Algebra And Trigonometry (11th Edition)
11th Edition
ISBN: 9780135163078
Author: Michael Sullivan
Publisher: PEARSON
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Question
Chapter 6.8, Problem 13AYU
a.
To determine
The time when the temperature of the pizza would be
b.
To determine
The time that need to elapse before the temperature of pizza is
c.
To determine
To explain: The change in the temperature of pizza.
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Check out a sample textbook solutionStudents have asked these similar questions
Let
2
A =
4
3
-4
0
1
(a) Show that v =
eigenvalue.
()
is an eigenvector of A and find the corresponding
(b) Find the characteristic polynomial of A and factorise it. Hint: the answer to (a)
may be useful.
(c) Determine all eigenvalues of A and find bases for the corresponding eigenspaces.
(d) Find an invertible matrix P and a diagonal matrix D such that P-¹AP = D.
(c) Let
6
0 0
A =
-10 4 8
5 1 2
(i) Find the characteristic polynomial of A and factorise it.
(ii) Determine all eigenvalues of A and find bases for the corresponding
eigenspaces.
(iii) Is A diagonalisable? Give reasons for your answer.
most 2, and let
Let P2 denote the vector space of polynomials of degree at
D: P2➡ P2
be the transformation that sends a polynomial p(t) = at² + bt+c in P2 to its derivative
p'(t)
2at+b, that is,
D(p) = p'.
(a) Prove that D is a linear transformation.
(b) Find a basis for the kernel ker(D) of the linear transformation D and compute its
nullity.
(c) Find a basis for the image im(D) of the linear transformation D and compute its
rank.
(d) Verify that the Rank-Nullity Theorem holds for the linear transformation D.
(e) Find the matrix representation of D in the standard basis (1,t, t2) of P2.
Chapter 6 Solutions
Algebra And Trigonometry (11th Edition)
Ch. 6.1 - Prob. 1AYUCh. 6.1 - Prob. 2AYUCh. 6.1 - Prob. 3AYUCh. 6.1 - Prob. 4AYUCh. 6.1 - Prob. 5AYUCh. 6.1 - Prob. 6AYUCh. 6.1 - Prob. 7AYUCh. 6.1 - Prob. 8AYUCh. 6.1 - Prob. 9AYUCh. 6.1 - Prob. 10AYU
