Q: 4. Find the equation of the tangent line to the curve y=x-2x+3 at the point (2,3).
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A: Given: y = √(2x+1) Point (4,3)
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Q: Find the equation of the tangent line to the curve y²(y² – 4) = x² (x² – 5) at the point (0, –2). |
A: Equation of tangent line is given by:y-y1=dydxx=x1·(x-x1) .............[1]So first find dydx at…
Q: Find the slope of the tangent line to the curve. √(3x + y) + √(2xy) = √7 + √4 at the point (2,1).
A: Given: 3x+y+2xy=7+4 we know that slopem of tangent at point2,1 is given by m=dydx|2,1 so, finding…
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Q: Find an equation of the tangent line to the curve at the given point. у %3D sec(x), (л/3, 2) 2nv3 y…
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Q: Find the equation of the tangent line to the curve y x at the point 1, 4
A: We can find the equation of tangent line to the curve as below
Q: Find an equation of the tangent line to the curve at thegiven point y = ln ( x 2- 3x + 1 ) ,…
A: Given,y = ln (x2-3x+1)slope of tangent line is equal to the first derivative of curve at given point
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Q: Find an equation of the line tangent to the curve defined by x + 3xy+ y = 5 at the point (1, 1).
A: Given Curve ia x3 + 3xy + y2 =5 at the point(1,1) Find equation of tangent.
Q: Find the equation of the tangent line.
A: Consider the given equation of curve:
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 the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).
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Q: Find the equation of the tangent line to r - 3ry + y =-1 at (2,1).
A: Since you have posted multiple questions, as per our policy we will answer first question. Please…
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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…
A: Explanation: Given that, y=2x3-3x2-10x+1 Concept Used: 1. Slope of the tangent is the first…
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Q: ind the slope of the tangent line to the curve y = V4x – 3 at the point (13, 7).
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Q: Find the equation (in terms of x and y) of the tangent line to the curve r=4sin2θ at θ=π/3. y=?
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Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.
A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…
Q: Find an equation of the tangent line to the curve y = √ (3 + x2)that is parallel to the line x- 2y…
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Q: Find the slope of the tangent line to the curve x²-3y=4y³ at x=-1
A: Solution: Consider the given equation of the curve is: x2 -3y = 4y3or4y3 = x2 -3y Differentiating…
Q: *4. Find the equation of the tangent line to r² – 3ry + y² = -1 at (2,1).
A: Equation of tangent at a point
Q: Calculate the equation of the tangent line to the curve 2r³ + xy +3x+ y = 2 at the point (0, 2).
A: To find the equation of a tangent line to the given curve at point (0,2).
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Q: Find the equation of the tangent of the curve y=x^3+(3x)^(-1) at point (1,4)
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Q: Find the equation of the tangent line to the curve y = 2 In(x - 26) at the point (3,0). %3D y =
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Q: Find the equation of the tangent line to the curve y3 + 4.xy = 9 at point (2, 1).
A: Recall: Point-slope intercept form : (y-y1)=m(x-x1); where , m=y'(x) and (x1,y1) be the…
Q: Find the slope of the tangent line to the curve x + xy – y = 23 at the point ( – 3, – 2). -
A: The given function is x2+xy-y3=23 The point is x0,y0=-3,-2
Q: Find the equation of the tangent line to the curve y = e - x that is parallel to the line y = 1 - 2…
A: Consider the curves, y=e-x…
Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R
A: Follow the procedure given below.
Q: Find the x-coordinate of the point/s on the curve y = 2x – 3x² – 12x + 20 where the tangent line is…
A: The slope of the tangent line to the curve at point P(x,y) is given by,…
Q: Find the equation of the tangent line to the curve y^4(1-x)+xy=2 at x = 1
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Q: Find the equation of the tangent line to the curve y= 3x^2 - 2 passing through the point P(-1,1) .
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Q: . Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x – y…
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Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).
A: To find the equation of the tangent line at the point (1, 1) to the curve given below.
Q: Find the equation of the tangent line to the curve y=x-6cos(x) at the point (0,-6)
A: We have to find equation of tangent line to the curve y=x-6cos(x) at the point (0,-6) Now first we…
Q: Which is the equation of the tangent line to the curve x* +xy = 4 + y at the point (4,6)?
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Q: Find the equation to the tangent line to the curve y = Vx³ – 2 where x 3 3
A: Please refer the attached image for complete solution.
Q: Find the slope of the tangent line to the curve 2x² 4xy + 4y³ = 10 at the point ( − 1, 1).
A: SOLUTION-
Q: Find the equation of the tangent line to the curve y = 2 In(x³ – 26) at the point (3, 0). y =
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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)
Q: Calculate the equation of the tangent line to the curve x^2+xy+3x+2y-1=1 at the point (0,1)
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