Given ,
and
then distribution will be
Now,
we have obtained joint function of X and Y and then applied Jacobian Transformation ;
Now, using Gamma - Beta relation and thus we obtained our result .
X+Y r(v) S-l
Let U = q r s tu, y, W, X, y, A A={a, s, u w. } B= 4 S. Y. A C= {v. W, X, Y. } List the elements in the set A O A. f. t. V. X, } O B. S. L. W. } 0 C. 4 5 y z} D. q, I.S. t U. V W x y z} Click to select your answer AP1 Brain-nerves....docx Ch 20-22 hervet.de
4.let U= {q,r,s,t,u,v,w,x,y,z}; A= {q,s,u,w,y};and C={v,w,x,y,z,}; list the members of the indicated set , using set braces A'u B A.{Q,R,S,T,V,X,Y,Z} B.{S,U,W} C.{R,S,T,U,V,W,X,Z} D.{Q,S,T,U,V,W,X,Y}
Let L: R^2 --> R be a function defined by L(x,y)=x^2 + y^2 . L(2,3)+L(3,4)=? a. 38 b. 32 c. 34 d. 36
Construct a regular grammar G = {V,T,S,P} such that L(G)= L(r) where r is a regular expression (a+b)a(a+b)*. Question 10 Construct a Regular grammar G = (V, T, S, P) such that L(G) = L(r) wherer is the regular expression (a+b)a(a+b). B I VA A IX E 12 XX, SEE 2 x G 14pt Paragraph
Let V be a finite dimensional vector space over R with an inner product 〈x, y〉 ∈ R for x, y ∈ V . (a) (3points) Let λ∈R with λ>0. Show that 〈x,y〉′ = λ〈x,y〉, for x,y ∈ V, (b) (2 points) Let T : V → V be a linear operator, such that 〈T(x),T(y)〉 = 〈x,y〉, for all x,y ∈ V. Show that T is one-to-one. (c) (2 points) Recall that the norm of a vector x ∈ V...
Problem 4 Let S :R R be such that f (x + y) = f(x) + f(y) for all sy ER Also assume that limf () = LER. 1. Show that f (2x) = 2 (s). 2. Use the result from part 1 to determine the value of L.
for a linear operator T ∈ L(V), V is finite-dimensional. let C={r(T)(v): r(x) ∈ F[x], v non zero} show that C is an invariant of T for the subspace of V.
V X2 + y2 and θ u(r(z, y), θ(x, y))--sech2 r tanh r sin θ 6. [Sec. I 1.5] Letr tan l (y/z) be the usual polar rectangular coordinates relationships. Furthermore, define and u(r(z, y),θ(z, y)) sech2 r tanh r cos θ Show that tanh r
Feed 0011 and 0101 into the transition table: 0 1 x y b q1 (q1,x,R) (q3,y,R) q2 (q1,0,R) (q2,Y,L) (q1,y,R) q3 (q2,0,L) (q0,X.R) (q2,Y,L) q4 (q3,Y,R) Halt