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2. The table below shows corresponding values of x and y which approximately satisfy a relation of the form: y = ab*, where a and b are constants. One value of y is incorrect. By drawing a suitable linear graph determine the incorrect value of y and estimate the values of a and b correct to one decimal place. 2 3 4 6. 13.6 27.2 54.4 180.8 217.6

2. The table below shows corresponding values of x and y which approximately satisfy a relation of the form: y = ab*, where a and b are constants. One value of y is incorrect. By drawing a suitable linear graph determine the incorrect value of y and estimate the values of a and b correct to one decimal place. 2 3 4 6. 13.6 27.2 54.4 180.8 217.6

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Solve Q52, 53 explaining detailly each step

50. Find the x - coordinates of the centroid of the solid obtained by rotating the area enclosed by the curve y = x- x and the line y = 0. dy 51. Solve, in the form y = f(x), the differential equation (x+1) 1-y, given that: y =- 3 when %3D dx find h[f(x)] and sketch its curve, showing clearly the x+2 4x+3 x= 0. Given also that h(x) = points at which the curve cut the coordinate axis and the behavior of the curve near its asymptotes. 52. The table below shows corresponding values of x and y which approximately satisfy a relation of the form: y = ab* where a and b are constants. One value of y is incorrect. By drawing a suitable linear graph determine the incorrect value of y and estimate the values of a and b correct to one decimal place. X 3 4 5 6. Y 13.6 27.2 54.4 180.8 217.6 dy 2(x-1) 53. Given that (x- x)= y, and that y= 1 when x = 2, show that y= dx
Transcribed Image Text:50. Find the x - coordinates of the centroid of the solid obtained by rotating the area enclosed by the curve y = x- x and the line y = 0. dy 51. Solve, in the form y = f(x), the differential equation (x+1) 1-y, given that: y =- 3 when %3D dx find h[f(x)] and sketch its curve, showing clearly the x+2 4x+3 x= 0. Given also that h(x) = points at which the curve cut the coordinate axis and the behavior of the curve near its asymptotes. 52. The table below shows corresponding values of x and y which approximately satisfy a relation of the form: y = ab* where a and b are constants. One value of y is incorrect. By drawing a suitable linear graph determine the incorrect value of y and estimate the values of a and b correct to one decimal place. X 3 4 5 6. Y 13.6 27.2 54.4 180.8 217.6 dy 2(x-1) 53. Given that (x- x)= y, and that y= 1 when x = 2, show that y= dx
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