Find an equation of the tangent line to the parabola y = x2 -1 at the point (2,3) y 4x-5 Oy - 4x - 9 Oy= 2x - 3

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 curvey = √2-4 at the point (5, 1). Oy=2-1 Oy= 22-2 Ov=z…

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Q: Find the equation of the tangent line to the curve y= (1+2x)2 at the point (2, 25). y = %3D

A: This question is based on application of Derivative.

Q: Find the parabola y= ax2+bx+c that passes through (2,1) and be tangent to the line y=2x + 4 at (1,6)

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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 an equation for the tangent to the 6x at the point (1, 3). x2 + 1 curve y =

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Q: Find the equation of the tangent line to the curve 3y + 2x² = x²y² + 7 at (2, 1) .

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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 equations of all tangent lines to the curve x² + 4y2 = 8 that pass through the %3D point…

A: The curve x2+4y2=8 that pass through the point (-4, 0). We have to find the equation of all tangent…

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 an equation of the tangent line to the curve at the given point. у %3D sec(x), (л/3, 2) 2nv3 y…

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Q: Find the equation of the tangent to y = 1 + 2x + 3x*4 at the point with x -coordinate 1

A: Find the derivative of y = 1 + 2x + 3x4                                y' = 2 = 12x3

Q: Find the equation of the tangent line  x2y-y3 + 6x= 8  at the (3, -2)

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Q: Find an equation of the line tangent to the curve defined by x + 3xy+ y = 5 at the point (1, 1).

A: Given  Curve ia x3 + 3xy + y2 =5 at the point(1,1) Find equation of tangent.

Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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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: Find the parabola with equation y= ax2 +bx whose tangentline at (1, 1) has equation  y= 3x -2.

A: We have to find equation of parabola y=ax2+bx which has tangent y=3x-2 at 1,1 .

Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

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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: Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y-2y³ In the…

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Q: Find the equation of the tangent line at the given point on the curve. 2y- Vx 28, (16,4) y=D

A: 2y2-x=28,    16, 4. Slope of the tangent line is the derivative of the given function at the given…

Q: Find the parabola with equation  y = ax2 + bx  whose tangent line at  (1, −1)  has equation  y =…

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Q: Find the equation of line tangent of y=x4-2x2+1 at (2,9)

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Q: Find point on the ellipse x^2+2y^2=1  where the tangent line has a slope of 1.

A: We know, slope of tangent line = dydx

Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

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 plane to the graph of f(x, y) = In(4x² – 2y2) at the point (1, 1).

A: To Determine: FInd the equation of tangent plane to the graph of…

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

A: Given: y=2x+1x+2, 1,1 for finding equation of tangent, we need to find slope of tangent  we know…

Q: Find an equation of the tangent line at the point indicated. x3y + y3x = 10; (1,2)

A: Given query is to find the equation of the tangent line at (1,2).

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 an equation of the tangent line to the parabola y = x - 8x + 9 at the point (1, 2).

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Q: Find an equation of the parabola y = ax2 + bx + c that passes through (0,1) and is tangent to the…

A: Since, the parabola passes through (0,1) ,so,we substitute x=0, y=1 ,to get c=1

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 slope of the tangent to a parabola y=x^3 at a point on the curve where x=2

A: Consider the following equation:

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

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Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

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Q: Find the slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

A: Simply take the derivative of the given equation and substitute the given point.

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: 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 the parabola with equation y = ax + bx whose tangent line at (1, 1) has equation y = 5x - 4.

A: ven parabola , y =ax2+bxtangent ,           y = 5x-4comparing with y = mx+c , slope of tangent m = 5

Q: Find an equation of the tangent line to the parabola y=x2  at the point P(1,1)

A: To find an equation of the tangent line to the parabola y=x2 at the point P1,1

Q: Find the equation of the tangent line to the curve y= 3x^2 - 2 passing through the point P(-1,1) .

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Q: 5. Find the equation of the tangent line to the curve y = x2 - 3x at the place where the parabola…

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Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

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

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Q: At what point of the parabola y=x -3x+5 is the tangent line parallel to the line 3x-y 2?

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Q: Find the equation of the tangent plane to z=6x2+2y2  at the point (1,5)

A: Given  z = 6x2+2y2  at the point (1,5)

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

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