Question

In: Math

state the area between the lorenz curve L(x)=xe^(x-1) and the x-axis as a definite integral. Approximate...

state the area between the lorenz curve L(x)=xe^(x-1) and the x-axis as a definite integral. Approximate its value (to 3 decimal places) using midpoints and n=5 equal with subintervals.

Solutions

Expert Solution


Related Solutions

Find the area enclosed between the x-axis and the curve y=x(x-1)(x+2)
Find the area enclosed between the x-axis and the curve y=x(x-1)(x+2)
Approximate the area under f(x) = (x – 1)2, above the x-axis, on [2,4] with n...
Approximate the area under f(x) = (x – 1)2, above the x-axis, on [2,4] with n = 4 rectangles using the (a) left endpoint, (b) right endpoint and (c) trapezoidal rule (i.e. the “average” shortcut). Be sure to include endpoint values and write summation notation for (a) and (b). Also, on (c), state whether the answer over- or underestimates the exact area and why.
1. A Lorenz curve measures the ___ on the vertical axis. A) cumulative percentage of families...
1. A Lorenz curve measures the ___ on the vertical axis. A) cumulative percentage of families B) demand of families on welfare C) cumulative percentage of money income D) cumulative percentage of family wealth 2. A Lorenz curve that is perfectly straight indicates A) that a small portion of the population accounts for most of the income. B) that society is very rich. C) that a large portion of the population accounts for most of the income. D) complete income...
Determine the area between the curve f(x)= |2x-3|, the x axis and the lines x=0 and...
Determine the area between the curve f(x)= |2x-3|, the x axis and the lines x=0 and x=3 a. 4.5 b. 2.25 c. 6 d. 3
What is the difference between and definite and indefinite integral, the graphical interpretation of the definite...
What is the difference between and definite and indefinite integral, the graphical interpretation of the definite integral and the connection between the summation approximations. (left, right, trapezoid) with the definite integral.
Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the...
Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the following methods with n=4. ​f(x)=88x+55                               from x=44 to x=66 a. Use left endpoints.   b. Use right endpoints.   c. Average the answers in parts a and b. d. Use midpoints.
Find the area between the curve and the​ x-axis over the indicated interval. y = 100...
Find the area between the curve and the​ x-axis over the indicated interval. y = 100 − x2​;    ​[−10​,10​] The area under the curve is ___ ​(Simplify your​ answer.)
Use Simpson’s Rule with n = 4 to approximate the value of the definite integral ∫4...
Use Simpson’s Rule with n = 4 to approximate the value of the definite integral ∫4 0 e^(−x^2) dx. (upper is 4, lower is 0)    Compute the following integrals (you may need to use Integration by Substitution): (a) ∫ 1 −1 (2xe^x^2) dx (upper is 1, lower is -1)       (b) ∫ (((x^2) − 1)((x^3) − 3x)^4)dx      
approximate the area under f(x) = 10x - x2, above the x-axis, on [1,7] with n...
approximate the area under f(x) = 10x - x2, above the x-axis, on [1,7] with n = 6 rectangles using the left and right endpoint, trapezoidal rule and midpoint methods (include summation notation and endpoint values) and then find the exact area using a definite integral (include a graph with shaded region)
Find the area between the curve and the x axis from [-1,5] . f(x)=5x2-3x+4 .Use the...
Find the area between the curve and the x axis from [-1,5] . f(x)=5x2-3x+4 .Use the Fundamental Theorem of Calculus. Find the Area using Right Hand Riemann Sums with n=10 Explain the difference between the two methods. Which of the two methods is more accurate? How can you make the less accurate way more accurate without changing the process?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT