EBK APPLIED CALCULUS, ENHANCED ETEXT
6th Edition
ISBN: 9781119399353
Author: DA
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 2.3, Problem 37P
To determine
(a)
The equation relating
To determine
(b)
The value of
To determine
(c)
The value of
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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 2 Solutions
EBK APPLIED CALCULUS, ENHANCED ETEXT
Ch. 2.1 - Prob. 1PCh. 2.1 - Prob. 2PCh. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.1 - Prob. 5PCh. 2.1 - Prob. 6PCh. 2.1 - Prob. 7PCh. 2.1 - Prob. 8PCh. 2.1 - Prob. 9PCh. 2.1 - Prob. 10P
Ch. 2.1 - Prob. 11PCh. 2.1 - Prob. 12PCh. 2.1 - Prob. 13PCh. 2.1 - Prob. 14PCh. 2.1 - Prob. 15PCh. 2.1 - Prob. 16PCh. 2.1 - Prob. 17PCh. 2.1 - Prob. 18PCh. 2.1 - Prob. 19PCh. 2.1 - Prob. 20PCh. 2.1 - Prob. 21PCh. 2.1 - Prob. 22PCh. 2.1 - Prob. 23PCh. 2.1 - Prob. 24PCh. 2.1 - Prob. 25PCh. 2.1 - Prob. 26PCh. 2.1 - Prob. 27PCh. 2.1 - Prob. 28PCh. 2.1 - Prob. 29PCh. 2.1 - Prob. 30PCh. 2.1 - Prob. 31PCh. 2.1 - Prob. 32PCh. 2.1 - Prob. 33PCh. 2.1 - Prob. 34PCh. 2.1 - Prob. 35PCh. 2.1 - Prob. 36PCh. 2.1 - Prob. 37PCh. 2.1 - Prob. 38PCh. 2.1 - Prob. 39PCh. 2.1 - Prob. 40PCh. 2.1 - Prob. 41PCh. 2.2 - Prob. 1PCh. 2.2 - Prob. 2PCh. 2.2 - Prob. 3PCh. 2.2 - Prob. 4PCh. 2.2 - Prob. 5PCh. 2.2 - Prob. 6PCh. 2.2 - Prob. 7PCh. 2.2 - Prob. 8PCh. 2.2 - Prob. 9PCh. 2.2 - Prob. 10PCh. 2.2 - Prob. 11PCh. 2.2 - Prob. 12PCh. 2.2 - Prob. 13PCh. 2.2 - Prob. 14PCh. 2.2 - Prob. 15PCh. 2.2 - Prob. 16PCh. 2.2 - Prob. 17PCh. 2.2 - Prob. 18PCh. 2.2 - Prob. 19PCh. 2.2 - Prob. 20PCh. 2.2 - Prob. 21PCh. 2.2 - Prob. 22PCh. 2.2 - Prob. 23PCh. 2.2 - Prob. 24PCh. 2.2 - Prob. 25PCh. 2.2 - Prob. 26PCh. 2.2 - Prob. 27PCh. 2.2 - Prob. 28PCh. 2.2 - Prob. 29PCh. 2.2 - Prob. 30PCh. 2.2 - Prob. 31PCh. 2.2 - Prob. 32PCh. 2.2 - Prob. 33PCh. 2.2 - Prob. 34PCh. 2.2 - Prob. 35PCh. 2.3 - Prob. 1PCh. 2.3 - Prob. 2PCh. 2.3 - Prob. 3PCh. 2.3 - Prob. 4PCh. