EBK SINGLE VARIABLE CALCULUS: EARLY TRA
8th Edition
ISBN: 9780176743826
Author: Stewart
Publisher: VST
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Textbook Question
Chapter G, Problem 4E
(a) By comparing areas, show that ln 2 < 1 < ln 3.
(b) Deduce that 2 < e < 3.
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Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Chapter G Solutions
EBK SINGLE VARIABLE CALCULUS: EARLY TRA
Ch. G - Prob. 1ECh. G - Refer to Example 1. (a) Find the equation of the...Ch. G - By comparing areas, show that...Ch. G - (a) By comparing areas, show that ln 2 1 ln 3....Ch. G - Prob. 5ECh. G - Prob. 6ECh. G - Prove the third law of exponents for ex [see...Ch. G - Prove the second law of exponents [see (15)].Ch. G - Prove the fourth law of exponents [see (15)].Ch. G - Prob. 10E
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