Writing a Limit as a Definite Integral In Exercises 11-14, write the limit as a definite integral on the given interval, where c i is any point in the ith subinterval. lim ‖ Δ ‖ → 0 ∑ i = 1 n ( 3 c i + 10 ) Δ x i , [ − 1 , 5 ]
Writing a Limit as a Definite Integral In Exercises 11-14, write the limit as a definite integral on the given interval, where c i is any point in the ith subinterval. lim ‖ Δ ‖ → 0 ∑ i = 1 n ( 3 c i + 10 ) Δ x i , [ − 1 , 5 ]
Solution Summary: The author explains the formula used to calculate the definite integral of f(x).
Writing a Limit as a Definite Integral In Exercises 11-14, write the limit as a definite integral on the given interval, where
c
i
is any point in the ith subinterval.
lim
‖
Δ
‖
→
0
∑
i
=
1
n
(
3
c
i
+
10
)
Δ
x
i
,
[
−
1
,
5
]
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
The graph of f(x) is given in the figure below. draw tangent lines to the graph at x=-3,x=-2,x=1,and x=4. estimate f'(-3),f'(-2),f'(1),and f'(4). Round your answers to one decimal place.
Consider the functions f(x)=4x-1 and g(x)=sq root of -x+7. Determine
1. f o g(x)
2. Give the domain of f o g(x)
3. g o f (x)
4. Give the domain of g o f(x)
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