round answers to three decimal places. calculate the underestimate of the regions area. area of 1st…

round answers to three decimal places. calculate the underestimate of the regions area. area of 1st rectangle =0.022 area of 2nd rectangle = area of 3rd rectangle = area of 4th rectangle = area of 5th rectangle = area of 6th rectangle = total area = done

round answers to three decimal places. calculate the underestimate of the regions area. area of 1st rectangle =0.022 area of 2nd rectangle = area of 3rd rectangle = area of 4th rectangle = area of 5th rectangle = area of 6th rectangle = total area = done

Answer

Answer:

Area of 2nd rectangle: 0.0135 Area of 3rd rectangle: 0.007925 Area of 4th rectangle: 0.004375 Area of 5th rectangle: 0.0023125 Area of 6th rectangle: 0.0011375 Total area: 0.05157

Explanation:

Step1: Determine width of rectangles

The width $\Delta x$ between consecutive $x -$ values is $700 - 675=25$.

Step2: Calculate area of 2nd rectangle

Area = $\Delta x\times f(700)=25\times0.00054 = 0.0135$.

Step3: Calculate area of 3rd rectangle

Area = $\Delta x\times f(725)=25\times0.000317 = 0.007925$.

Step4: Calculate area of 4th rectangle

Area = $\Delta x\times f(750)=25\times0.000175 = 0.004375$.

Step5: Calculate area of 5th rectangle

Area = $\Delta x\times f(775)=25\times0.000091 = 0.0023125$.

Step6: Calculate area of 6th rectangle

Area = $\Delta x\times f(800)=25\times0.000044 = 0.0011375$.

Step7: Calculate total area

Total area = $0.022 + 0.0135+0.007925 + 0.004375+0.0023125+0.0011375=0.05157$.