The department of water resources is measuring the width of a flood plain, as shown by f(x). The water measurements (x) are taken in 15 foot increments as shown in the table below:

x: 0 | 15 | 30 | 45 | 60 | 75 | 90 | 105 | 120 |
f(x): 0 | 18 | 24 | 30 | 34 | 28 | 32 | 18 | 9 |

Use the indicated method and n = 4 to estimate the limit of f(x) dx with upper bound 120 and lower bound 0.

a. left hand approximation

b. right hand approximation

c. midpoint approximation

i dont know nkw

step-by-step explanation:

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168

step-by-step explanation:

i am pretty sure that the answer is 168

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.