EP USING+UNDERSTANDING MATH.-MYMATHLAB
6th Edition
ISBN: 9780321922205
Author: Bennett
Publisher: PEARSON CO
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Textbook Question
Chapter 9.C, Problem 15E
Review of logarithms. Use the skills coveted in the Brief Review on p. 542 to solve the following equations for the unknown quantity x. 11. \[{2^x} = 128\] 12. \[{10^x} = 23\] 13. \[{3^x} = 99\] 14. \[{5^{2x}} = 240\] 15. \[{7^{3x}} = 623\] 16. \[3 \times {4^x} = 180\] 17. \[{9^x} = 1748\] 18. \[{3^{x/4}} = 444\] 19. \[{\log _{10}}^x = 4\] 20. \[{\log _{10}}x = - 3\] 21. \[{\log _{10}}^x = 3.5\] 22. \[{\log _{10}}x = - 2.2\] 23. \[3{\log _{10}}x = 4.2\] 24. \[{\log _{10}}(3x) = 5.1\] 25. \[{\log _{10}}(4 + x) = 1.1\] 26. \[4{\log _{10}}(4x) = 4\]
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Q3: Define the linear functional J: H(2)
R by
1(v) = a(v. v) - L(v)
Let u be the unique weak solution to a(u,v) = L(v) in H() and suppose that
a(...) is a symmetric bilinear form on H(2) prove that
1- u is minimizer. 2- u is unique. 3- The minimizer J(u,) can be rewritten under
algebraic form
u Au-ub.
J(u)=u'Au-
Where A. b are repictively the stiffence matrix and the load vector
==
1. A separable differential equation can be written in the form hy) = g(a) where h(y) is a function of y
only, and g(x) is a function of r only.
All of the equations below are separable. Rewrite each of these in the form h(y) = g(x), then find
a general solution by integrating both sides. Determine whether the solutions you found are explicit
(functions) or implicit (curves but not functions)
(a) 1' = — 1/3
(b) y' =
=
---
Y
(c) y = x(1+ y²)
Chapter 9 Solutions
EP USING+UNDERSTANDING MATH.-MYMATHLAB
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Ch. 9.A - Prob. 1ECh. 9.A - Prob. 2ECh. 9.A - Prob. 3ECh. 9.A - Prob. 4ECh. 9.A - Prob. 5ECh. 9.A - Prob. 6ECh. 9.A - Prob. 7ECh. 9.A - 8. My mathematical model fits the data perfectly,...Ch. 9.A - Coordinate Plane Review. Use the skills covered in...Ch. 9.A - 9-10: Coordinate Plane Review. Use the skills...Ch. 9.A - Identifying Functions. In each of the following...Ch. 9.A - Prob. 12ECh. 9.A - Identifying Functions. In each of the following...Ch. 9.A - Identifying Functions. In each of the following...Ch. 9.A - Prob. 15ECh. 9.A - Prob. 16ECh. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - Prob. 18ECh. 9.A - Prob. 19ECh. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - 15-22: Related Quantities. Write a short statement...Ch. 9.A - 23. Pressure Function. Study Figure 9.6.
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