Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 2, Problem 81ES
To determine
To calculate: The height of the stack if eight boxes that are each
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What is the domain and range, thank you !!
Assume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where
u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v)
while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their
end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary
quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given
four corner-values.
=
=
=
Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with
Ma
=
1 0 0
-3
4-1
2 4 2
(Pv:ô
as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with
M₁
=
= (19)
0
to formulate p(u, v) using the "geometric input" G with
G
=
= (P(0,0%)
p(0,0) p(0,0.5) p(0,1)
) = ( 0.39
0.8 0.1 0.3
0.2 0.9 0.8
p(1,0) p(1, 0.5) p(1, 1)
See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a
height surface…
12. Suppose that a, b E R and a < b. Show that the vector space C[a, b] of all continuous complex
valued functions defined on [a, b], with supremum norm
is a Banach space.
Ilflloc:
=
sup f(t),
t€[a,b]
Chapter 2 Solutions
Business Math (11th Edition)
Ch. 2.1 - Prob. 1-1SCCh. 2.1 - Prob. 1-2SCCh. 2.1 - Prob. 1-3SCCh. 2.1 - Prob. 1-4SCCh. 2.1 - Prob. 1-5SCCh. 2.1 - Prob. 1-6SCCh. 2.1 - Prob. 2-1SCCh. 2.1 - Prob. 2-2SCCh. 2.1 - Prob. 2-3SCCh. 2.1 - Prob. 2-4SC
Ch. 2.1 - Prob. 2-5SCCh. 2.1 - Prob. 3-1SCCh. 2.1 - Prob. 3-2SCCh. 2.1 - Prob. 3-3SCCh. 2.1 - Prob. 3-4SCCh. 2.1 - Prob. 3-5SCCh. 2.1 - Prob. 4-1SCCh. 2.1 - Prob. 4-2SCCh. 2.1 - Prob. 4-3SCCh. 2.1 - Prob. 4-4SCCh. 2.1 - Prob. 4-5SCCh. 2.1 - Prob. 4-6SCCh. 2.1 - Prob. 4-7SCCh. 2.1 - Prob. 4-8SCCh. 2.1 - Prob. 5-1SCCh. 2.1 - Prob. 5-2SCCh. 2.1 - Prob. 5-3SCCh. 2.1 - Prob. 5-4SCCh. 2.1 - Prob. 5-5SCCh. 2.1 - Prob. 5-6SCCh. 2.1 - Prob. 1SECh. 2.1 - Prob. 2SECh. 2.1 - Prob. 3SECh. 2.1 - Prob. 4SECh. 2.1 - Prob. 5SECh. 2.1 - Prob. 6SECh. 2.1 - Prob. 7SECh. 2.1 - Prob. 8SECh. 2.1 - Prob. 9SECh. 2.1 - Prob. 10SECh. 2.1 - Prob. 11SECh. 2.1 - Prob. 12SECh. 2.1 - Prob. 13SECh. 2.1 - Prob. 14SECh. 2.1 - Prob. 