APPLIED CALCULUS-PRINT COMPANION (LL)
6th Edition
ISBN: 9781119275565
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 10.3, Problem 9P
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In long run, how much of this toxin accumulates in the person’s body? Give the quantities right after and right before lunch.
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(14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of
ze(+2) sitting over the unit disk.
6. Solve the system of differential equations using Laplace Transforms:
x(t) = 3x₁ (t) + 4x2(t)
x(t) = -4x₁(t) + 3x2(t)
x₁(0) = 1,x2(0) = 0
3. Determine the Laplace Transform for the following functions. Show all of your work:
1-t, 0 ≤t<3
a. e(t) = t2, 3≤t<5
4, t≥ 5
b. f(t) = f(tt)e-3(-) cos 4τ dr
Chapter 10 Solutions
APPLIED CALCULUS-PRINT COMPANION (LL)
Ch. 10.1 - Prob. 1PCh. 10.1 - Prob. 2PCh. 10.1 - Prob. 3PCh. 10.1 - Prob. 4PCh. 10.1 - Prob. 5PCh. 10.1 - Prob. 6PCh. 10.1 - Prob. 7PCh. 10.1 - Prob. 8PCh. 10.1 - Prob. 9PCh. 10.1 - Prob. 10P
Ch. 10.1 - Prob. 11PCh. 10.1 - Prob. 12PCh. 10.1 - Prob. 13PCh. 10.1 - Prob. 14PCh. 10.1 - Prob. 15PCh. 10.1 - Prob. 16PCh. 10.1 - Prob. 17PCh. 10.1 - Prob. 18PCh. 10.1 - Prob. 19PCh. 10.1 - Prob. 20PCh. 10.1 - Prob. 21PCh. 10.1 - Prob. 22PCh. 10.1 - Prob. 23PCh. 10.1 - Prob. 24PCh. 10.1 - Prob. 25PCh. 10.1 - Prob. 26PCh. 10.1 - Prob. 27PCh. 10.1 - Prob. 28PCh. 10.1 - Prob. 29PCh. 10.1 - Prob. 30PCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 7PCh. 10.2 - Prob. 8PCh. 10.2 - Prob. 9PCh. 10.2 - Prob. 10PCh. 10.2 - Prob. 11PCh. 10.2 - Prob. 12PCh. 10.2 - Prob. 13PCh. 10.2 - Prob. 14PCh. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - Prob. 17PCh. 10.2 - Prob. 18PCh. 10.2 - Prob. 19PCh. 10.2 - Prob. 20PCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10PCh. 10.3 - Prob. 11PCh. 10.3 - Prob. 12PCh. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - Prob. 17PCh. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10 - Prob. 1SYUCh. 10 - Prob. 2SYUCh. 10 - Prob. 3SYUCh. 10 - Prob. 4SYUCh. 10 - Prob. 5SYUCh. 10 - Prob. 6SYUCh. 10 - Prob. 7SYUCh. 10 - Prob. 8SYUCh. 10 - Prob. 9SYUCh. 10 - Prob. 10SYUCh. 10 - Prob. 11SYUCh. 10 - Prob. 12SYUCh. 10 - Prob. 13SYUCh. 10 - Prob. 14SYUCh. 10 - Prob. 15SYUCh. 10 - Prob. 16SYUCh. 10 - Prob. 17SYUCh. 10 - Prob. 18SYUCh. 10 - Prob. 19SYUCh. 10 - Prob. 20SYUCh. 10 - Prob. 21SYUCh. 10 - Prob. 22SYUCh. 10 - Prob. 23SYUCh. 10 - Prob. 24SYUCh. 10 - Prob. 25SYUCh. 10 - Prob. 26SYUCh. 10 - Prob. 27SYUCh. 10 - Prob. 28SYUCh. 10 - Prob. 29SYUCh. 10 - Prob. 30SYU
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- 4. Find the inverse Laplace Transform Show all of your work: a. F(s) = = 2s-3 (s²-10s+61)(5-3) se-2s b. G(s) = (s+2)²arrow_forward1. Consider the differential equation, show all of your work: dy =(y2)(y+1) dx a. Determine the equilibrium solutions for the differential equation. b. Where is the differential equation increasing or decreasing? c. Where are the changes in concavity? d. Suppose that y(0)=0, what is the value of y as t goes to infinity?arrow_forward2. Suppose a LC circuit has the following differential equation: q'+4q=6etcos 4t, q(0) = 1 a. Find the function for q(t), use any method that we have studied in the course. b. What is the transient and the steady-state of the circuit?arrow_forward
- 5. Use variation of parameters to find the general solution to the differential equation: y" - 6y' + 9y=e3x Inxarrow_forwardLet the region R be the area enclosed by the function f(x) = ln (x) + 2 and g(x) = x. Write an integral in terms of x and also an integral in terms of y that would represent the area of the region R. If necessary, round limit values to the nearest thousandth. 5 4 3 2 1 y x 1 2 3 4arrow_forward(28 points) Define T: [0,1] × [−,0] → R3 by T(y, 0) = (cos 0, y, sin 0). Let S be the half-cylinder surface traced out by T. (a) (4 points) Calculate the normal field for S determined by T.arrow_forward
- (14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of ze(+2) sitting over the unit disk. = (a) (4 points) What is the boundary OS? Explain briefly. (b) (4 points) Let F(x, y, z) = (e³+2 - 2y, xe³±² + y, e²+y). Calculate the curl V × F.arrow_forward(6 points) Let S be the surface z = 1 − x² - y², x² + y² ≤1. The boundary OS of S is the unit circle x² + y² = 1. Let F(x, y, z) = (x², y², z²). Use the Stokes' Theorem to calculate the line integral Hint: First calculate V x F. Jos F F.ds.arrow_forward(28 points) Define T: [0,1] × [−,0] → R3 by T(y, 0) = (cos 0, y, sin 0). Let S be the half-cylinder surface traced out by T. (a) (4 points) Calculate the normal field for S determined by T.arrow_forward
- I need the last answer t=? I did got the answer for the first two this is just homework.arrow_forward7) 8) Let R be the region bounded by the given curves as shown in the figure. If the line x = k divides R into two regions of equal area, find the value of k 7. y = 3√x, y = √x and x = 4 8. y = -2, y = 3, x = −3, and x = −1 -1 2 +1 R Rarrow_forwardSolve this question and show steps.arrow_forward
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