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

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

c

step-by-step explanation:

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

the answer is $4.45. i started by figuring out the cost of the plates and napkins. the easiest way to figure this cost out is through the tax. we know the way they found the tax is by multiplying the cost of non-food items by the tax rate (5% or 0.5). so, all we have to do to find the cost before tax is set up an equation and work this formula backwards. the equation is 0.19=0.05x where x is the cost of the plates and napkins. now all you do is divide both sides by 0.05 to come up with 3.8=x. now that we know the cost of the plates and napkins is $3.80, all we have to do is subtract this cost from the total cost of $8.25 giving us the cost of the watermelon which is $4.45.