15SECh. 2.1 - Prob. 16SECh. 2.1 - Prob. 17SECh. 2.1 - Prob. 18SECh. 2.1 - Prob. 19SECh. 2.1 - Prob. 20SECh. 2.1 - Prob. 21SECh. 2.1 - Prob. 22SECh. 2.1 - Prob. 23SECh. 2.1 - Prob. 24SECh. 2.1 - Prob. 25SECh. 2.1 - Prob. 26SECh. 2.1 - Prob. 27SECh. 2.1 - Prob. 28SECh. 2.1 - Prob. 29SECh. 2.1 - Prob. 30SECh. 2.1 - Prob. 31SECh. 2.1 - Prob. 32SECh. 2.1 - Prob. 33SECh. 2.1 - Prob. 34SECh. 2.1 - Prob. 35SECh. 2.1 - Prob. 36SECh. 2.1 - Prob. 37SECh. 2.1 - Prob. 38SECh. 2.2 - Prob. 1-1SCCh. 2.2 - Prob. 1-2SCCh. 2.2 - Prob. 1-3SCCh. 2.2 - Prob. 1-4SCCh. 2.2 - Prob. 1-5SCCh. 2.2 - Prob. 2-1SCCh. 2.2 - Prob. 2-2SCCh. 2.2 - Prob. 2-3SCCh. 2.2 - Prob. 2-4SCCh. 2.2 - Prob. 2-5SCCh. 2.2 - Prob. 3-1SCCh. 2.2 - Prob. 3-2SCCh. 2.2 - Prob. 3-3SCCh. 2.2 - Prob. 3-4SCCh. 2.2 - Prob. 3-5SCCh. 2.2 - Prob. 3-6SCCh. 2.2 - Prob. 4-1SCCh. 2.2 - Prob. 4-2SCCh. 2.2 - Prob. 4-3SCCh. 2.2 - Prob. 4-4SCCh. 2.2 - Prob. 4-5SCCh. 2.2 - Prob. 4-6SCCh. 2.2 - Prob. 4-7SCCh. 2.2 - Prob. 4-8SCCh. 2.2 - Prob. 4-9SCCh. 2.2 - Prob. 4-10SCCh. 2.2 - Prob. 1SECh. 2.2 - Prob. 2SECh. 2.2 - Prob. 3SECh. 2.2 - Prob. 4SECh. 2.2 - Prob. 5SECh. 2.2 - Prob. 6SECh. 2.2 - Prob. 7SECh. 2.2 - Prob. 8SECh. 2.2 - Prob. 9SECh. 2.2 - Prob. 10SECh. 2.2 - Prob. 11SECh. 2.2 - Prob. 12SECh. 2.2 - Prob. 13SECh. 2.2 - Prob. 14SECh. 2.2 - Prob. 15SECh. 2.2 - Prob. 16SECh. 2.2 - Prob. 17SECh. 2.2 - Prob. 18SECh. 2.2 - Prob. 19SECh. 2.2 - Prob. 20SECh. 2.2 - Prob. 21SECh. 2.2 - Prob. 22SECh. 2.2 - Prob. 23SECh. 2.2 - Prob. 24SECh. 2.2 - Prob. 25SECh. 2.2 - Prob. 26SECh. 2.2 - Prob. 27SECh. 2.2 - Prob. 28SECh. 2.2 - Prob. 29SECh. 2.2 - Prob. 30SECh. 2.3 - Prob. 1-1SCCh. 2.3 - Prob. 1-2SCCh. 2.3 - Prob. 1-3SCCh. 2.3 - Prob. 1-4SCCh. 2.3 - Prob. 1-5SCCh. 2.3 - Prob. 1-6SCCh. 2.3 - Prob. 1-7SCCh. 2.3 - Prob. 2-1SCCh. 2.3 - Prob. 2-2SCCh. 2.3 - Prob. 2-3SCCh. 2.3 - Prob. 2-4SCCh. 2.3 - Prob. 2-5SCCh. 2.3 - Prob. 2-6SCCh. 2.3 - Prob. 2-7SCCh. 2.3 - Prob. 1SECh. 2.3 - Prob. 2SECh. 2.3 - Prob. 3SECh. 2.3 - Prob. 4SECh. 2.3 - Prob. 5SECh. 2.3 - Prob. 6SECh. 2.3 - Prob. 7SECh. 2.3 - Prob. 8SECh. 2.3 - Prob. 9SECh. 2.3 - Prob. 10SECh. 2.3 - Prob. 11SECh. 2.3 - Prob. 12SECh. 2.3 - Prob. 