Suppose g is a continuous function on the interval [-3, 6] whose graph is given in the figure on the left below. 4 4 2 2 1 1 -3 -2 -1 1 2 3 4 6. -3 -2 -1 1 2 -1. -1 y = g(x), y =8(x), -2 a) interval [-3, 6], with n= 3. In the figure to the right above, sketch the rectangles corresponding to LEFT Riemann sum of g on the b) Find the value of the LEFT Riemann sum of g on to the interval [-3,6], with n 3. VALUE : c) Find the value of the limit: lim g (x;) Ax on the interval [-3, 6]. n00 k=1 VALUE : Find the value of the definite integral: (4g(x) – 1) dx. (p

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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1) Suppose g is a continuous function on the interval [-3, 6] whose graph is given in the figure on the left below.
4
4
3
2
1
-3
-2
-1
2
3
4
6.
-3
-2
-1
1
2
3
4
6.
-1
y = g(x),
y = g(x)
In the figure to the right above, sketch the rectangles corresponding to LEFT Riemann sum of g on the
a)
interval [-3, 6], with
=
b)
Find the value of the LEFT Riemann sum of g on to the interval [-3, 6], with n = 3.
VALUE :
c)
Find the value of the limit: lim g (x%)Ax on the interval [-3, 6].
k=1
VALUE :
d)
Find the value of the definite integral:
(4g(x) – 1) dx.
VALUE :
Transcribed Image Text:1) Suppose g is a continuous function on the interval [-3, 6] whose graph is given in the figure on the left below. 4 4 3 2 1 -3 -2 -1 2 3 4 6. -3 -2 -1 1 2 3 4 6. -1 y = g(x), y = g(x) In the figure to the right above, sketch the rectangles corresponding to LEFT Riemann sum of g on the a) interval [-3, 6], with = b) Find the value of the LEFT Riemann sum of g on to the interval [-3, 6], with n = 3. VALUE : c) Find the value of the limit: lim g (x%)Ax on the interval [-3, 6]. k=1 VALUE : d) Find the value of the definite integral: (4g(x) – 1) dx. VALUE :
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