ng Area

Next Problem

$(1$ point$)$

Suppose $f(x)=\frac{14}{x}.$

$($a$)$ The rectangles in the graph on the left illustrate a left endpoint Riemann sum for $f(x)$ on the interval $2x4.$ The value of this left endpoint Riemann sum is $$ and it is an overestimate of the area of the region enclosed by $y=f(x),$ the $x-$axis, and the vertical lines $x=2$ and $x=4.$

$($b$)$ The rectangles in the graph on the right illustrate a right endpoint Riemann sum for $f(x)$ on the interval $2x4.$ The value of this right endpoint Riemann sum is $$ and it is an underestimate of

$$ the area of the region enclosed by $y=f(x),$ the $x-$axis, and the vertical lines $x=2$ and $x=4.$

You have attempted this problem $31$ times. You have $4$ attempts left before new version will be requested. Your overall recorded score is $10\%.$

You have unlimited attempts remaining.