A)Determine the equation of the tangent to the curve y = (2x2 – 3) (x + 1)2 at the point where x = 1.

Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation.

Q: Find the point (x,y) at which the graph of y=4x2 +4x-8 has a horizontal tangent line

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Q: 3. Find the equation of the tangent line to the graph of x²y? + 9xy = 162 at the point (-3, 6).

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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: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Find an equation of the tangent line to the graph 16x4 + y4 = 32 at the point (1,2). %3D 1) 5 1 -+x-…

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Q: The slope of the tangent line to the parabola y = 2a2 + 2a + 6 at the point ( – 2, 10) is: The…

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Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;…

A: The given equation of the graph is y=16-x2 and the point is (3, 7) . We have to find the tangent…

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 the equation of the tangent line to the curve y2=6x-3 perpendicular to the line x+3y=7

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Q: A coordinate of the point on the curve of y=2x3−3x−6, where the tangent at the point is…

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Q: 15. Find the equation of the curve whose slope at any point is equal to -(y +1)/(x + 1) and which…

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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: (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: 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 points at which the graph of the equation has a vertical or horizontal tangent line.…

A: Given equation of a graph is 4x2+y2-8x+4y+4=0 Since we need to find the points where the tangent to…

Q: At the two points where the curve x² – xy + y² = 36 crosses the x-axis, the tangents to the curve…

A: Given equation of the curve is: x^2 - xy + y^2 = 36 ..................... (1) Differentiating above…

Q: 1. Find the slope and equation of the tangent line to the graph of g(x) = x² + 2x + 1 on the…

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION SO, I HAVE ANSWERED FIRST ONE FOR YOU…

Q: The slope of the curve y- xy- 3x = 1 at the point (0, -1) is а. 1 с. -1 b. 2 d. -2

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Q: Find an equation of the tangent line to the curve x2+y+y2=13 at the point (-1,3)

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Q: The equation of the tangent line to the curve y = x2 – 4x at the point where the curve crosses the…

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Q: Find the equation of the curve that passes through the point (0, 2) and has a slope of at any point…

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Q: Find the equation of the tangent line to the graph of x^2 * y^2 + 6xy =1512 at the point (-7,6)

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Q: (b) Find the points on the curve y = 2x3 – 3x2 – 12x + 20 where the tangent is parallel to the…

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Q: The x-coordinate of the point where the tangent line to the parabola y=2x^2 at x=1 intersects the…

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Q: 12. Find an equation of the tangent line to the parabola y = x2 – 1 at the point (2 ,3 ).

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Q: 4. Find the equation for the line tangent to a. y= x²- 3 x + 5 at the point (2, 3)

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

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

Q: 12. What is the equation of the tangent line to the curve y = x² – 2x + 1 at point (3,4)? a. у%3D 2х…

A: Since the student has mentioned to solve question numbers (12) and (13), but we can solve only one…

Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

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Q: 2. (A) Find the equation of the tangent line tof (x) = x4 – 98x² + 82 at x = -1. (B) Find the…

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

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Q: Find an equation of the curve that passes through the point (0,1) and whose slope at (x, y) is 11xy

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Q: 7. Find an equation of the line tangent to the curve y = 3x² – 1 and perpendicular to the line x

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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

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Q: 1 - Find the equation of the tangent line to the curve y = 3 5 x2 +6x 2 11 at its point of…

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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: 16. The slope of the tangent line at any point (x, y) on the curve is 3x2 - 2x +7. What is the…

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Q: 5. Find the point on the parabola y=-x+3x+4 where the slope of the tangent line is 5.

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Q: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

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: At what point (s) is the tangent line to the curve y²=2x³ perpendicular to the line 4x-3y+1=0

A: Given y2=2x3⇒ y=2x3

Q: Determine the coefficients a, b, c and d so that the curve y = ax³ + bx² + cx + d be tangent to the…

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Q: The slope of the tangent line to the parabola y=2x^2+2x+7 at the point where x=4 is: slope =…

A: The equation of the parabola is y=2x2+2x+7

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: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…