In order to measure the flow rate of water coming out of a tap, you can place a bucket under the tap and measure the volume in the bucket as a function of time. The tabulated date given below represents the volume of the water as a function of time. Use the centered-difference formula to estimate the flow rate at t equals 4.5

time 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6
volume 0 2 5 9 14 20 27 35 44 54 65 77 90

The flow rate at t=4.5 is approximately 11.

Step-by-step explanation:

We have tabulated data that relates volume V with time t.

We are asked to determine the rate of flow (variation of volume in time, first derivative dV/dt) at t=4.5.

The centered-difference formula let us calculate an approximation of the first derivative of a function at a specific point, from the values of the function:

The value of x in this case is 4.5, as it is the point in which we want to calculate the rate of flow.

The value of h is the step used in the table. In this case, h=0.5.

Then the values we need from the function are:

We now can calculate the first derivative approximation with the centered-difference formula

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d