To find: The percentage of fall in males is faster or rise in females is faster or vice-versa.
The percentage of females is increasing faster than the percentage of males is decreasing.
Given:
The data of labor force in the form of table is
Year | Female | Male |
1960 | 37.7 | 83.4 |
1965 | 39.3 | 80.5 |
1970 | 43.3 | 79.6 |
1975 | 46.3 | 77.2 |
1980 | 51.5 | 77 |
1985 | 54.5 | 76.1 |
1990 | 57.5 | 76.3 |
1995 | 58.9 | 74.6 |
2000 | 59.9 | 74.7 |
2005 | 59.3 | 73.2 |
2010 | 58.6 | 70.7 |
Calculation:
Calculation of slope for percentage of males.
Taking
Substitute the values in the formula
Calculation of slope for percentage of females.
Taking
Substitute the values in the formula
The negative slope of male indicates that the percentage of male is falling while the positive slope of female indicates that the percentage of female is rising.
Conclusion:
The value of slope is more in case of females than males. So, the percentage of females are increasing faster than the percentage of males are decreasing.
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- Find the equation of the line / in the figure below. Give exact values using the form y = mx + b. m = b = y WebAssign Plot f(x) = 10* log 9 Xarrow_forwardA particle travels along a straight line path given by s=9.5t3-2.2t2-4.5t+9.9 (in meters). What time does it change direction? Report the higher of the answers to the nearest 2 decimal places in seconds.arrow_forwardUse the method of disks to find the volume of the solid that is obtained when the region under the curve y = over the interval [4,17] is rotated about the x-axis.arrow_forward
- 1. Find the area of the region enclosed between the curves y = x and y = x. Sketch the region.arrow_forwardfor the given rectangular coordinates, find two sets of polar coordinates for which 0≤θ<2π, one with r>0 and the other with r<0. (-2sqrt(3),9)arrow_forwardI circled the correct answer, could you show me how to do it using divergence and polar coordinatesarrow_forward
- The correct answer is D Could you explain and show the steps pleasearrow_forwardTaylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x) Zero order f(x + 1) = f(x;) First order f(x; + 1) = f(x;) + f'(x;)h 1.0 Second order 0.5 True f(x + 1) = f(x) + f'(x)h + ƒ"(x;) h2 2! f(x+1) 0 x; = 0 x+1 = 1 x h f(x)=0.1x4-0.15x³- 0.5x2 -0.25x + 1.2 51 Taylor Series Approximation H.w: Smaller step size implies smaller error Errors f(x) + f(x,) Zero order f(x,+ 1) = f(x) First order 1.0 0.5 Reduced step size Second order True f(x + 1) = f(x) + f'(x)h f(x; + 1) = f(x) + f'(x)h + "(xi) h2 f(x,+1) O x₁ = 0 x+1=1 Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5 iterations (or & s= 5%) for f(x)=0.1x 0.15x³-0.5x²- 0.25x + 1.2 52arrow_forwardCould you explain this using the formula I attached and polar coorindatesarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning