Consider the curve given by y = 2+ xy. (b) Find all points (x, y) on the curve where the line tangent to the curve has slope . (c) Show that there are no points (x, y) on the curve where the line tangent to the curve is horizontał. (d) Let x and y be functions of time t that are related by the equation y? = 2 + xy. At time i = 5, the dy : 6. Find the value of at time i = 5. dt dx dt value of y is 3 and

Q: 19. Does the line that is tangent to the curve y = x3 at the point (1, 1) intersect the curve at any…

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A: Given y=x-4       point (5,1)To find equation of tangent line:

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

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A: The curve is given by,

Q: Find the equation of the tangent line to the curve y= (1+2x)2 at the point (2, 25). y = %3D

A: This question is based on application of Derivative.

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

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Q: Find equation of the tangent line to the curve y = v2x + 1 at the point (4,3).

A: Given:    y = √(2x+1)  Point (4,3)

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A: To find the equation of the tangent line to the curve fx=83x at the point (0,f(x))

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Q: 2. Find the equation of the tangent line to the curve y = x2 - 2x -3 that is parallel to the line x…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

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A: Given,        The equations of the tangent lines to the curve y=x-1x+1 that are parallel to the…

Q: The tangent of the curve x^2+y^2--7 * 2xy3DO at the point (1,1), is a. y-2-х. О b. y=x-2. O С.…

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A: Formula of equation of tangent is y-y1 = m(x-x1)

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Q: Find the equation of tangent and normal lines to the curve xs sin(2y) = y cos(2x) at the ㅠ ㅠ point…

A: Solution of this question is

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A: Solve the given problem.

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Q: Find the equation of the tangent line at the given point on curve. x2 + y2 = 25; (-3, 4)

A: Given: x2 + y2 = 25; (-3, 4)

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A: The given equation is y=xsinx.

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Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

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Q: Find the equation of the conjoined circle of the curve y =e^x at the point (0,1). From the equation…

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Q: 3 at the point ( 6, (0.) The slope of the tangent line to the curve y = is:

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Q: 4. Find an equation of the tangent line to the curve x – 1 | at the point (3, 2). ||

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

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Q: slope of the tangent to the curve y2x+ y2x2 =6at (2,1) is

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Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

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A: As per the company policy i can answer only first question for you, More than that leads me towards…

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Q: Find the equation of the tangent line to the implicit curve (x^2) + xy − (y^2) = 1 at the point (2,…

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Q: Find the equation of the tangent line at (2,2) on the curve x² + xy + y² = 3

A: Topic = Derivative

Q: Find an equation for the tangent line to the curve y = 2/x at the point (2, 1) on this curve.

A: Given, Equation of curve : y=2x      (i) Common point = (2,1)

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A: Given,          y=x-24x-5-3 where the tangent line is horizontal.

Q: Find the equation of the line tangent to the curve 2(z² + y°)* = 25(z² – y²) at the point (3, 1).…

A: Suppose a line passing through with slope  m then equation of line is .

Q: The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2 is called a cardioid. Find the equation of…

A: consider the given equation, x2+y2=2x2+2y2-x2 Use implicit differentiation method and differentiate…