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Prob. 78AYUCh. 6.5 - Prob. 79AYUCh. 6.5 - Prob. 80AYUCh. 6.5 - Prob. 81AYUCh. 6.5 - Prob. 82AYUCh. 6.5 - Prob. 83AYUCh. 6.5 - Prob. 84AYUCh. 6.5 - Prob. 85AYUCh. 6.5 - Prob. 86AYUCh. 6.5 - Prob. 87AYUCh. 6.5 - Prob. 88AYUCh. 6.5 - Prob. 89AYUCh. 6.5 - Prob. 90AYUCh. 6.5 - Prob. 91AYUCh. 6.5 - Prob. 92AYUCh. 6.5 - Prob. 93AYUCh. 6.5 - Prob. 94AYUCh. 6.5 - Prob. 95AYUCh. 6.5 - Prob. 96AYUCh. 6.5 - Prob. 97AYUCh. 6.5 - Prob. 98AYUCh. 6.5 - Prob. 99AYUCh. 6.5 - Prob. 100AYUCh. 6.5 - Prob. 101AYUCh. 6.5 - Prob. 102AYUCh. 6.5 - Prob. 103AYUCh. 6.5 - Prob. 104AYUCh. 6.5 - Prob. 105AYUCh. 6.5 - Prob. 106AYUCh. 6.5 - Prob. 107AYUCh. 6.5 - Prob. 108AYUCh. 6.5 - Prob. 109AYUCh. 6.5 - Prob. 110AYUCh. 6.5 - Prob. 111AYUCh. 6.5 - Prob. 112AYUCh. 6.5 - Prob. 113AYUCh. 6.5 - Prob. 114AYUCh. 6.5 - Prob. 115AYUCh. 6.5 - Prob. 116AYUCh. 6.5 - Prob. 117AYUCh. 6.5 - Prob. 118AYUCh. 6.5 - Prob. 119AYUCh. 6.5 - Prob. 120AYUCh. 6.5 - Prob. 121AYUCh. 6.5 - Prob. 122AYUCh. 6.5 - Prob. 123AYUCh. 6.5 - Prob. 124AYUCh. 6.5 - Prob. 125AYUCh. 6.5 - Prob. 126AYUCh. 6.5 - Prob. 127AYUCh. 6.5 - Prob. 128AYUCh. 6.6 - Prob. 1AYUCh. 6.6 - Prob. 2AYUCh. 6.6 - Prob. 3AYUCh. 6.6 - Prob. 4AYUCh. 6.6 - Prob. 5AYUCh. 6.6 - Prob. 6AYUCh. 6.6 - Prob. 7AYUCh. 6.6 - Prob. 8AYUCh. 6.6 - Prob. 9AYUCh. 6.6 - Prob. 10AYUCh. 6.6 - Prob. 11AYUCh. 6.6 - Prob. 12AYUCh. 6.6 - Prob. 13AYUCh. 6.6 - Prob. 14AYUCh. 6.6 - Prob. 15AYUCh. 6.6 - Prob. 16AYUCh. 6.6 - Prob. 17AYUCh. 6.6 - Prob. 18AYUCh. 6.6 - Prob. 19AYUCh. 6.6 - Prob. 20AYUCh. 6.6 - Prob. 21AYUCh. 6.6 - Prob. 22AYUCh. 6.6 - Prob. 23AYUCh. 6.6 - Prob. 24AYUCh. 6.6 - Prob. 25AYUCh. 6.6 - Prob. 26AYUCh. 6.6 - Prob. 27AYUCh. 6.6 - Prob. 28AYUCh. 6.6 - Prob. 29AYUCh. 6.6 - Prob. 30AYUCh. 6.6 - Prob. 31AYUCh. 6.6 - Prob. 32AYUCh. 6.6 - Prob. 33AYUCh. 6.6 - Prob. 34AYUCh. 6.6 - Prob. 35AYUCh. 6.6 - Prob. 36AYUCh. 6.6 - Prob. 37AYUCh. 6.6 - Prob. 38AYUCh. 6.6 - Prob. 39AYUCh. 6.6 - Prob. 40AYUCh. 6.6 - Prob. 41AYUCh. 6.6 - Prob. 42AYUCh. 6.6 - Prob. 43AYUCh. 6.6 - Prob. 44AYUCh. 6.6 - Prob. 45AYUCh. 6.6 - Prob. 46AYUCh. 6.6 - Prob. 47AYUCh. 6.6 - Prob. 48AYUCh. 6.6 - Prob. 49AYUCh. 6.6 - Prob. 50AYUCh. 6.6 - Prob. 51AYUCh. 6.6 - Prob. 52AYUCh. 6.6 - Prob. 53AYUCh. 6.6 - Prob. 54AYUCh. 6.6 - Prob. 55AYUCh. 6.6 - Prob. 56AYUCh. 6.6 - Prob. 57AYUCh. 6.6 - Prob. 58AYUCh. 6.6 - Prob. 59AYUCh. 6.6 - Prob. 60AYUCh. 6.6 - Prob. 61AYUCh. 6.6 - Prob. 62AYUCh. 6.6 - Prob. 63AYUCh. 6.6 - Prob. 64AYUCh. 6.6 - Prob. 65AYUCh. 6.6 - Prob. 66AYUCh. 6.6 - Prob. 67AYUCh. 6.6 - Prob. 68AYUCh. 6.6 - Prob. 69AYUCh. 