1. Use a trapezoidal sum with the four sub-intervals indicated by the data in the table to estimate the definite integral from 0 to 8 of R(t)dt. Using correct units, explain the meaning of your answer in terms of water flow. Give 3 decimal places in your answer.

2. Is there some time t, 0 < t < 8, such that R′(t) = 0? Justify your answer.

3. The rate of water flow R(t) can be estimated by W(t) = ln(t^2 + 7). Use W(t) to approximate the average rate of water flow during the 8-hour time period. Indicate units of measure.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

is there supposed to be a diagram or a graph for this one? ?

step-by-step explanation:

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5