round answers to three decimal places. area of 1st rectangle = 0.032 area of 2nd rectangle = 25 × f(675) =…

round answers to three decimal places. area of 1st rectangle = 0.032 area of 2nd rectangle = 25 × f(675) = 25 × 0.000863 = area of 3rd rectangle = area of 4th rectangle = area of 5th rectangle = area of 6th rectangle = total area = calculate the overestimate of the regions area. x f(x) 650 0.001295 675 0.000863 700 0.00054 725 0.000317 750 0.000175 775 0.000091

round answers to three decimal places. area of 1st rectangle = 0.032 area of 2nd rectangle = 25 × f(675) = 25 × 0.000863 = area of 3rd rectangle = area of 4th rectangle = area of 5th rectangle = area of 6th rectangle = total area = calculate the overestimate of the regions area. x f(x) 650 0.001295 675 0.000863 700 0.00054 725 0.000317 750 0.000175 775 0.000091

Answer

Explanation:

Step1: Calculate area of 2nd rectangle

$25\times0.000863 = 0.021575$

Step2: Calculate area of 3rd rectangle

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

Step3: Calculate area of 4th rectangle

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

Step4: Calculate area of 5th rectangle

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

Step5: Calculate area of 6th rectangle

$25\times f(775)=25\times0.000091 = 0.002275$

Step6: Calculate total area

$0.032+0.021575 + 0.0135+0.007925+0.004375+0.002275=0.08165$

Answer:

$0.082$ (rounded to three decimal - places)