Question

Use four rectangles to estimate the area between the graph of the function f(x) = Ty and the taxis on the interval 12, 6) using the left endpointsof the subintervals as the sample points. Write the exact answer, Do not round,

Answer 1

To find the area using four rectangles, we will use the following equation:

`Area\approx A_1_{}+A_2+A_3+A_4`
`Area\approx f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x+f(x_4)\Delta x`
`Area\approx f(3)\Delta x+f(4)\Delta x+f(5)\Delta x+f(6)\Delta x`
`Area\approx((6)/(7(3)))(1)+((6)/(7(4)))(1)+((6)/(7(5)))(1)+((6)/(7(6)))(1)`
`Area\approx(57)/(70)`