Use the Right Endpoint approximation method to approximate the area under the graph of the function f(z) = 4e-2= over the interval [ – 4, 3]. Use 7 rectangles. Start by filling out the following table: f(x;) f(z;)Az 1 2 6 7 3 Use the table to compute the approximate area (remember to be careful about rounding). Area = 3. 4.

Find the surface area of a sphere of radius 5 by rotating the graph OI the function x2 between x = -5 and x = 5 about the x-axis. |

Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. Enter your answer in exact form or as a decimal number rounded to the nearest thousandth. 2 f(x) = ; [5,7] 4x-6

Let f(x) = 9 + 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x = -1 and x = 2 using three rectangles and a right endpoints. R3 = Improve your estimate by using six rectangles. R6 = Sketch the curve and the approximating rectangles for R2. y y y y 15 15 15 15 10 10- 10 10 5 5 5 X 0-1 1 1 O-1 1 2 D-1 1 2 Sketch the curve and the approximating rectangles for Rg. y y y 15 15 15 15 10 10 10 10 5 5 5 2 O0-1 -0.5 0.5 1 1.5 -0.5 0.5 1 1.5 2 @O-1 -0.5 O-1 0.5 1.5 2 -1 -0.5 0.5 1 1.5 2