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Need help on math modeling problems regarding linear partial differential equation 67.3. Suppose initially (t = 0) that the traffic density is p = Do + Esin , where le « po. Determine p(x, t). 67.4. Consider Õpildt + copildx) = 0. Suppose we observe pi in a coordinate system moving at velocity v. Show that др. +(c dr 0. v) dx' Does p stay constant moving at the car velocity? 67.5. Based on a linear analysis, would you say...
You are asked to evaluate the following two projects for Boring Corporation. Use a discount rate of 10 percent. Use Appendix B. Project X (DVDsof the Weather Reports)($14,000 Investment)Project Y (Slow-MotionReplays of Commercials)($34,000 Investment)Year Cash FlowYearCash Flow1$7,0001$17,00025,000210,00036,000311,00045,600413,000 a. Calculate the profitability index for project X. (Round "PV Factor" to 3 decimal places. Round the final answer to 2 decimal places.) PI Not attempted b. Calculate the profitability index for project Y. (Round "PV Factor" to 3 decimal places. Round the final answer to 2 decimal places.) PI 1.20 1.20...
Since the circumference varies with the diameter, the equation C=pi*d is: a linear relationship. an inverse relationship. an indirect relationship. a rational relationship.
Reference: Case Study 1 (Python) >>> import math >>> numsides = 8 >>> innerangleB = 360.0/numsides >>> halfangleA = innerangleB/2 >>> onehalfsideS = math.sin(math.radians(halfangleA)) >>> sideS = onehalfsideS * 2 >>> polygonCircumference = numsides * sideS >>> pi = polygonCircumference / 2 >>> pi 3.0614674589207183 >>> Refer to the session in the accompanying case study. Which line uses the math module? A. innerangleB = 360.0/numsides B. onehalfsideS = math.sin(math.radians(halfangleA)) C. pi = polygonCircumference / 2 D. sideS = onehalfsideS *...
Find the solution set of each equation in the interval: 0 ≤ x < 2pi . sinx cosx = –cosx For a progress review that I dont understand. Please explain. A B C (0, pi) D pi 3pi 2' 2 2 pi D2 201 21 pi 3pi , 2pi 2' 2
Solve Laplace's equation on \(-\pi \leq x \leq \pi\) and \(0 \leq y \leq 1\),$$ \frac{\partial^{2} u}{\partial x^{2}}+\frac{\partial^{2} u}{\partial y^{2}}=0 $$subject to periodic boundary conditions in \(x\),$$ \begin{aligned} u(-\pi, y) &=u(\pi, y) \\ \frac{\partial u}{\partial x}(-\pi, y) &=\frac{\partial u}{\partial x}(\pi, y) \end{aligned} $$and the Dirichlet conditions in \(y\),$$ u(x, 0)=h(x), \quad u(x, 1)=0 $$
of ARKANSAS AT PINE BLUFF 1873 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE College Algebra - MATH 1330 Name: Section: Solve the equations. 1. 5x + 2 = 8x - 7 2. 5+ 3[2 - 3(2x + 7) + z] = 52 - 4[2x + 3(7 + z) - 8] 3. 3y(2y + 5) - 9 = 2y(3y + 1) + 7 4. 3r + 1 = 5r + 1 4 3 8 2 5. 7t + 2 = 5 3t-1...
advanced linear algebra thxxxxxxxx Consider the complex vector space P4(C) of polynomials of degree at most 4 with coeffi- cients in C, equipped with the inner product ⟨ , ⟩ defined by 5. Consider the complex vector space P4(C) of polynomials of degree at most 4 with coeffi- cients in C, equipped with the inner product (, ) defined by (f, g)fx)g(xJdx. (a) Find an orthogonal basis of the subspace Pi(C)span,x (b) Find the element of Pi (C) that is...
n2 Which of the following is the characteristic equation of the constant coefficient equation obtained by reducing the Cauchy-Euler equation ed 2cy" + x²y" + 2xy' +y=0 out of by making the transformation x = et? question Select one: O A. 203 - 512 + 2r +1=0 O B. 2r3 _ 5r2+p+1=0 O C. 2r3 – 5r2 + 4r +1=0 O D. 2r3 – 5p2 + 3r +1=0 O E. 2r3 - 502 +5r +1=0