In each of Problems 1 through 6, compute V-FandVxlF and verify explicitly that v. (V ×...
Exercise 4.12. For the pairs of vectors v, w below, compute projwv and proj,w. Also, verify that v and w – projųw are orthogonal and v and v – projwv are orthogonal. 0 (1) v= (0) -- 2 (2) v= W =
1. Choose any non-zero scalar field and explicitly verify that the curl of its gradient is zero
In each of Problems 6 through 10, solve the initial value problem. 6. y +3y=5e2x – 6; y(0) = 2
problem 6 please!
In each of Problems 1 through 12 find the general solution of the given system of equations. 13 1. X' X+ 2. x' = X + 3 13 e 1 2 COST -2t 3. x' = X+ ( 4. x' = X + ( 1 sint 4 –zet 4 5. x' = X+ t> 0 8 -4 65-7-2)*+(24) t> 0
Do JUST # 3 Please
In each of Problems 1 through 6: a. Show that the given differential equation has a regular singular point at x0. b. Determine the indicial equation, the recurrence relation, and the roots of the indicial equation. c. Find the series solution (x >0) corresponding to the larger root. d. If the roots are unequal and do not differ by an integer, find the series solution corresponding to the smaller root also. 2. xy" +xy+ 3....
Do JUST # 2 please
In each of Problems 1 through 6: a. Show that the given differential equation has a regular singular point at x0. b. Determine the indicial equation, the recurrence relation, and the roots of the indicial equation. c. Find the series solution (x >0) corresponding to the larger root. d. If the roots are unequal and do not differ by an integer, find the series solution corresponding to the smaller root also. 2. xy" +xy+ 3....
Pls Solve 1 and 4 only!!
PROBLEMSIn each of Problems 1 through 6: (a) Find the general solution of the given system of equations and describe the behavior of the solution as t → 00 (b) Draw a direction field and plot a few trajectories of the system. 3 -2 2 -2 2, x' = 3 -2
PROBLEMSIn each of Problems 1 through 6: (a) Find the general solution of the given system of equations and describe the behavior of...
number three please!
In each of Problems 1 through 6, find the mass and center of mass of the shell Σ 1. Σ is a triangle with vertices (1,0,0),(0.3.0) and (0, 0, 2), with 8(x. y. z)-xz+1. 2. Σ is the part of the sphere x2 +y2 +z-9 above the plane z= 1, and the density function is constant. 3. Σ is the cone z-yx't y,2 for x2 +y? < 9, δ constant
In each of Problems 1 through 6,...
1. Verify that the set V, consisting of all scalar multiples of (1,-1, -2) is a subspace of R. 2. Let V, be the set of all 2 x 3 matrices. Verify that V, is a vector space. 3. Let A=(1-11) Let V, be the set of vectors x € R such that Ax = 0. Verify that V, is a subspace of R. Compare V, with V.
i am trying to work through several homework problems for a
class assignment due tonight. can anyone show me how I would work
through each one of these problems step by step? we are graded on
our methodology so any help, please and thanks greatly, explicitly
detailing the steps for solving the problem (so that I can know
where I might be messing up) would be wonderful
Dconsider the function fW):=v3/+x for XELO,27 a) absdute maximum and an absolute minimum...