Given u = f(t,u,u'), t>0, u(0) =a0, %3D then 3. is O A. zero stable O B. not zero stable

Q: (18) Find [S], where S = {(a, b, c)|a, b, c E [100], a <b, a <c}.

A: Here is how the set S is defined: S = {(a, b, c) | a, b, c ∈ [100], a &lt; b, a &lt; c}   We must…

Q: T: R2 R2 is defined by х + 7х, [3x, – 4x2] X1 %3D and B = {u,,u,} and B' = {v,v,}, where %3D -- --…

A: Given transformation T:R2→R2, defined by Tx1x2=x1+7x23x1-4x2 and B=u1, u2 and B'=v1,v2 Here u1=22,…

Q: Find u x v, v x u, and v X V. u=i-j, v=j-k

A:

Q: Let X and Y be iid N(1,3). Let U = 4X + Y and V V_dependent or independent? Justify your answer. 2X…

A: Given X  and Y be iid with N(1,3). Mean, μ=1 Standard deviation, σ=3  U = 4X + Y and V = 2X — 3Y

Q: For the functions w =xy + yz + xz, x = 3u + v, y= 3u - v, and z = uv, express , and , using the…

A: Here, w=xy+yz+xzx=3u+vy=3u-vz=uv

Q: 4. Evaluate: [ 1 dt. Vt2 –6t+13

A: Integration of the function helps to find the required value of the given expression. Integration…