2. x2 + 2xy = y3 at the point (1,-1)

Q: Find the equation of tangent and normal to the curve y= 3x2 - 4x+5 at (– 1, 12)

A: Given the equation y=3x2−4x+5

Q: . Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

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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 the equation to the tangent line of the curve y =x' +e' at x=0

A: We need to find the equation to the tangent line of the curve y=x3+ex at x=0. When x=0, y=1. Now,…

Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: Find an equation of the form y = f(x) for a curve with æ-intercept 0 whose tangent line at any point…

A: We have to find

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

A: Now slope of the tangent line is the derivative of the given curve. So differentiating given curve…

Q: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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Q: Find the equation of the tangent and the normal to the curve y=5x4 at the point (1,5)

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Q: find the equation of the tangent line and normal line to the ff. curves at the indicated point.

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Q: Find the equation of the line normal to the tangent at the point (1,2) x’y+xy² = 6. on the curve

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Q: Calculate the equation of the tangent line to the curve r2 +ry+3r+2y-1 = 1 at the point (0, 1).

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = -,; x = 3 X-2…

A: Given that fx=7x-2 Evaluate fx=7x-2 at x = 3.     fx=73-2f(x)=7 That is y1=7 Find the derivative:…

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(x² + y²)° = 25(a² – y²) at the…

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Q: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

A: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

Q: What is the slope of the tangent line to y = 4x at x = 0?

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Q: Find the equation to the tangent line to the curve y = 3+x where x = 0. 4+ex

A: We have to find the equation for tangent line to the curve given.

Q: Find the point on the curve y=x√x for which the tangent line to the curve is perpendicular to the…

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Q: Find the equation of the tangent line to the curve y x at the point 1, 4

A: We can find the equation of tangent line to the curve as below

Q: Find the slope of the tangent line to the curve - 42? – zy + y - 4 at the point (– 2, 2).

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Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: Find an equation of the tangent line to the curve at thegiven point.   y = ex   / x  , (1, e)

A: Given: y=exx,1,e. for finding tangent at given point we need slope of tangent at that point  so,…

Q: What is the slope of the tangent line to the graph y = a° – 3x, | at the point (x1, Y1)?

A: Our Aim is to find the slope of the tangent line to the graph y=x3-3x -(i)at the point (x1,y1),

Q: Find the slope of the tangent line to the curve 2x? + 3xy + 2y° = 25 at the point (– 3, – 1). - -

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Q: Find the equation of the tangent line to the curve y = ex/x + ex at (0, 1).

A: Given that curve  y = exx+ex at (0, 1). The slope of tangent any point on the curve is given by its…

Q: Find the equation of the tangent line to r - 3ry + y =-1 at (2,1).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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 the equation of tangent and equation of normal to the 1 |curve, (Зк -1)° – 3xy=5 – 8y³ at the…

A: As a first step we need to find the slope of the curve i.e. dy/dx at the given point (1,1)…

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

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Q: Find the equation of the tangent line and normal line to the curve r+4.ry +y = 13 at (2,1). %3D

A: Let's find.

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

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Q: Find the equation of the tangent line to the curve y=lnx2 that is parallel to the straight line y=x.

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

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Q: Find the x-coordinates at which the tangent line to y= is horizontal

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Q: Find the slope of the tangent line to the curve - 2x2 + 2xy – 4y³ = 0 at the point (1, – 1). -

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Q: Determine the equations of the tangent and normal to the curve y=2xex at (0,0)

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Q: Find the slope of the tangent line to the curve (r² + y² – 1)3 – r²y³ = 0 at the point (–1,1).

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Q: Find the slope of the tangent line to the curve x + xy – y = 23 at the point ( – 3, – 2). -

A: The given function is x2+xy-y3=23 The point is x0,y0=-3,-2

Q: Find an equation of the tangent line to the curve y=x√xthat is parallel to the line y= 1 +3x

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Q: Find the equation of tangent and normal for the curve xsin2y = ycos2x at ,

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Q: estimate the slope of the tangent line to the curve at the given point (x,y)

A: Given that, line is the tangent line (pink) to the curve. We need to find the slope of the tangent…

Q: Determine the Cartesian equation of the tangent line to C1 at the point where θ = π/2 .

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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 tangent line with values g(x)= squareroot x and f(x)= x2

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Q: Estimate the slope of the tangent line to curve at the given point(x,y)

A: The given graph of the curve and its tangent line is:

Q: Find the equation of the normal to the tangent line for the equation x'y+ xy² +x² + y² = 0 at the…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find the slope of the tangent line to the curve y = 1/√,x at the point where x = 4.

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Q: the slope of the tangent line to y= f(x) at x=c is ?

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Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

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