QOowing he top fight corner of each rectangle at the(b) Repeat part (a) using a left endpoints.L3 =L6 =Sketch the curve and the approximating rectangles for L3.yyy1515151510101010The x y coordinate plane is given with a curve and 3rectangles underg The curve enters the window in thesecond quadrant, goes down and right becoming lesssteep, changes direction at the point (0, 9), goes up andright becoming more steep, and exits the window in thefirst quadrant. The region under the curve from x = -to x = 2 is divided into 3 subregions, each of whichbecomes the base of a rectangle with width 1. The curve55522.O0-1O-11points. (0, 9) (1, 11) (2, 17)1O0-11Sketch the curve and the approximating rectangles for L6:yyy15151515101010105555X2O0-1o-1-0.50.511.5-0.50.511.5O0-1-0.50.511.52G0-1-0.50.511.52(c) Repeat part (a) using a midpoints.M3 =M6 = 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.yyyy151515151010-1010555X0-111O-112D-112Sketch the curve and the approximating rectangles for Rg.yyy15151515101010105552O0-1-0.50.511.5-0.50.511.52@O-1-0.5O-10.51.52-1-0.50.511.52

According to question given that f(x)=9+2x2, x=-1, x=2

(b) Repeat part (a) using a left endpoints. L3= Sketch the curve and the approximating rectangles for La . y y y 15 15 15 15 10 10 10 10 he x y coordinate plane is given with a curve and 3 ectangles underg The curve enters the window in the econd quadrant, oes down and right becoming less teep, changes direction at the point (0, 9), goes up and ght becoming more steep, and exits the window in the rst quadrant. The region under the curve from x ox= 2 is dividednto 3 subregions, each of which ecomes the base of a rectangle with width 1. The curve esects the top ight corner of eagh rectangle at the Q0Tdiowing points. (0, 9) (1, 11) (2, 15) 0-1 D0-1 D0-1 Sketch the curve and the approximating rectangles for Le y 15 15 15 15 10 10 10 10 o-1 -0.5 0.5 1 1.5 -0.5 D0-1 0.5 1.5 -0.5 00-1 0.5 1 1.5 2 -0.5 0.5 1 D0-1 1.5 (c) Repeat part (a) using a midpoints. M3 -

(b) Repeat part (a) using a left endpoints. L3= Sketch the curve and the approximating rectangles for La . y y y 15 15 15 15 10 10 10 10 he x y coordinate plane is given with a curve and 3 ectangles underg The curve enters the window in the econd quadrant, oes down and right becoming less teep, changes direction at the point (0, 9), goes up and ght becoming more steep, and exits the window in the rst quadrant. The region under the curve from x ox= 2 is dividednto 3 subregions, each of which ecomes the base of a rectangle with width 1. The curve esects the top ight corner of eagh rectangle at the Q0Tdiowing points. (0, 9) (1, 11) (2, 15) 0-1 D0-1 D0-1 Sketch the curve and the approximating rectangles for Le y 15 15 15 15 10 10 10 10 o-1 -0.5 0.5 1 1.5 -0.5 D0-1 0.5 1.5 -0.5 00-1 0.5 1 1.5 2 -0.5 0.5 1 D0-1 1.5 (c) Repeat part (a) using a midpoints. M3 -

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

QOowing he top fight corner of each rectangle at the
(b) Repeat part (a) using a left endpoints.
L3 =
L6 =
Sketch the curve and the approximating rectangles for L3.
y
y
y
15
15
15
15
10
10
10
10
The x y coordinate plane is given with a curve and 3
rectangles underg The curve enters the window in the
second quadrant, goes down and right becoming less
steep, changes direction at the point (0, 9), goes up and
right becoming more steep, and exits the window in the
first quadrant. The region under the curve from x = -
to x = 2 is divided into 3 subregions, each of which
becomes the base of a rectangle with width 1. The curve
5
5
5
2
2.
O0-1
O-1
1
points. (0, 9) (1, 11) (2, 17)
1
O0-1
1
Sketch the curve and the approximating rectangles for L6:
y
y
y
15
15
15
15
10
10
10
10
5
5
5
5
X
2
O0-1
o-1
-0.5
0.5
1
1.5
-0.5
0.5
1
1.5
O0-1
-0.5
0.5
1
1.5
2
G0-1
-0.5
0.5
1
1.5
2
(c) Repeat part (a) using a midpoints.
M3 =
M6 =

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

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