Find an equation of the curve that passes through the point and has the given slope. 4y (32, 6), y' = 5x

Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

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Q: 1. Find the equations of tangent and normal lines to the curve whose equation y? - 6x2 + 4y + 19 = 0…

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Q: Find the slope of the line tangent to the curve at the given point. y = 7 cos x ; x = 4 C. - 7V2 7V2…

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Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of at any point…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point in…

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Q: 6. Find the point on the curve y = yx that is closest to the point (3, 0)

A: let P is the closest point then say (x,y) then find the distance from the point (3,0)  then minimize…

Q: 4. Find y'(x) for x²y² – 2x = 4 – 4y. Then find the equation of the tangent line at (2, –2 _n…

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Q: (a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen cubic. Find an equation of…

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Q: Find the length of the curve y2 = ln x, -1 ≤ y ≤ 1.

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Q: find the equation of the line tangent to the curve at the given point x2y2=4y ;(2,1)

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Q: 2x Find the equation of the line tangent to the graph of y= In(3x)+- at x=1 6

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Q: Differentiate implicitly to find Then find the slope of the curve at the given point. x²y - 3x - 4 =…

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Q: 1. Find the equation of the lines tangent and normal to the curve 3x?y2=4x2-4xy. at the point…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

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Q: 3. Find the equation of the line tangent to the curve f(x) = 3r²+4r+1 at the point (1,8).

A: To find the equation of the tangent line to the curve f(x).

Q: Q.3 a).Find equations of the tangent line and normal line to the curve y =x} - x+ 2 at the point (1,…

A: First find slope at given point then use equation of line

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (64, 8)

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Q: Find the equation of the tangent line and normal line to the graph of y = x-1 at the x+1 point where…

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Q: Find an equation of the tangent line to the function y 5x at the point P(1, 5). Solution

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Q: 6. Find the equation of the curve whose slope at any point (x,y) is xy and which passes through the…

A: 6. We know that the slope of the function is defined as dydx given that xy Therefore, dydx=xy or…

Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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Q: Find the equation of the line tangent to the graph of x3 + y3 = -5xy + 7 at (1,1).  The equation of…

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Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: 6.) Find the equation of the tangent lines at the point where the curve crosses itself x = t³ – 6t,…

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Q: (B): Find an equation for the tangent and normal Line to the curve (y 2x +4x-3) at (x1)

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Q: The point (2,1) is on the graph of x2 . y3 + 5· x² = y² + 23. Find the slope of the line tangent to…

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Q: Determine an equation of the tangent line to y = (e +2)ª at the point (0, 81), then solve it for y.…

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Q: Find the equation of the curve which passes through (1,8) and at any point (x.y) on th curve the…

A: To find: Equation of curve which passes through (1,8) and at point (x,y) the tangent line has slope=…

Q: (b) Find the equation of the line normal to the tangent at the point x’y+xy² = 6.

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Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: 3c The gradient of the curve which passes through the point (2,12) is given by 5x + 7 dy dx Find the…

A: The solution is given as

Q: (a) Find an equation of the curve that has slope (xy²- x2) dx + (3x²y² + x²y - 2x3 + y?) dy = 0 %3D…

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Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: Find the equation of the family of curve having the given slope, and the equation of the family…

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Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: nd an equation of the tangent line to the curve at the given poir y = x4 + 9x2 - x, (1, 9)

A: We will find the tangent line.

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

A: →Slope, m = dydx→dax+bdx =12ax+b→Equation of straight line passing through (xo,yo) with slope m is…

Q: Consider the curve given by y2 + (1+x³)3 = xy + 8. Find the equation of the tangent line to the…

A: To find the equation of line tangent to the given curve at point (1,1)

Q: Find the values of a and b for the curve x2 y + ay2= b if the point (1,1) is on its graph and the…

A: Find the slope of tangent line

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: I Find the equations of tangent and normal lines of the curves at given points: a. x3 + y2 – 3xy = 0…

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Q: 2. Find the equation of the tangent and normal lines at a given point on the curve. x²y² – 10y + 8x…

A: the equation of the given curve is: x2y2-10y+8x=0 the given point is (2,4) we have to find the…

Q: 2. Consider the curve given by 3y2 – 2x²y³ +2x +9 = 0. Write an equation for the tangent line to…

A: The given curve is, 3y2-2x2y3+2x+9=0 The slope of the tangent curve is given by dydx Determine the…

Q: Find the values of a and b for the curve x²y+ay²=b if the point (1,1) is on its graph and the…

A: It is given that, x2y+ay2=b   ...(1)and4x+3y=7    ...(2) Here equation 2 represent a tangent line…

Q: Consider the curve given by y2 + (1+x³)³ = xy + 10. Find the equation of the tangent line to the…

A: Considering the curve- y2+1+x33=xy+10 Firstly, find the slope of the curve. dy/dx is the slope of…

Q: Q2: Find the slope of the curve r = -1 + cos 0 0-T/2

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Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1) at…

Q: 8x^2y^2 = (x^2 + y^2 )^3  Find an equation for the tangent line to the curve at the point (−1, 1)

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Q: Find an equation of the tangent line and normal line to the curve at the given point. y = x* – 2e*,…

A: Given curve is y=x4-2ex. To find the equation of the tangent line and normal line to the curve at…

Q: Find the equation of the line tangent to the graph of 2 + y* = - 2xy + 13 at ( – 3, 4). The equation…

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