Find the equation of the line segment tangent to the curve y−2x2−1=0y−2x2−1=0 which is parallel to the line y=2x+5y=2x+5.

Q: Find the equation of the line tangent to the curve y=x-x^2 (x squared) at x=-4

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Q: Find an equation of the line tangent to the curve defined by z2 + 6ry +y = 32 at the point (2, 2).

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Q: Find an equation of the line tangent to y = xinx at the point x = 1.

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Q: Find the equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 2.

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Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: Write the equation of the line tangent to the curve xey = 2y + 3  at (3, 0).

A: We have to write the equation of line tangent to the curve xey=2y+3 at the point 3,0 We know that…

Q: Find the equation of the tangent line to the curve y = 3x2 + 2x +7 at the y intercept.

A: Given: y = 3x2+ 2x+7

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 equation of the tangent to the curve y= 3x' – 4x² +2x–10 at the points where the curve cuts…

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Q: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

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Q: Find the equation of the tangent to the curve  y = -5x2 + 6x +7 at the point (1/2 , 35/4)

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Q: Find the equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

A: The given equation of the curve {parabola} is y=x²-2x-3  and the given equation of the straight line…

Q: FInd the equations of the tangent lines to the curve y=(x-5)/(x+5) that are parallel to the line…

A: Given:The equation of the curve is y =(x-5)/(x+5).The equation of the line is x-10y =2.

Q: Find the equations of the tangents to the curve x = 9t2 + 6, y = 6t3 + 3 that pass through the point…

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Q: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: (b) Find the equation of the tangent line to the curve 8x²y3 – 5x? + 7y³ = 10(x – 3y), at the point…

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Q: Find the equation of the tangent line to the curve y = x+5x* which is passing through point (1, 3):*…

A: Given : Curve  y = x + 5x2 Point 1,3   To find : The equation of the tangent line to the given…

Q: Find equations for the lines that are tangent and normal to the curve at the point (1,1).. x³ + y² =…

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Q: Find the equation of a line tangential to the curve y = 2x² + 7x + 9 at P(1,18).

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Q: Find the equation of the line tangent to the curve 3t2 + 8,y = 8t + 3 at t = 2

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Q: Find the equation of the tangent to y= 5e" that is parallel to y- 5x. a) y= 5x-5 b) y= 5x+5

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Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: 2.) What is the equation of the line tangent to y(x) x- 2r3+6x-3 at r =-1?

A: Follow the steps .

Q: Find the equation of the line tangent to 3x²y + 4xy2 = 6x² + 5y at the point (1,).

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Q: At what point on the curve y = 2x²– 3x – 1 is its tangent parallel to the line y = 5x + 2?

A: Given curve is : y=2x2-3x-1 And the given line is : y=5x+2 We need to find the point on the curve at…

Q: Determine the equation of the line tangent to the curve   at the point (-1,1) and reestablish a…

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Q: Write the equation of the line tangent to the graph of y = 5xe*+4 at x = 1. a) y = 5e-1+4 b) y =…

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: What is the equation of the line tangent to the curvev= x² – 1 at the point -2,3) y = x+ O y=-4x +…

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Q: Find the equation of the line tangent to the curve x = 3t2 + 8 , y = 8t + 3 at t = 2

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Q: Find the equation of the line tangent to y = 3x² + x +1 at x = -3 Oy=-17x - 26 Oy=6x-3 Oy=-17x - 3…

A: Given that y=3x2+x+1, x=3 We know that the equation of the tangent is y-y1=mx-x1 where m is the…

Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

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Q: Find the slope of the tangent line to the curve - l2? – 2ay + 4y³ = - 249 at the point (1, – 4).

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Q: Find the equation of the line tangent to x^2 + y^2 - 6x + 2y = 0 at (0,0)

A: Implicit Differentiation In implicit differentiation, when we differentiate y, we use y' or dy/dx…

Q: Find the equation of the tangent line to the curve y=x4 -14x2+17x+40 and perpendicular to the line x…

A: The equation of given curve is   y=x4-14x2+17x+40  On differentiating with respect to x, we get…

Q: Find the equation of a line normal to the curve x^2=16y at (4,2).

A: Solve the given problem.

Q: Find the equation of the tangent to the curve y 18x- 2y-3 0. 3e3 that is parallel to the line

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Q: Find the equation of the line normal to x^3 + y^3 = 6xy at (3,3)

A: Given, x3+y3=6xy

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: Write the equation of the line tangent to the curve xe = 6y + 7 at (7, 0). %3D

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Q: At what point (x,y) is the tangent line to the curve y=2x2-5x+8 parallel to the line y=3x-7

A: It is given that

Q: Find the equation of the line tangent to 8x2 + 18y3 = 152 at x = 1. %3D

A: The equation of a line tangent to a curve, y = f(x) passing through the point (x1,y1) is given by: y…

Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: Find the equation of the line normal to the curve 2x^2-3xy+y-18=0 at (3,0).

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Q: Find an equation of the line tangent to the curve y = v4x – 3 – 1 and perpendicular to the line x +…

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