A governmental agency determines that the Lorentz curves for the distribution of income for dentists and contractors in a certain state are given by the functions L1 (x) = 2 + x1.35, L2 (x) = 0.12+ 0.9x, and respectively. For which profession is the distribution of income more fairly distributed?

Q: 4. Find the orthogonal trajectories of the given family of curves. y = cx'.

A: Solution:-              y=cx3 →          1              Diff. w.r.t x            ⇒dydx=3cx2…

Q: 7. For the curve y = x2 + x, at what point does the normal line at (0,0) intersect the tangent line…

A: Find the slope of the tangent at (0,0): m=dydx=2x+1=20+1=1

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A: Consider the given function:

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A: (a) Normal to the curve y=fx at the point 3,4 makes an angle 3π4 with the positive x-axis then we…

Q: Find the equation of the tangent and normal line of the function f(x) = V2x – 1 at the point (5, 3).

A: fx = 2x-1     , 5,3f'x = ddx2x-1     = ddx2x-112        = 122x-1ddx2x-1        = 222x-1 = 12x-1∴f'5…

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A:

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Q: determine the equation of the orthogonal trajectories of the following families curves: The…

A: Given that: y2=x3a-x

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Q: The tangent line to y=f(x) at (−4,−9) passes through the point (0,−4). Compute the following. a.)…

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Q: The Lorenz curves for the income distribution in the United States for all races for 2015 and for…

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Q: Suppose X1 and X2 are iid observations from the pdf f(r|a) = ax 0. Show that (log X1)/(log X2) is an…

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Q: 2) Find the point(s) at which the graph of f (x) = has a horizontal tangent. x2+1 %3D

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Q: 4 Let f(x) = 4x + x2 given by y = mx + b for . Then the equation of the tangent line to the graph of…

A: We know that if m is slope and (x1,y1) is point on line the equation of line is given as-  (y - y1 )…

Q: suppose that y is an implicit function f(x) defined by the equation x^3 + y^3 = 8xy − 7. find the…

A: suppose that y is an implicit function f(x) defined by the equationx3+y3=8xy−7. find the equation of…

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Q: 1. Find the orthogonal trajectories of the given family of curves: Circles through the origin with…

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Q: -y 5. e+eY = C %3D

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Q: 6. y = C Sin x

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Q: In an effort to make the distribution of income more nearly equal, the government of a country…

A: Given: Lorenz curve for first year: y = 0.97x2.1 And for the next year: y = 0.35x2 + 0.65.

Q: 2х — What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the…

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = –1 if g(-1) = 5 and g' (-1) =…

A: Concept: The Equation of tangent to the graph y = g(x) at point (x1,y1) is given by: (y -y1) =…

Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ +10

A: Given that, Family of curves is following, y = Ce2x + 10…

Q: at x= - 2 Given : x-Xy + 2y -3 = 0

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Q: A curve y = f(x) defined for values of x > 0 goes through the point (1, 0) and is such that the…

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Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

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Q: determine the equation of the orthogonal trajectories of the following families curves: e^x+e^-y=C1

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Q: Find the equation of the tangent line to the graph of F(x) = c2x²+2x+1 sech a ev dy at x = 0.

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Q: The slope of the tangent line to the graph of y = e3 at x = In 2 is

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Q: Find the slope of the tangent line to the graph of the function at the given point. y = In x3 y 5E 4…

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