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - Prob. 9PCh. 2.3 - Prob. 10PCh. 2.3 - Prob. 11PCh. 2.3 - Prob. 12PCh. 2.3 - Prob. 13PCh. 2.3 - Prob. 14PCh. 2.3 - Prob. 15PCh. 2.3 - Prob. 16PCh. 2.3 - Prob. 17PCh. 2.3 - Prob. 18PCh. 2.3 - Prob. 19PCh. 2.3 - Prob. 20PCh. 2.3 - Prob. 21PCh. 2.3 - Prob. 22PCh. 2.3 - Prob. 23PCh. 2.3 - Prob. 24PCh. 2.3 - Prob. 25PCh. 2.3 - Prob. 26PCh. 2.3 - Prob. 27PCh. 2.3 - Prob. 28PCh. 2.3 - Prob. 29PCh. 2.3 - Prob. 30PCh. 2.3 - Prob. 31PCh. 2.3 - Prob. 32PCh. 2.3 - Prob. 33PCh. 2.3 - Prob. 34PCh. 2.3 - Prob. 35PCh. 2.3 - Prob. 36PCh. 2.3 - Prob. 37PCh. 2.3 - Prob. 38PCh. 2.3 - Prob. 39PCh. 2.3 - Prob. 40PCh. 2.3 - Prob. 41PCh. 2.3 - Prob. 42PCh. 2.3 - Prob. 43PCh. 2.3 - Prob. 44PCh. 2.3 - Prob. 45PCh. 2.3 - Prob. 46PCh. 2.3 - Prob. 47PCh. 2.3 - Prob. 48PCh. 2.3 - Prob. 49PCh. 2.3 - Prob. 50PCh. 2.3 - Prob. 51PCh. 2.3 - Prob. 52PCh. 2.3 - Prob. 53PCh. 2.3 - Prob. 54PCh. 2.3 - Prob. 55PCh. 2.3 - Prob. 56PCh. 2.3 - Prob. 57PCh. 2.3 - Prob. 58PCh. 2.3 - Prob. 59PCh. 2.3 - Prob. 60PCh. 2.3 - Prob. 61PCh. 2.3 - Prob. 62PCh. 2.3 - Prob. 63PCh. 2.3 - Prob. 64PCh. 2.3 - Prob. 65PCh. 2.3 - Prob. 66PCh. 2.3 - Prob. 67PCh. 2.3 - Prob. 68PCh. 2.3 - Prob. 69PCh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Prob. 6PCh. 2.4 - Prob. 7PCh. 2.4 - Prob. 8PCh. 2.4 - Prob. 9PCh. 2.4 - Prob. 10PCh. 2.4 - Prob. 11PCh. 2.4 - Prob. 12PCh. 2.4 - Prob. 13PCh. 2.4 - Prob. 14PCh. 2.4 - Prob. 15PCh. 2.4 - Prob. 16PCh. 2.4 - Prob. 17PCh. 2.4 - Prob. 18PCh. 2.4 - Prob. 19PCh. 2.4 - Prob. 20PCh. 2.4 - Prob. 21PCh. 2.4 - Prob. 22PCh. 2.4 - Prob. 23PCh. 2.4 - Prob. 24PCh. 2.4 - Prob. 25PCh. 2.4 - Prob. 26PCh. 2.4 - Prob. 27PCh. 2.4 - Prob. 28PCh. 2.4 - Prob. 29PCh. 2.4 - Prob. 30PCh. 2.4 - Prob. 31PCh. 2.4 - Prob. 32PCh. 2.4 - Prob. 33PCh. 2.4 - Prob. 34PCh. 2.4 - Prob. 35PCh. 2.4 - Prob. 36PCh. 2.5 - Prob. 1PCh. 2.5 - Prob. 2PCh. 2.5 - Prob. 3PCh. 2.5 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.5 - Prob. 10PCh. 2.5 - Prob. 11PCh. 2.5 - Prob. 12PCh. 2.5 - Prob. 13PCh. 2.5 - Prob. 14PCh. 2.5 - Prob. 15PCh. 2.5 - Prob. 16PCh. 2.5 - Prob. 17PCh. 2.5 - Prob. 18PCh. 2.5 - Prob. 19PCh. 2 - Prob. 1SYUCh. 