What is the equation of the line tangent to the graph of y = (2x+3)/(3x-2) at the point (1,5)? 13x - y - 8 = 0 O 13x + y - 18 = 0 O x - 13y - 64 = 0 O x + 13y - 66 = 0

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: What is the equation of a line parallel to 킹 =Dz+ 2 that passes through (1, 2)?

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Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

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Q: 5. Find an equation of the line tangent to the curve y = 3x² 1 and parallel to the line 2x – y + 3 =…

A: Explained below

Q: Find equations of the two tangent lines to the graph of f(x) = 2x2 that pass through the point (-1,…

A: Here, the given curve is: f(x)=2x2 To find two tangent lines that pass through (-1,-6)

Q: Find the equation of the line normal to x3y-2xy2= - 4 at the point (-2,1)

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Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: How do you find the equation of the tangent line to the parabola for y = x2 − 3x − 1 at x = 4.

A: The equation of the given parabola is y=x2-3x-1. We have to find the equation of the tangent line to…

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

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Q: The slope of the tangent line to the parabola y = 2x + 5x + 7 at the point (- 4, 19) is: The…

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Q: Find equations for two lines that are both tangent to the curve y = x³ – 3x² + 3x – 3 and parallel…

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Q: Find equations of the tangent lines (in slope-intercept form) to the curve y = x-1 that are parallel…

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Q: The equation of the line tangent to the curve y=3x+4/4x-3 at the point (1,7) is  a) y - 25x=-18 b) y…

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Q: Find an equation of the curve that passes through the point (0, -7) and whose slope at the point 2x…

A: we have to find the equation of the curve

Q: 4) Find an equation of the line tangent to the graph of 2x³y³ = 2y – 4x at the point (-1, –1). Show…

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Q: Find the equations of the tangents to the curve x = 6t2 + 2, y = 4t3 + 2 that pass through the point…

A: Given data:     The first equation is: x=6t2+2. The second equation is: y=4t3+2. The given point is:…

Q: What is the slope of the tangent line to the graph of the solution of y' = 7√x + 6x³ that passes…

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Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

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Q: Find an equation of the line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

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: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: Find an equation of the line through the point (1, 2) that is perpendicular to th = --x +3 Select…

A: The given question is solved below.

Q: There are two lines passing through the point (5,-1) that are tangent to the parabola y = -x^2+4x.…

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Q: Find the point where the tangent to the curve y = x +6x + 9x + 7 is parallel to the x-axis. 37.…

A: topic - point at which tangent line is parallel to curve. note : As per bartleby guidelines, we are…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +…

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Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

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Q: Find the equation of the tangents: y=x² + 6x² + 10x + 8 parallel x-y= 2. to the line А.…

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

A: We will find the equation of the line tangent in the following step.

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 slope of the curve y = 2x2-3x at point (1,3) O 2 O 3 O -2 0 1

A: We   have to find slope

Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3…

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Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

Q: 11. What is the slope of the tangent line to the curve y = 3x2 - 5 at point (-1,-2)? а. -5 b. -6…

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Q: Find an equation of the curve that passes through the point (0, 6) and whOse slope at (X, y) is X/y.

A: Given that: Slope of the curve at (x, y)=xy

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: 9. Find an equation of the line tangent to the curve y = 2x - 7x2 + 10 at the point (3, 1). y = 12

A: Given that, the curve is y = 2x2 - 7x2 + 10  To find the tangent line to curve at point (3,1)   To…

Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: 2 5. Write the equation of the line tangent to y=4-x when x=-1.

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Q: The slope of the tangent line to the parabola y 3x + 3x +7 at the point (- 5, 67) is: The equation…

A: Take the derivative and put the given point.

Q: What is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)?…

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Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 3√√y + 7x³ that passes…

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Q: Find equations of the two tangent lines to the graph of f(x): x2 that pass through the point (-1,…

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Q: What are the coordinates of the point on the graph of Ax) = (x+ 1)(x+ 2) at which the tangent is…

A: solution:-f(x)=x+1x+2      =x2+3x+2slope of tangent=ddxf(x)                             =ddxx2+3x+2…

Q: Find equations of both lines that are tangent to the curve y = x3 - 3x2 + 3x - 3 and are parallel to…

A: The given curve is represented by y = x3 - 3x2 + 3x - 3 and are parallel to the line 3x - y =…

Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…

Q: Find equations of both lines that are tangent to the curve y=x3 -3x2+3x-3 and are parallel to the…

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.

Q: Find the equation of the line that is tangent to the graph of y= x^3 +4/x^2 at point (2,9)

A: The equation of tangent line to y=f(x) at (x0,y0) is y-y0=f'(x0)(x-x0)