Question

PLS HELP CALCULUS MORE COMING PLS PLS PLS I NEED TO PASS

Answer 1

`\displaystyle\int_0^5R(t)\,\mathrm dt\approx\sum_(i=1)^4\frac{R(t_i)+R(t_(i-1))}2\Delta t_i`

where
`t_0=0,t_1=1,t_2=2,t_3=4,t_4=5`, and we define
`\Delta t_i=t_i-t_(i-1)` for
`i\ge1`. The sum is adding up the areas of several trapezoids, each with dimensions determined by the values of
`t_i` and
`R(t_i)`. (See the picture below)

So the number of deliveries made is approximately


`\displaystyle\frac{(250+100)(1-0)+(200+250)(2-1)+(350+200)(4-2)+(100+350)(5-4)}2=1175`