2 - Prob. 2SYUCh. 2 - Prob. 3SYUCh. 2 - Prob. 4SYUCh. 2 - Prob. 5SYUCh. 2 - Prob. 6SYUCh. 2 - Prob. 7SYUCh. 2 - Prob. 8SYUCh. 2 - Prob. 9SYUCh. 2 - Prob. 10SYUCh. 2 - Prob. 11SYUCh. 2 - Prob. 12SYUCh. 2 - Prob. 13SYUCh. 2 - Prob. 14SYUCh. 2 - Prob. 15SYUCh. 2 - Prob. 16SYUCh. 2 - Prob. 17SYUCh. 2 - Prob. 18SYUCh. 2 - Prob. 19SYUCh. 2 - Prob. 20SYUCh. 2 - Prob. 21SYUCh. 2 - Prob. 22SYUCh. 2 - Prob. 23SYUCh. 2 - Prob. 24SYUCh. 2 - Prob. 25SYUCh. 2 - Prob. 26SYUCh. 2 - Prob. 27SYUCh. 2 - Prob. 28SYUCh. 2 - Prob. 29SYUCh. 2 - Prob. 30SYUCh. 2 - Prob. 31SYUCh. 2 - Prob. 32SYUCh. 2 - Prob. 33SYUCh. 2 - Prob. 34SYUCh. 2 - Prob. 35SYUCh. 2 - Prob. 36SYUCh. 2 - Prob. 37SYUCh. 2 - Prob. 38SYUCh. 2 - Prob. 39SYUCh. 2 - Prob. 40SYUCh. 2 - Prob. 41SYUCh. 2 - Prob. 42SYUCh. 2 - Prob. 43SYUCh. 2 - Prob. 44SYUCh. 2 - Prob. 45SYUCh. 2 - Prob. 46SYUCh. 2 - Prob. 47SYUCh. 2 - Prob. 48SYUCh. 2 - Prob. 49SYUCh. 2 - Prob. 50SYUCh. 2 - Prob. 51SYUCh. 2 - Prob. 52SYUCh. 2 - Prob. 53SYUCh. 2 - Prob. 54SYUCh. 2 - Prob. 55SYUCh. 2 - Prob. 1FOTCh. 2 - Prob. 2FOTCh. 2 - Prob. 3FOTCh. 2 - Prob. 4FOTCh. 2 - Prob. 5FOTCh. 2 - Prob. 6FOTCh. 2 - Prob. 7FOTCh. 2 - Prob. 8FOTCh. 2 - Prob. 9FOTCh. 2 - Prob. 10FOTCh. 2 - Prob. 11FOTCh. 2 - Prob. 12FOTCh. 2 - Prob. 13FOTCh. 2 - Prob. 14FOTCh. 2 - Prob. 15FOTCh. 2 - Prob. 16FOTCh. 2 - Prob. 17FOTCh. 2 - Prob. 18FOTCh. 2 - Prob. 19FOTCh. 2 - Prob. 20FOTCh. 2 - Prob. 21FOTCh. 2 - Prob. 22FOTCh. 2 - Prob. 23FOTCh. 2 - Prob. 24FOTCh. 2 - Prob. 25FOTCh. 2 - Prob. 26FOTCh. 2 - Prob. 27FOTCh. 2 - Prob. 28FOTCh. 2 - Prob. 29FOTCh. 2 - Prob. 30FOTCh. 2 - Prob. 31FOTCh. 2 - Prob. 32FOTCh. 2 - Prob. 33FOTCh. 2 - Prob. 34FOTCh. 2 - Prob. 35FOTCh. 2 - Prob. 36FOTCh. 2 - Prob. 37FOTCh. 2 - Prob. 38FOTCh. 2 - Prob. 39FOTCh. 2 - Prob. 40FOTCh. 2 - Prob. 41FOTCh. 2 - Prob. 42FOTCh. 2 - Prob. 43FOT
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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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