DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Chapter E, Problem 37ES
(a)
To determine
The value of
(b)
To determine
The value of
(c)
To determine
The value of
(d)
To determine
The value of
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2. A tank with a capacity of 650 gal. originally contains 200 gal of water with 100 lb. of salt in
solution. Water containing 1 lb. of salt per gallon is entering at a rate of 4 gal/min, and the
mixture is allowed to flow out of the tank at a rate of 3 gal/min.
a. Find the amount of salt in the tank at any time prior to the instant when the tank
begins to overflow (650 gallons).
b. Find the concentration (in pounds per gallon) of salt in the tank when the tank hits
400 gallons.
D.E. for mixture problems:
dv
dt=11-12
dA
A(t)
dt
- Suppose that you have the differential equation:
dy
= (y - 2) (y+3)
dx
a. What are the equilibrium solutions for the differential equation?
b. Where is the differential equation increasing or decreasing? Show how you know.
Showing them on the drawing is not enough.
c. Where are the changes in concavity for the differential equation? Show how you
know. Showing them on the drawing is not enough.
d. Consider the slope field for the differential equation. Draw solution curves given the
following initial conditions:
i. y(0) = -5
ii. y(0) = -1
iii. y(0) = 2
Chapter E Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. E - Name each set using the roster method.
1. The set...Ch. E - Prob. 2DECh. E - Prob. 3DECh. E - Prob. 4DECh. E - Prob. 5DECh. E - Prob. 6DECh. E - Prob. 7DECh. E - Prob. 8DECh. E - Prob. 9DECh. E - Prob. 10DE
Ch. E - Prob. 11DECh. E - Prob. 12DECh. E - Prob. 13DECh. E - Prob. 1ESCh. E - Prob. 2ESCh. E - Prob. 3ESCh. E - Prob. 4ESCh. E - Prob. 5ESCh. E - Prob. 6ESCh. E - Prob. 7ESCh. E - Prob. 8ESCh. E - Prob. 9ESCh. E - Prob. 10ESCh. E - Prob. 11ESCh. E - Prob. 12ESCh. E - Prob. 13ESCh. E - Prob. 14ESCh. E - Prob. 15ESCh. E - Prob. 16ESCh. E - Prob. 17ESCh. E - Prob. 18ESCh. E - Prob. 19ESCh. E - Prob. 20ESCh. E - Prob. 21ESCh. E - Prob. 22ESCh. E - Prob. 23ESCh. E - Prob. 24ESCh. E - Prob. 25ESCh. E - Prob. 26ESCh. E - Prob. 27ESCh. E - Prob. 28ESCh. E - Prob. 29ESCh. E - Prob. 30ESCh. E - Prob. 31ESCh. E - Prob. 32ESCh. E - 33. Find the union of the set of rational numbers...Ch. E - Prob. 34ESCh. E - Prob. 35ESCh. E - Prob. 36ESCh. E - Prob. 37ESCh. E - Prob. 38ESCh. E - Prob. 39ES
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- 3. Determine the appropriate annihilator for the given F(x). a) F(x) = 5 cos 2x b) F(x)=9x2e3xarrow_forward12.42 The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 0= FT T + 200°C 25°C 25°C T22 0°C T₁ T21 200°C FIGURE P12.42 75°C 75°C 00°C If the plate is represented by a series of nodes (Fig. P12.42), cen- tered finite-divided differences can be substituted for the second derivatives, which results in a system of linear algebraic equations. Use the Gauss-Seidel method to solve for the temperatures of the nodes in Fig. P12.42.arrow_forward9.22 Develop, debug, and test a program in either a high-level language or a macro language of your choice to solve a system of equations with Gauss-Jordan elimination without partial pivoting. Base the program on the pseudocode from Fig. 9.10. Test the program using the same system as in Prob. 9.18. Compute the total number of flops in your algorithm to verify Eq. 9.37. FIGURE 9.10 Pseudocode to implement the Gauss-Jordan algorithm with- out partial pivoting. SUB GaussJordan(aug, m, n, x) DOFOR k = 1, m d = aug(k, k) DOFOR j = 1, n aug(k, j) = aug(k, j)/d END DO DOFOR 1 = 1, m IF 1 % K THEN d = aug(i, k) DOFOR j = k, n aug(1, j) END DO aug(1, j) - d*aug(k, j) END IF END DO END DO DOFOR k = 1, m x(k) = aug(k, n) END DO END GaussJordanarrow_forward
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