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14a_M147_Notes_Ch6_1_220.notebook (c) Janice L. Epstein 1 April 16, 2014

(c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

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Page 1: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 1

April 16, 2014

Page 2: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 2

April 16, 2014

Page 3: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 3

April 16, 2014

Page 4: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 4

April 16, 2014

Page 5: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 5

April 16, 2014

Page 6: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 6

April 16, 2014

Page 7: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 7

April 16, 2014

Page 8: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 8

April 16, 2014

Page 9: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 9

April 16, 2014

Page 10: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 10

April 16, 2014

Page 11: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 11

April 16, 2014

Page 12: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 12

April 16, 2014

Page 13: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 13

April 16, 2014

Page 14: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 14

April 16, 2014

Page 15: (c) Janice L. Epstein 1janice.epstein/Math147/... · More generally, partition the interval [a,b as P = {a x x A subinterval [x , x has a width Ax x and the point is in that subinterval

14a_M147_Notes_Ch6_1_220.notebook

(c) Janice L. Epstein 15

April 16, 2014

From a 9" x 9" piece of cardboard square corners are cut out so the sides can be foldedup to form a box with no top.  Find x to maximize the volume.