6.6 - Prob. 70AYUCh. 6.6 - Prob. 71AYUCh. 6.6 - Prob. 72AYUCh. 6.6 - Prob. 73AYUCh. 6.6 - Prob. 74AYUCh. 6.6 - Prob. 75AYUCh. 6.6 - Prob. 76AYUCh. 6.6 - Prob. 77AYUCh. 6.6 - Prob. 78AYUCh. 6.6 - Prob. 79AYUCh. 6.6 - Prob. 80AYUCh. 6.6 - Prob. 81AYUCh. 6.6 - Prob. 82AYUCh. 6.6 - Prob. 83AYUCh. 6.6 - Prob. 84AYUCh. 6.6 - Prob. 85AYUCh. 6.6 - Prob. 86AYUCh. 6.6 - Prob. 87AYUCh. 6.6 - Prob. 88AYUCh. 6.6 - Prob. 89AYUCh. 6.6 - Prob. 90AYUCh. 6.6 - Prob. 91AYUCh. 6.6 - Prob. 92AYUCh. 6.6 - Prob. 93AYUCh. 6.6 - Prob. 94AYUCh. 6.6 - Prob. 95AYUCh. 6.6 - Prob. 96AYUCh. 6.6 - Prob. 97AYUCh. 6.6 - Prob. 98AYUCh. 6.6 - Prob. 99AYUCh. 6.6 - Prob. 100AYUCh. 6.6 - Prob. 101AYUCh. 6.6 - Prob. 102AYUCh. 6.6 - Prob. 103AYUCh. 6.6 - Prob. 104AYUCh. 6.6 - Prob. 105AYUCh. 6.6 - Prob. 106AYUCh. 6.6 - Prob. 107AYUCh. 6.6 - Prob. 108AYUCh. 6.6 - Prob. 109AYUCh. 6.6 - Prob. 110AYUCh. 6.6 - Prob. 111AYUCh. 6.6 - Prob. 112AYUCh. 6.6 - Prob. 113AYUCh. 6.6 - Prob. 114AYUCh. 6.6 - Prob. 115AYUCh. 6.6 - Prob. 116AYUCh. 6.7 - Prob. 1AYUCh. 6.7 - Prob. 2AYUCh. 6.7 - Prob. 3AYUCh. 6.7 - Prob. 4AYUCh. 6.7 - Prob. 5AYUCh. 6.7 - Prob. 6AYUCh. 6.7 - Prob. 7AYUCh. 6.7 - Prob. 8AYUCh. 6.7 - Prob. 9AYUCh. 6.7 - Prob. 10AYUCh. 6.7 - Prob. 11AYUCh. 6.7 - Prob. 12AYUCh. 6.7 - Prob. 13AYUCh. 6.7 - Prob. 14AYUCh. 6.7 - Prob. 15AYUCh. 6.7 - Prob. 16AYUCh. 6.7 - Prob. 17AYUCh. 6.7 - Prob. 18AYUCh. 6.7 - Prob. 19AYUCh. 6.7 - Prob. 20AYUCh. 6.7 - Prob. 21AYUCh. 6.7 - Prob. 22AYUCh. 6.7 - Prob. 23AYUCh. 6.7 - Prob. 24AYUCh. 6.7 - Prob. 25AYUCh. 6.7 - Prob. 26AYUCh. 6.7 - Prob. 27AYUCh. 6.7 - Prob. 28AYUCh. 6.7 - Prob. 29AYUCh. 6.7 - Prob. 30AYUCh. 6.7 - Prob. 31AYUCh. 6.7 - Prob. 32AYUCh. 6.7 - Prob. 33AYUCh. 6.7 - Prob. 34AYUCh. 6.7 - Prob. 35AYUCh. 6.7 - Prob. 36AYUCh. 6.7 - Prob. 37AYUCh. 6.7 - Prob. 38AYUCh. 6.7 - Prob. 39AYUCh. 6.7 - Prob. 40AYUCh. 6.7 - Prob. 41AYUCh. 6.7 - Prob. 42AYUCh. 6.7 - Prob. 43AYUCh. 6.7 - Prob. 44AYUCh. 6.7 - Prob. 45AYUCh. 6.7 - Prob. 46AYUCh. 6.7 - Prob. 47AYUCh. 6.7 - Prob. 48AYUCh. 6.7 - Prob. 49AYUCh. 6.7 - Prob. 50AYUCh. 6.7 - Prob. 51AYUCh. 6.7 - Prob. 52AYUCh. 6.7 - Prob. 53AYUCh. 6.7 - Prob. 54AYUCh. 6.7 - Prob. 55AYUCh. 6.7 - Prob. 56AYUCh. 6.7 - Prob. 57AYUCh. 6.7 - Prob. 58AYUCh. 6.7 - Prob. 59AYUCh. 6.7 - Prob. 60AYUCh. 6.7 - Prob. 61AYUCh. 6.7 - Prob. 62AYUCh. 