Find the equation of the line tangent to the ellipse x^2 - xy + 2y^2 - 4x + 2y + 2 = 0 if the tangent line is parallel to the line 4y - x + 2 = 0.

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: Find the slope of the tangent line to the curve 4x2 – 2xy – y = 32 at the point (2, – 2).

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Q: Find the equation of the tangent line to the graph of x4 y2 = 144 at the point (2, 3) and at the…

A: Equation of the tangent line to the graph of x4y2=144 at the point (2, 3) Now, differentiate the…

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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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: .What is the slope of the tangent line to the curve y = -4x3 + 3x – 5 at the point (1, –6)?-

A: Our Aim is to tell the slope of the tangent line to the curve y=-4x3+3x-5 -(i) at the point (1,-6).

Q: The slope of the tangent line to the curve y=2x^3 at the point (-4,-128) is ____. The equation of…

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Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Write the equation of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: To find the equation of the tangent line to the curve y=x3+3x-8 at (2,6). Solution: We know, The…

Q: Find the slope of the tangent line to the curve 4x + 4cy- 4y° 276 at the point (- 1,4).

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Q: Find equation of tangent y=x³-4x+1 at point (2,1)

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

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Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find an equation of the tangent line to the curve y = 5 – 2x – 3x² at (1,0). y =

A: We will find the equation of the tangent line to the curve at the given point as following.

Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y% = 104 at the point (2,…

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Q: What is the slope of the tangent line to the graph of x^2-xy+3y^2-2x+4y=3 at (3,0)?

A: The objective is to find the slope of the tangent line to the graph of x^2-xy+3y^2-2x+4y=3 at (3,0).…

Q: find the equation of the tangent line to the curve  8x2y3-5x2+7y3 = 10(x-3y) , at point (2,-2)

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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 the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: what is the slope of the tangent line to the curve 8x^3 - y^2 = 4 at the point (1,-2)

A: Given,

Q: Find the equation of the tangent line to the ellipse 25x2+ y2 = 109 at the point (2, 3

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Q: Find an equation of the tangent line to the curve y=8ln((x^3)-26) at the point (3,0).

A: To determine equation of tangent line at given point.

Q: The slope of the tangent line to the curve y 4 at the point (4, 1) is: - The equation of this…

A: The slope of tangent to any curve is determined by the derivative . So, slope of the tangent…

Q: Ax) = (5x* - 3x)(2x° – 7x) en x =

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Q: Find the slope of the tangent line to the curve y2+x2 = y4-2x at point (-2,1)

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Q: Find the equations of the tangent line and normal line to the parabola y=2x2 at the point (2,8).

A: We find dy/dx at x=2 to find the slope of the tangent  Then we use the point-slope formula to find…

Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: Find the equation of the tangent line to the curve y=xVx +5 at the point (2,6).

A: Given : y= x √(x²+5)  To find tangent line equation, we need to find differentiation of this…

Q: Find the equation of the tangent line to 4x2 +y2= 8 at (1,2)

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Q: Find the equation of the tangent line to the curve y = xV13 – x² at the point (2,6).

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Q: Write an equation of the tangent line to the curve x2+y2-25=0 at the point (3,4).

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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 an equation of the line tangent to the curve defined by æ° + 2xy + y = 104 at the point (2, 2).…

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Q: Determine the equation of the line tangent to the curve square root(xy)=x-2y  at point (4,1)

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Q: Find the slope of the tangent lines on the curve y = 6x^3 +24x^2 -39x -43 at poins (-5, 2) and (1/3,…

A: We know that, The slope of the tangent line to the curve at a given point Px1,y1 is equal to the…

Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

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Q: Show that the curve y = 6x + 6x - 3 has no tangent line with slope 2.

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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 the equation of a curve in the xy-plane that passes through (1,3) and -6x(2+y) V3 – 3x2 whose…

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: calculate the slope of the tangent line to the curve 3x3y2-2y3=-4 at the point (1,2)

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Q: Write the equation of the tangent line to the curve y = x + 6x - 3 at (1,4).

A: Given,           The curve is y=x2+6x-3 and the point is 1,4.To find: The equation of the tangent…

Q: Determine the equation of the line tangent to y = /1+x³ at the point (2, 3).

A: The given function is y=1+x3. Its derivative is obtained as, dydx=ddx1+x3=121+x3ddx1+x3=3x221+x3 at…

Q: find an equation of the tangent line that passes through y=x^3+x+4 at (-(2,-6)

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Q: Find the equation of the tangent line to the curve CULUE yt + In (x²+y) = 5x -1 point (2,-3) at the

A: Given: y2+lnx2+y=5x-1 for finding equation of tangent, we need to find slopem of the tangent we know…

Q: What is the slope of the tangent line to the curve 3y- 2-6-2xy at the point (3, 2)?

A: Given,           3y2-2x2=6-2xy     To find slope, let's differentiate. wrt.x           3.2y…

Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…