1. AND 2. You didn't provided circuit for 2nd question. Update the question with circuit diagram. I will update my answer for question 2.
= r.Cos (0), y r sin(0), and zr0 Let x.y,z)=x y+y zxz, where x 3-where w(r,0) = u(x(r,0),y(r,0),2(r,0)) Owr.0) for r= 1, 0 = д0 (r,0) and дr Evaluate 2
= r.Cos (0), y r sin(0), and zr0 Let x.y,z)=x y+y zxz, where x 3-where w(r,0) = u(x(r,0),y(r,0),2(r,0)) Owr.0) for r= 1, 0 = д0 (r,0) and дr Evaluate 2
8 0/1 points | Previous Answers SEssCalcET2 12.8.024 !My N Evaluate the integral by making an appropriate change of variables where R is the rectangle enclosed by the lines x -y-o, x -y-3, x+y o, and x y - s 9(x + y)e- y* dA,
8 0/1 points | Previous Answers SEssCalcET2 12.8.024 !My N Evaluate the integral by making an appropriate change of variables where R is the rectangle enclosed by the lines x -y-o, x -y-3, x+y o,...
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0<x<a, 0<t (2') u(0,y, t)-gi(v), u(a,y,t)-89(v) 0 <y<b, o<t (3) Show that the steady-state solution involves the potential equation, and indicate how to solve it.
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0
002 10.0 points Find the Jacobian of the transformation T: (r, 0) + (x, y) when x = e" cose, y = 2e-" sin . 1. O(x, y) = 2 cos 20 a(r, 0) 2. 8(x, y) a(r, 0j = -3e2r 2(x, y) a(r, 0) = -2 cos 20 4. (x, y) = 2 4. Əlr, o) 5. 0(x, y) = 3er cos 20 5. Ə(r, ) 2(x, y) - 2.21 DA a(r, 0) = -3e4
please show work
a) y' tay= ub(+)- uclt) y(0)=yo * I'll send graph in text allalb,cyel = (311,8,1) b) (a,b,clyol = (-1,1,2,0) c) (a, b, c,yol = (1, 1,8, 0) d) (a,b,c, yo) = (-1,108,0) el labic, yo) = (0,1; 8.0 10) solve ODE inter problem. This problem of fine based I y'- 3y + 2y = 58 (t-1)-4₂(+), 6-2 y(o)=0, y los
Given that yı(x) = r-1 is a solution of 2c?y" + 3ry - y=0. Find a second solution of the given equation by using the method of reduction of order. O y2(:-) = O 42(:) = 1-1/2 O 42(x)=1/2 O y2(x) = 73/2 Oy2(r) =
9. Solve Walrasian equilibria for the exchange economy ua(x,y)=lnx+lny,uB(x,y)= 2 In x + 3 Iny, aA = (4,2) and wB = (5,5). D beled Edgeworth box escribe vour answers in a clearly la-
Let (X, Y) have joint pdf given by f(r, y)= < a, 0 < < 0, О.w., (a) Find the constant c (b) Find fx(x) and fy(y) (c) For 0 x< 1, find fyx=r (y) and py|x=x and oyx= (d) Find Cov(X, Y) (e) Are X and Y independent? Explain why
A function f : R^2 ↦R is called a metric if f(x, y) >= 0 for all x, y that are an element of R, f(x,y) = 0 if and only if x = y, and for any x, y, z we have f(x, z) <= f(x,y) + f(y, z). Is the function f(x, y) = the square root of |x - y| a metric or not?
Let R be the region bounded by y=x' and y=e" and vertical lines X= 0 and X=l as shown in the graph below. Which answer shows the correct integral to determine the volume of the solid when Ris revolved about the horizontal line y = 3? 0 218 xex-xlax or! [3–ex)2-(3-x2)?]dx . 163–x2)2-(3-em)?]dx 0215*3-vXV3 – Inw) ay o 2015 (57 - Incy)dy