13SECh. 2.3 - Prob. 14SECh. 2.3 - Prob. 15SECh. 2.3 - Prob. 16SECh. 2.3 - Prob. 17SECh. 2.3 - Prob. 18SECh. 2.3 - Prob. 19SECh. 2.3 - Prob. 20SECh. 2.3 - Prob. 21SECh. 2.3 - Prob. 22SECh. 2.3 - Prob. 23SECh. 2.3 - Prob. 24SECh. 2 - Prob. 1ESCh. 2 - Prob. 2ESCh. 2 - Prob. 3ESCh. 2 - Prob. 4ESCh. 2 - Prob. 5ESCh. 2 - Prob. 6ESCh. 2 - Prob. 7ESCh. 2 - Prob. 8ESCh. 2 - Prob. 9ESCh. 2 - Prob. 10ESCh. 2 - Prob. 11ESCh. 2 - Prob. 12ESCh. 2 - Prob. 13ESCh. 2 - Prob. 14ESCh. 2 - Prob. 15ESCh. 2 - Prob. 16ESCh. 2 - Prob. 17ESCh. 2 - Prob. 18ESCh. 2 - Prob. 19ESCh. 2 - Prob. 20ESCh. 2 - Prob. 21ESCh. 2 - Prob. 22ESCh. 2 - Prob. 23ESCh. 2 - Prob. 24ESCh. 2 - Prob. 25ESCh. 2 - Prob. 26ESCh. 2 - Prob. 27ESCh. 2 - Prob. 28ESCh. 2 - Prob. 29ESCh. 2 - Prob. 30ESCh. 2 - Prob. 31ESCh. 2 - Prob. 32ESCh. 2 - Prob. 33ESCh. 2 - Prob. 34ESCh. 2 - Prob. 35ESCh. 2 - Prob. 36ESCh. 2 - Prob. 37ESCh. 2 - Prob. 38ESCh. 2 - Prob. 39ESCh. 2 - Prob. 40ESCh. 2 - Prob. 41ESCh. 2 - Prob. 42ESCh. 2 - Prob. 43ESCh. 2 - Prob. 44ESCh. 2 - Prob. 45ESCh. 2 - Prob. 46ESCh. 2 - Prob. 47ESCh. 2 - Prob. 48ESCh. 2 - Prob. 49ESCh. 2 - Prob. 50ESCh. 2 - Prob. 51ESCh. 2 - Prob. 52ESCh. 2 - Prob. 53ESCh. 2 - Prob. 54ESCh. 2 - Prob. 55ESCh. 2 - Prob. 56ESCh. 2 - Prob. 57ESCh. 2 - Prob. 58ESCh. 2 - Prob. 59ESCh. 2 - Prob. 60ESCh. 2 - Prob. 61ESCh. 2 - Prob. 62ESCh. 2 - Prob. 63ESCh. 2 - Prob. 64ESCh. 2 - Prob. 65ESCh. 2 - Prob. 66ESCh. 2 - Prob. 67ESCh. 2 - Prob. 68ESCh. 2 - Prob. 69ESCh. 2 - Prob. 70ESCh. 2 - Prob. 71ESCh. 2 - Prob. 72ESCh. 2 - Prob. 73ESCh. 2 - Prob. 74ESCh. 2 - Prob. 75ESCh. 2 - Prob. 76ESCh. 2 - Prob. 78ESCh. 2 - Prob. 79ESCh. 2 - Prob. 80ESCh. 2 - Prob. 81ESCh. 2 - Prob. 82ESCh. 2 - Prob. 83ESCh. 2 - Prob. 84ESCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 21PTCh. 2 - Prob. 22PTCh. 2 - Prob. 23PTCh. 2 - Prob. 24PTCh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 10CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 1CPCh. 2 - Prob. 2CPCh. 2 - Prob. 1CS1Ch. 2 - Prob. 2CS1Ch. 2 - Prob. 3CS1Ch. 2 - Prob. 1CS2Ch. 2 - Prob. 2CS2Ch. 2 - Prob. 3CS2Ch. 2 - Prob. 4CS2
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