6.7 - Prob. 63AYUCh. 6.7 - Prob. 64AYUCh. 6.7 - Prob. 65AYUCh. 6.7 - Prob. 66AYUCh. 6.7 - Prob. 67AYUCh. 6.7 - Prob. 68AYUCh. 6.7 - Prob. 69AYUCh. 6.7 - Prob. 70AYUCh. 6.7 - Prob. 71AYUCh. 6.7 - Prob. 72AYUCh. 6.7 - Prob. 73AYUCh. 6.7 - Prob. 74AYUCh. 6.7 - Prob. 75AYUCh. 6.7 - Prob. 76AYUCh. 6.7 - Prob. 77AYUCh. 6.7 - Prob. 78AYUCh. 6.7 - Prob. 79AYUCh. 6.7 - Prob. 80AYUCh. 6.7 - Prob. 81AYUCh. 6.7 - Prob. 82AYUCh. 6.7 - Prob. 83AYUCh. 6.7 - Prob. 84AYUCh. 6.7 - Prob. 85AYUCh. 6.8 - Growth of an Insect Population The size P of a...Ch. 6.8 - Prob. 2AYUCh. 6.8 - Prob. 3AYUCh. 6.8 - Prob. 4AYUCh. 6.8 - Prob. 5AYUCh. 6.8 - Prob. 6AYUCh. 6.8 - Prob. 7AYUCh. 6.8 - Prob. 8AYUCh. 6.8 - Prob. 9AYUCh. 6.8 - Prob. 10AYUCh. 6.8 - Prob. 11AYUCh. 6.8 - Prob. 12AYUCh. 6.8 - Prob. 13AYUCh. 6.8 - Prob. 14AYUCh. 6.8 - Prob. 15AYUCh. 6.8 - Prob. 16AYUCh. 6.8 - Prob. 17AYUCh. 6.8 - Prob. 18AYUCh. 6.8 - Prob. 19AYUCh. 6.8 - Prob. 20AYUCh. 6.8 - Prob. 21AYUCh. 6.8 - Prob. 22AYUCh. 6.8 - Prob. 23AYUCh. 6.8 - Prob. 24AYUCh. 6.8 - Prob. 25AYUCh. 6.8 - Prob. 26AYUCh. 6.8 - Prob. 27AYUCh. 6.8 - Prob. 28AYUCh. 6.8 - Prob. 29AYUCh. 6.8 - Prob. 30AYUCh. 6.8 - Prob. 31AYUCh. 6.8 - Prob. 32AYUCh. 6.8 - Prob. 33AYUCh. 6.8 - Prob. 34AYUCh. 6.8 - Prob. 35AYUCh. 6.8 - Prob. 36AYUCh. 6.8 - Prob. 37AYUCh. 6.8 - Prob. 38AYUCh. 6.8 - Prob. 39AYUCh. 6.8 - Prob. 40AYUCh. 6.9 - Prob. 1AYUCh. 6.9 - Prob. 2AYUCh. 6.9 - Prob. 3AYUCh. 6.9 - Prob. 4AYUCh. 6.9 - Prob. 5AYUCh. 6.9 - Prob. 6AYUCh. 6.9 - Prob. 7AYUCh. 6.9 - Prob. 8AYUCh. 6.9 - Prob. 9AYUCh. 6.9 - Prob. 10AYUCh. 6.9 - Prob. 11AYUCh. 6.9 - Prob. 12AYUCh. 6.9 - Prob. 13AYUCh. 6.9 - Prob. 14AYUCh. 6.9 - Prob. 15AYUCh. 6.9 - Prob. 16AYUCh. 6.9 - Prob. 17AYUCh. 6.9 - Prob. 18AYUCh. 6.9 - Prob. 19AYUCh. 6.9 - Prob. 20AYUCh. 6.9 - Prob. 21AYUCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - Prob. 11CTCh. 6 - Prob. 12CTCh. 6 - Prob. 13CTCh. 6 - Prob. 14CTCh. 6 - Prob. 15CTCh. 6 - Prob. 16CTCh. 6 - Prob. 17CTCh. 6 - Prob. 18CTCh. 6 - Prob. 19CTCh. 6 - Prob. 20CTCh. 6 - Prob. 21CTCh. 6 - Prob. 22CTCh. 6 - Prob. 23CTCh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Prob. 3CRCh. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Prob. 9CRCh. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 15CR
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