Find the equation of the tangent to the curve x² +3y² = 6y at the point (1, ½)

Q: Find the equation of the tangent line to y = 4cos(3x) at x =

A: We have to find the equation of tangent line

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

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Q: Find the equation of the tangent line to the curve (y-2)² = 4x +5 at P(1,5).

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

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Q: Find the slope of the tangent to the curve x2 + 8xy + y = 10| at (1, 1)|

A: The equation of the given curve, x2+8xy+y2=10

Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).

A: The equation of the curve is given by x2+3xy+y2 = 5                           .......1 The point is…

Q: At what point on the curve y = V-8 + 2x is the tangent line perpendicular to the line 8x + 4y = 1?

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Q: Find the equation of the tangent to the curve xy2 + y³ = 6x + 3y at (1,2)

A: The curve is given as x y2 + y3 = 6x + 3y, the objective is to find the equation of tangent line at…

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: 5. Find the equation of the tangent line on x² + y? = (2x² + 2y² – x)² at (0, ).

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Q: Find all the points on the curve x² y² + 2xy = 3 where the slope of the tangent is -1. O (1,1) O…

A: We have find possible point where the slope of the tangent is -1

Q: Find the equation of the tangent line on the curve x2 + y2 + 2y=0 at (0, – 2). A y= - 2 B) y= - x…

A: In this question we have to find the equation of the tangent line on the given curve.

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 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 an equation of the tangent line at a point (0, 0) on the curve x =t- 100, y = t2– 10t.

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Q: Find the slope of the tangent line to the curve ((8x+9y)^(1/2))+((2xy)^(1/2))=7 at the point (2,1)

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Q: Find the slope of the tangent to the curve y at (2, 1) xy + 6

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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 slope of the tangent line to the curve 2.2 2xy - 3y = 89 at the point (1, 3).

A: Given curve,

Q: Find the equation of the tangent line to the curve y=1-x² that is parallel to the line 2x-4y=8

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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 the equation of the tangent line to the curve x=t2−2t, y=t2+2t at the point t=2.

A: Given equation of curve is Now,

Q: Find the equation of the tangent line to the curve x2 + 4y2 = 8 and parallel to the line x+2y=8.

A: Given curve is x2+4y2=8. To find equation of tangent line to the given curve which is parallel to…

Q: ind the slope of the tangent line to the curve y = V4x – 3 at the point (13, 7).

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Q: Find an equation of the tangent line to the curve y = √ (3 + x2)that is parallel to the line x- 2y…

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Q: Find the equation of the tangent line to the curve 2y? + xy = 5 – 2x², at the point (1;1).

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Q: *4. Find the equation of the tangent line to r² – 3ry + y² = -1 at (2,1).

A: Equation of tangent at a point

Q: Calculate the equation of the tangent line to the curve 2r³ + xy +3x+ y = 2 at the point (0, 2).

A: To find the equation of a tangent line to the given curve at point (0,2).

Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: Find the slope of the tangent line to the curve 4x – 4xy + 1y = 23 at the point (- 3, – 1).

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Q: Find the equation of the tangent to the curve y = (x−2)(√x2 + 16) at x = 3.

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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: 2. Find the slope of the tangent to the curve y = 3 + 4x² − 2x³ at the point where x = a -

A: The equation of the curve is given by y = 3+4x2-2x3 To evaluate: The slope of the tangent to the…

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 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 an equation for the horizontal tangent to the curve at Q. y = 1+ v2cscx + cotx

A: To find tangent line , find out the slope of the tangent line Take derivative to find out the slope…

Q: Find the slope of tangent to the curve y = sin5x + 3x T 37 %3D at 2 2

A: Given :- Curve is y = sin5x + 3x Coordinates are (π/2, 3π/2)

Q: Find the tangent line to the curve (x-3y)2  + 8x + 12 = 0 at the point where y = 0

A: First differentiate at point then use equation of tangent line

Q: Find the tangent line to the curve (x-3y)²+8x+12=0 at the point where y=0

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Q: Find the equation of the tangent to the curve y = (x−2)√(x2 + 16) at x = 3.

A: To find the equation of tangent line to the given curve at x = 3.

Q: f2(x) = 2x³ – 4x² + 5.

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Q: Find the equation of tangent line to curve x= t^(2)-2t and y=t^(2)+2t at the point t=2?

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Q: Find an equation of the tangent to the curve r + ry + y² = 3 at (-2, 1). %3|

A: First find the slope of the tangent with the help of derivative of the curve than write the equation…

Q: Find the equation of the tangent line at the given point. 1. y²e* = 3y + x² at (3,0) 2. x*+ y? = 3…

A: 1)y2ex=3y+x2Differentiate w.r.t x2yy'ex+y2ex=3y'+2xSubstitute…

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

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Q: Find the slope of the tangent line to the curve 1x^2+1xy−2y^3=160 at the point (−4,−4)

A: The objective of the question is determine the slope of the tangent linen to the given curve.