Construct an image giving the left, right, midpoint Riemann sums, and the trapezoidal approximations. Each one of these you will have to create a table and use the values from the table to give the area
approximiation.
Lastly you will give the exact area using the fundamental theorem of calculus. You must show all work
for the calculations and give the decimal approximations (to 3 decimal places if appropriate).

1 and 2

step-by-step explanation:

4x and 6y

im not sure though

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step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: