Basic Calculus

11) It is an approximate area of region, obtained by adding up the areas of multiple simplied slices of the region. - A. Riemann Sum B. Summation Notation C. Definite Integral D. Sum of Series 12) What polygons is used in Riemann sum? A. Rectangle B. Rhombus C. Trapezoid D. Triangle 13) There are three types of Riemann Sums. Which of the following Riemann Sums has the sum of the areas of rectangles whose heights are the functional values of the right endpoints in each subinterval? A. Endpoint B. Left C. Midpoint D. Right 14) There are three types of Riemann Sums. Which of the following Riemann Sums has the sum of the areas of rectangles whose heights are the functional values of the left endpoints in each subinterval? A. Endpoint B. Left C. Midpoint D. Right 15) There are three types of Riemann Sums. Which of the following Riemann Sums has the sum of the areas of rectangles whose heights are the functional values of the midpoint of the endpoints in each subinterval? A. Endpoint B. Left C. Midpoint D. Right For no. 6-10, consider the area under f (x) = x2 - 1, from x=0 to x=4. To nd the Riemann sums, the region is partitioned into 4 rectangles. 16) What are the end points of the left-handed Riemann sums? A. 0,123 B. 1,2,3,4 C. 0.5,1.5,2.5,3.5 D.0,0.5,1,1.5 17) What are the end points of the right-handed Riemann sums? A. 012,3 B. 1,2,3,4 C. O.5,1.5,2.5,3.5 0.0.0.5115 18) What are the end points of the Midpoint Riemann sums? A. 0,123 B. 123/! C. 0.5,1.5,2.5,3.5 D.D,0.5,1,1.5 19) What is the approximate area of the region using the endpoints of the lefthanded Reimann sum? A. 18 B. 24 C. 25.33 D. 34 20) What is the approximate area of the region using the endpoints of the right-handed Reimanh sum? A. 18 B. 24 C. 25.33 D. 34