In Problems 1 − 8, use geometric formulas to find the area between the graphs of y = f ( x ) and y = g ( x ) over the indicated interval . (If necessary, see the endpapers at the back of the book.) 8 . f ( x ) = 16 − x 2 , g ( x ) = | x | ; [ − 2 2 , 2 2 ]
In Problems 1 − 8, use geometric formulas to find the area between the graphs of y = f ( x ) and y = g ( x ) over the indicated interval . (If necessary, see the endpapers at the back of the book.) 8 . f ( x ) = 16 − x 2 , g ( x ) = | x | ; [ − 2 2 , 2 2 ]
Solution Summary: The author explains how to find the area between the graphs of f(x)=sqrt16-x
In Problems 1−8, use geometric formulas to find the area between the graphs of y = f(x) and y = g(x) over the indicated interval. (If necessary, see the endpapers at the back of the book.)
8.
f
(
x
)
=
16
−
x
2
,
g
(
x
)
=
|
x
|
;
[
−
2
2
,
2
2
]
Find the exact values of sin(2u), cos(2u), and tan(2u) given
2
COS u
where д < u < π.
2
(1) Let R be a field of real numbers and X=R³, X is a vector space over R, let
M={(a,b,c)/ a,b,cE R,a+b=3-c}, show that whether M is a hyperplane of X
or not (not by definition).
متکاری
Xn-XKE
11Xn-
Xmit
(2) Show that every converge sequence in a normed space is Cauchy sequence but
the converse need not to be true.
EK
2x7
(3) Write the definition of continuous map between two normed spaces and write
with prove the equivalent statement to definition.
(4) Let be a subset of a normed space X over a field F, show that A is bounded set iff
for any sequence in A and any sequence in F converge to zero the
sequence converge to zero in F.
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Establish the identity.
1 + cos u
1 - cos u
1 - cos u
1 + cos u
= 4 cot u csc u
Chapter 6 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY