x2-4 3. Use the guidelines for sketching the curve f (x) = n (a-4) In x²-3x-4/ %3D

Q: 1 ) Find the equation of the curve for which   y” =  6x – 4 and which passes through (1,2) and (-2…

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Q: Find the oblique asymptote of 2z2-9z+15 f (x)= I-5 Section 3.4 O y = 2x + 1 y = 2x-19 O y = 2x- 9 O…

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Q: Sketch the curve f(x) = x/(x-1)^2. Show complete solution

A: We have to sketch the given curve f(x) = x/(x-1)2. To sktech the given curve we will follow the…

Q: An equation of the line tangent to the graph of f(x) = x(1-2x)3 at the point (1,-1) is A. y = -7x+ 6…

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Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

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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: Identify and sketch the curve for x2-y2-6x = 0

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Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

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Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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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: 10. Find the slope-intercept form of the equation of the line tangent to the graph of y arctan(9x)…

A: Given y = arc tan9xand x=39here we find the slope - intercept form of the equation of the line…

Q: 5x=2 5. Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: Therefore, the curve y = x* - 2x2 + 2 has horizontal tangents at x-0, 1, and -1

A: Just compute the derivative and equate it to zero.

Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: 2) Find the equation of the curve whose slope at any point p(x,y) is m =x (x +5)² and passing…

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Q: find the slope of the curve at the given points (x2 + y2)2 = (x - y)2 at (1, 0) and (1, -1)

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Q: Use the guidelines of this section to sketch the curve   y = x e -1/x

A: The given function is y=xe-1x. Sketch the graph of the above function as shown below.

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

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Q: x2 Sketch the curve of y %3D (х-2)(х-6)

A: According to question,Given function,y = x2x-2x-6

Q: How fast does the  slope of the curve y= (x2+x+1)2 change at the point where x=2

A: First derivative of a function represents the change in function or slope of the function and second…

Q: х2—4 Use the guidelines for sketching the curve f (x) = ln х2-3х-4.

A: please see the next step for solution

Q: 2. Find the length of the curve y=- 1 from 1<x<2. 8 4x?

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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 x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: 6. Find an equation in the form y = ax³ + bx² + cx + d__whose graph has an x-intercept at x = -1, a…

A: Given: x-intercept at  y = 2 y-intercept at x = -1 slope at (-2,-2) is 5. (-2,-2) lies on the curve…

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

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: Compute the equation of the horizontal asymptote of the curve y = (2x- 1)/ (x + 2). y = 2 x = 2 X =…

A: Given; y=2x-1x+2   As we know that; To calculate the horizontal asymptote, solve the limit…

Q: The slope of the curve y^2-xy-3x=1 at the point (0,-1)

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Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

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Q: 11. The maximum point of the curve * y =r' - 3r° + 4 is at

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Q: Parameterize the following curve 9x 9x^2 + 4y^2 = 32y -54x-109

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Q: Parameterize the curve: x2+25y2-4x+100y+4=0

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Q: The equation of the tangent to the curve y = x – 3x² – 2x + 2 at the point where the curve cuts the…

A: We have to find  the equation of tangent in the form of y=mx+c.

Q: 9) Find the point(s), if any, where the graph has a horizontal tangent for 3x4 %3D = - 3x2 f(x) = 4…

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Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

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: Find the length of the curve : y = + from x = 1 to x = 3 - 3 4x

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Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

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Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: 3. Find the length of the curve y =- 6. 1 from x=2 to x=3 2x

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Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A: To find the equation of family of curves whose slope is given .

Q: Find the point of inflection of the curve y= -x^3+x^2-x+1

A: The expression for the curve is given as, y=-x3+x2-x+1 The expression for the point of inflection…

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: Identify and sketch the curve for: x2-y2-6x=0

A: Combine the like terms of x and y in the given equation, and then add 9 on both sides of the…

Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.