Translation for the image: 1. (a) Read the values from the graph given of , use five rectangles to find an estimation inferior and superior for the area under the graph given of , from to . In each case, draw the rectangles you use. (b) Find new estimations using ten rectangles in each case.

2. Use twelve rectangles to find an estimation for the area under 's graph from to .

For the next functions a) graph and use Riemann sum to determine the area under the curve described for said functions in the given intervals, for b) 10, c) 100, d) 1000, f) and infinite rectangles.
3. , interval
4. , interval
5. , interval

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

44

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.